a. A fair die is rolled 500 times. Find the probability that a number 2 or less comes up on at most 150 rolls.
b. The scores on a psychological prole test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10.
i. What score is required for an applicant to be in the top 10%?
ii.Suppose a random sample of 16 applicants is selected, nd the probability that the sample mean score is above 70.