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13. The average time it takes a group of adults to complete a certain achievement test is 42.6 minutes. The standard deviation is 8 minutes.

13.

The average time it takes a group of adults to complete a certain achievement test is 42.6 minutes. The standard deviation is 8 minutes. Assume the variable is normally distributed.Please show the following answers to 4 decimal places.

a) What is the probability that one randomly selected adult will complete the test in less than 40 minutes?

b) What is the probability that a sample of 50 adults will complete the test with an average time less than 40 minutes?

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