1. Let X be normally distributed random variable with = 100 and = 10. Find the

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.)