Statistics - COllege Level 1 a) What is the probability that two randomly select

Question

Statistics - COllege Level 1

a) What is the probability that two randomly selected people over the age of 24 are college graduates given they are females?

b) What is the probability that two randomly selected people over the age of 24 are both women?

c) Suppose four people over the age of 24 are randomly selected, what is the probability that at least one will be a college graduate?

d) Suppose three people over the age of 24 are randomly selected, what is the probability that at least one will not complete high school?

Question 6 The following table gives the number (in millions) of men and women over the age of 24 at each level of highest educational attainment. (Source: U.S. Department of Commerce, Census Bureau, Current Population Survey Data on Educational Attainment, 2010.) Did not College complete high Completed Gender school high school Some college graduate Total 12.9 368 Males 15.9 96.3 30.7 12.8 41.3 103.7 Females 31.8 17.8 Total 25.7 200.0 62.5 33.7 78

Explanation / Answer

a) probability that two randomly selected people over the age of 24 are college graduates given they are females

=(41.3/103.7)*(41.3/103.7)=0.1586

b) probability that two randomly selected people over the age of 24 are both women =(103.7/200)*(103.7/200)

=0.2688

c)probability that at least one will be a college graduate =1-P(none will be a college graduate)

=((200-78.1)/200)4 =1-0.138 =0.862

d)probability that at least one will not complete high school =1-P(all college grads)=1-(78.1/200)3 =1-0.0595=0.9405

Gender did not completed Completed Some college College Grad. Total male 12.9 30.7 15.9 36.8 96.3 female 12.8 31.8 17.8 41.3 103.7 Total 25.7 62.5 33.7 78.1 200

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