Question 1 of 23The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01level of significance, is the proportion of seeds that germinate dependent on the seed type?Observed FrequenciesGerminatedFailed to Germinate17573338760452445Seed Type3121019A.Yes, because the test value 16.86 is greater than the critical value of 13.28B.Yes, because the test value 16.86 is less than the critical value of 14.86C.No, because the test value 16.86 is greater than the critical value of 13.28D.No, because the test value 13.28 is less than the critical value of 16.86Reset SelectionQuestion 2 of 231.0 PointsThe chi-square goodness-of-fit test can be used to test for:A.normalityB.significance of sample statisticsC.difference between population variancesD.difference between population meansReset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.highly correlatedB.directly relatedC.mutually exclusiveD.inversely relatedReset Selection1.0 PointsQuestion 4 of 23The standard error of the estimate, sest, is essentially theA.standard deviation of the explanatory variableB.mean of the explanatory variableC.mean of the residualsD.standard deviation of the residualsReset Selection1.0 PointsQuestion 5 of 23In regression analysis, the variable we are trying to explain or predict is called theA.regression variableB.dependent variableC.residual variableD.independent variableReset SelectionPart 3 of 16 -1.0 PointsQuestion 6 of 23Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of moneyspent by its female charge customers differs, on average, from the amount spent by its male charge customers.To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Basedon these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customersspent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and thesample standard deviation of the amount charged by the 22 men was $59.695.Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart toconclude that, on average, the amount spent by women charge customers differs from the amount spent by mencharge customers.A.No, the p-value of this test is less than 0.10.B.Yes, the test value does not exceed the critical valueC.No, the test value does not exceed the critical value.D.Yes, the p-value of this test is greater than 0.10Reset Selection1.0 PointsQuestion 7 of 23Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test thedifference between the population means,difference,. The sampling distribution of the sample meanis:A.normally distributedB.chi-squared distributed with 99 degrees of freedomC.approximately normalD.t – distributed with 98 degrees of freedomReset SelectionPart 4 of 16 -1.0 PointsQuestion 8 of 23You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n =25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if youobserve the same sample mean and standard deviation for a sample size larger than 25?A.The p â value decreasesB.The p â value stays the sameC.The p â value increasesD.The p â value may increase or decreaseReset Selection1.0 PointsQuestion 9 of 23Results from previous studies showed 79% of all high school seniors from a certain cityplan to attend college after graduation. A random sample of 200 high school seniors fromthis city reveals that 162 plan to attend college. Does this indicate that the percentage hasincreased from that of previous studies? Test at the 5% level of significance.Compute the z or t value of the sample test statistic.A.t = 1.645B.z = 0.69C.z = 0.62D.z = 1.96Reset Selection1.0 PointsQuestion 10 of 23In an article appearing in Todayâs Health a writer states that the average number of calories in a serving of popcorn is75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected arandom sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 witha sample standard deviation of 7.State the null and alternative hypotheses.A.H0:= 75, H1:? 75B.H0:= 75, H1:> 75C.H0:75, H1:< 75D.H0:75, H1:> 75Reset SelectionPart 5 of 16 -Question 11 of 231.0 PointsA previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How manynickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean iswithin 25 milligrams of the true average weight of a nickel?A.36B.196C.239D.139Reset SelectionQuestion 12 of 231.0 PointsFrom a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defectivewill be:A..06B.0.60C.30D.16.667Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsThe mean of a probability distribution is a:A.measure of relative likelihoodB.measure of variability of the distributionC.measure of central locationD.measure of skewness of the distributionReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsIf a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum ofthree, he wins $20. The cost to play the game is $5. What is the expectation of thisgame?A.$3.06B.-$2.78C.-$3.06D.$2.78Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsA furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in everysize, then the total number of different bookcases isA.5B.8C.15D.30Reset SelectionPart 9 of 16 -3.0 PointsQuestion 16 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Companyexecutives want to know whether the demands for these two types of computers are dependent on oneanother. Each day’s demand for each type of computers is categorized as Low, Medium-Low, MediumHigh, or High. The data shown in the table below is based on 200 days of operation. Based on these data,can Staples conclude that demands for these two types of computers are independent? Test at the 5% levelof significance.desktopslowmed-highhighlow31414435med-low618172263med-high1316111656high8141594630laptopsmed-low625751200What is the test value for this hypothesis test?Answer:Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer:Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. At the .05 level of significance, Staples can conclude that demands for these two types of computers areindependent.2. At the .05 level of significance, Staples can conclude that demands for these two types of computers aredependent.Answer:Enter only a 1 or 2 for your answer.Part 10 of 16 -1.0 PointsQuestion 17 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not

