Question

Consider the following table which presents the number of U.S. men and women (in millions) 25 years old and older who have attained various levels of education.

A person is selected at random.

a) What is the probability that the person is a man?
b) What is the probability that the person is a man with a Bachelor's degree?
c) What is the probability that the person has a Bachelor's degree, given that he is a man?

Answer 1

a) The probability that the person is a man is 45.42%. b) The probability that the person is a man with a Bachelor's degree is 12.96%. c) The probability that the person has a Bachelor's degree given that he is a man is 28.57%.

Step-by-step explanation:

a) To find the probability that the person is a man, we need to sum up the number of men and divide it by the total number of people. From the table, the number of men is 108.6 million and the total number of people is 239.2 million. So the probability that the person is a man is 108.6/239.2 = 0.4542, or 45.42%.

b) To find the probability that the person is a man with a Bachelor's degree, we need to divide the number of men with a Bachelor's degree by the total number of people. From the table, the number of men with a Bachelor's degree is 31 million. So the probability is 31/239.2 = 0.1296, or 12.96%.

c) To find the probability that the person has a Bachelor's degree given that he is a man, we need to divide the number of men with a Bachelor's degree by the total number of men. From the table, the number of men with a Bachelor's degree is 31 million, and the total number of men is 108.6 million. So the probability is 31/108.6 = 0.2857, or 28.57%.