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1. The following table gives the number (in millions) of men and women over the

ID: 3170860 • Letter: 1

Question

1. The following table gives the number (in millions) of men and women over the age of 24 at each level of educational attainment (Source: US Department of Commerce, Census Bureau, Current Population)

Did not complete High school

a.What is the probability that a randomly selected person over the age of 24 either completed high school only, or they finished some college?

b.What is the probability that a randomly selected person over the age of 24 is not a College Graduate?

c. What is the probability that a randomly selected person over the age of 24 is a college graduate given that the individual is male?

Gender

Did not complete High school

completed high school some college college graduate TOTAL males 12.9 30.7 15.9 36.8 96.3 females 12.8 31.8 17.8 41.3 103.7 TOTAL 25.7 62.5 33.7 78.1 200.0

Explanation / Answer

a. P(either completed high school only, or they finished some college) = P(completed high school only) +P(finished some college)=(62.5+33.7)/200=48.1%

b. P(not a college grad)= 1-78.1/200=60.95%

c. P( college graduate given that the individual is male)= P(college graduate and is male)/P(male)

=36.8/96.3=38.21%