5.32 Labor force In 2014, a sample of 1925 Americans revealed that about 20.5% of them belong to the government sector. 7.5% of these are part-time employees, 60%

are full-time employees, and 32.5% are retired.

a. Define events and identify which of these four probabilities refer to conditional probabilities.

b. Find the probability that an American adult in this sample is a full-time government employee.