Question

According to recent figures from the National of Educational Statistics (US), 17.5% of all bachelor’s degrees are in business. 27% of bachelor’s degrees in business are obtained by women and 48.75% of other degrees are obtained by men.

a. Complete the table.

b. What is the probability that a randomly selected recent bachelor’s degree graduate will be a man?

c. What is the probability that a randomly selected recent bachelor’s degree graduate will be a man with a degree in business?

(d) What is the probability that a randomly selected female recent bachelor’s degree graduate will have a degree in business?

Answer 1

a) Table (values are given as decimals, not in percentages)

Bachelor's degree	Man	Woman	Total
Business degree	0.73x0.175 = 0.1278	0.27x0.175 = 0.0472	0.175
Other degree	0.4875x0.175 = 0.4022	0.825-0.4022 = 0.4228	1 - 0.175 = 0.825
Total	0.53	0.47	1

b) P(a randomly selected recent bachelor’s degree graduate will be a man) = 0.53

c) P(a randomly selected recent bachelor’s degree graduate will be a man with a degree in business) = 0.1278

d) P(a randomly selected female recent bachelor’s degree graduate will have a degree in business) = P(business degree and female) / P(female)

= 0.0472/0.47

= 0.10