.The marketing manager of a large supermarket chain would like to determine the effect of shelf space (infeet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal âsizedstores is selected, with the following results:StoreShelf Space(X)Weekly Sales(Y)1102.02102.63101.84152.35152.86153.07202.78203.19203.210253.011253.312253.5Using the equation of the regression line for these data, predict the average weekly sales (inhundreds of dollars) of international food for stores with 13 feet of shelf space for international food.Place your answer, rounded to 3 decimal places , in the blank. Do not use a dollar sign. Forexample, 2.345 would be a legitimate entry.Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of moneyspent by its female charge customers differs, on average, from the amount spent by its male charge customers.To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Basedon these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customersspent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and thesample standard deviation of the amount charged by the 22 men was $59.695.Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that,on average, the amount spent by women charge customers differs from the amount spent by men charge customers.That is suppose you wish to testH0:versus H1:Assuming that the amounts spent by female and male charge customers at Q-Mart are normally distributed, based onthe procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test ofhypothesis? Place your answer, rounded to 3 decimal places, in the blank. If there are two critical values, place only thepositive value in the blank. For example, 2.035 would be a legitimate entry.Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mrs. Smith’s reading class can read a mean of 175 words per minute with a standarddeviation of 20 words per minute. The top 3% of the class is to receive a special award.Assuming that the distribution of words read per minute are normally distributed, what isthe minimum number of words per minute a student would have to read in order to get theaward? Place your answer, rounded to the nearest whole number, in theblank.When entering your answer do not use any labels orsymbols. Simply provide the numerical value. For example, 123 would be a legitimateentry.Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, whatis the probability the average mpg achieved by these 30 cars will be greater than 27?Answer:legitimate entry.Round your answer to 4 decimal places as necessary. For example, 0.1357 would be aPart 14 of 16 -1.0 PointsQuestion 21 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Find the expected value of the following probability distribution.X12345P(X)0.050.200.350.250.15Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.Expected value =Part 15 of 16 -1.0 PointsQuestion 22 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shopdetermines that of 240 customers, 18 customers stated their preference for mint chocolate chip.Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice hasincreased at a 5% level of significance.P-value:Round your answer to four decimal places as necessary.Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find theprobability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23would be a legitimate entry.

Question 1 of 23The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01level of significance, is the proportion of seeds that germinate dependent on the seed type?Observed FrequenciesGerminatedFailed to Germinate17573338760452445Seed Type3121019A.Yes, because the test value 16.86 is greater than the critical value of 13.28B.Yes, because the test value 16.86 is less than the critical value of 14.86C.No, because the test value 16.86 is greater than the critical value of 13.28D.No, because the test value 13.28 is less than the critical value of 16.86Reset SelectionQuestion 2 of 231.0 PointsThe chi-square goodness-of-fit test can be used to test for:A.normalityB.significance of sample statisticsC.difference between population variancesD.difference between population meansReset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.highly correlatedB.directly relatedC.mutually exclusiveD.inversely relatedReset Selection1.0 PointsQuestion 4 of 23The standard error of the estimate, sest, is essentially theA.standard deviation of the explanatory variableB.mean of the explanatory variableC.mean of the residualsD.standard deviation of the residualsReset Selection1.0 PointsQuestion 5 of 23In regression analysis, the variable we are trying to explain or predict is called theA.regression variableB.dependent variableC.residual variableD.independent variableReset SelectionPart 3 of 16 -1.0 PointsQuestion 6 of 23Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of moneyspent by its female charge customers differs, on average, from the amount spent by its male charge customers.To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Basedon these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customersspent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and thesample standard deviation of the amount charged by the 22 men was $59.695.Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart toconclude that, on average, the amount spent by women charge customers differs from the amount spent by mencharge customers.A.No, the p-value of this test is less than 0.10.B.Yes, the test value does not exceed the critical valueC.No, the test value does not exceed the critical value.D.Yes, the p-value of this test is greater than 0.10Reset Selection1.0 PointsQuestion 7 of 23Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test thedifference between the population means,difference,. The sampling distribution of the sample meanis:A.normally distributedB.chi-squared distributed with 99 degrees of freedomC.approximately normalD.t – distributed with 98 degrees of freedomReset SelectionPart 4 of 16 -1.0 PointsQuestion 8 of 23You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n =25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if youobserve the same sample mean and standard deviation for a sample size larger than 25?A.The p â value decreasesB.The p â value stays the sameC.The p â value increasesD.The p â value may increase or decreaseReset Selection1.0 PointsQuestion 9 of 23Results from previous studies showed 79% of all high school seniors from a certain cityplan to attend college after graduation. A random sample of 200 high school seniors fromthis city reveals that 162 plan to attend college. Does this indicate that the percentage hasincreased from that of previous studies? Test at the 5% level of significance.Compute the z or t value of the sample test statistic.A.t = 1.645B.z = 0.69C.z = 0.62D.z = 1.96Reset Selection1.0 PointsQuestion 10 of 23In an article appearing in Todayâs Health a writer states that the average number of calories in a serving of popcorn is75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected arandom sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 witha sample standard deviation of 7.State the null and alternative hypotheses.A.H0:= 75, H1:? 