3. According to a Work Forceagency, the average workweek for an adult in July 2020 was 35.2 hours with a standard deviation for the number of hours worked per week is 12.5 hours. Assuming the number of hours worked per week is normally distributed.

a. What is the probability that the sample average workweek for 20 adults in July 2020 is less than 30 hours?

b. What is the probability that the sample average workweek for 20 adults in July 2020 is more than 32 hours?

c. Would it be reasonable to assume that the distribution of the workweek for an adult in July 2020 is normal?

d. Would it be reasonable to assume that the distribution of sample mean for 20 adults in July 2020 is roughly normal?