1. Let X be normally distributed random variable with ? = 100 and ? = 10. Find the probability that X is between 75 and 100. (Round answer to the nearest whole number percent.)2. Let a random sample be taken of size n=36 from a population with known standard deviation of ? = 3. Suppose that the mean of the sample is x? = 37. The approximate 95% confidence interval for the mean, ?, of the population from which the sample was drawn. (Round the values to whole numbers for your confidence level.)

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