75B.H0:= 75, H1:> 75C.H0:75, H1:< 75D.H0:75, H1:> 75Reset SelectionPart 5 of 16 -Question 11 of 231.0 PointsA previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How manynickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean iswithin 25 milligrams of the true average weight of a nickel?A.36B.196C.239D.139Reset SelectionQuestion 12 of 231.0 PointsFrom a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defectivewill be:A..06B.0.60C.30D.16.667Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsThe mean of a probability distribution is a:A.measure of relative likelihoodB.measure of variability of the distributionC.measure of central locationD.measure of skewness of the distributionReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsIf a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum ofthree, he wins $20. The cost to play the game is $5. What is the expectation of thisgame?A.$3.06B.-$2.78C.-$3.06D.$2.78Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsA furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in everysize, then the total number of different bookcases isA.5B.8C.15D.30Reset SelectionPart 9 of 16 -3.0 PointsQuestion 16 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Companyexecutives want to know whether the demands for these two types of computers are dependent on oneanother. Each day’s demand for each type of computers is categorized as Low, Medium-Low, MediumHigh, or High. The data shown in the table below is based on 200 days of operation. Based on these data,can Staples conclude that demands for these two types of computers are independent? Test at the 5% levelof significance.desktopslowmed-highhighlow31414435med-low618172263med-high1316111656high8141594630laptopsmed-low625751200What is the test value for this hypothesis test?Answer:Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer:Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. At the .05 level of significance, Staples can conclude that demands for these two types of computers areindependent.2. At the .05 level of significance, Staples can conclude that demands for these two types of computers aredependent.Answer:Enter only a 1 or 2 for your answer.Part 10 of 16 -1.0 PointsQuestion 17 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not

.The marketing manager of a large supermarket chain would like to determine the effect of shelf space (infeet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal âsizedstores is selected, with the following results:StoreShelf Space(X)Weekly Sales(Y)1102.02102.63101.84152.35152.86153.07202.78203.19203.210253.011253.312253.5Using the equation of the regression line for these data, predict the average weekly sales (inhundreds of dollars) of international food for stores with 13 feet of shelf space for international food.Place your answer, rounded to 3 decimal places , in the blank. Do not use a dollar sign. Forexample, 2.345 would be a legitimate entry.Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of moneyspent by its female charge customers differs, on average, from the amount spent by its male charge customers.To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Basedon these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customersspent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and thesample standard deviation of the amount charged by the 22 men was $59.695.Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that,on average, the amount spent by women charge customers differs from the amount spent by men charge customers.That is suppose you wish to testH0:versus H1:Assuming that the amounts spent by female and male charge customers at Q-Mart are normally distributed, based onthe procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test ofhypothesis? Place your answer, rounded to 3 decimal places, in the blank. If there are two critical values, place only thepositive value in the blank. For example, 2.035 would be a legitimate entry.Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mrs. Smith’s reading class can read a mean of 175 words per minute with a standarddeviation of 20 words per minute. The top 3% of the class is to receive a special award.Assuming that the distribution of words read per minute are normally distributed, what isthe minimum number of words per minute a student would have to read in order to get theaward? Place your answer, rounded to the nearest whole number, in theblank.When entering your answer do not use any labels orsymbols. Simply provide the numerical value. For example, 123 would be a legitimateentry.Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, whatis the probability the average mpg achieved by these 30 cars will be greater than 27?Answer:legitimate entry.Round your answer to 4 decimal places as necessary. For example, 0.1357 would be aPart 14 of 16 -1.0 PointsQuestion 21 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Find the expected value of the following probability distribution.X12345P(X)0.050.200.350.250.15Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.Expected value =Part 15 of 16 -1.0 PointsQuestion 22 of 23Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shopdetermines that of 240 customers, 18 customers stated their preference for mint chocolate chip.Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice hasincreased at a 5% level of significance.P-value:Round your answer to four decimal places as necessary.Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find theprobability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23would be a legitimate entry.