Here are the projected numbers (in thousands) of earned degrees in a certain cou

Question

Here are the projected numbers (in thousands) of earned degrees in a certain country during one academic year, classified by level and by the sex of the degree recipient:

Bachelor's Master's Professional Doctorate

Female 935 404 55 29

Male 662 270 42 29

Use these data to answer the following questions.

a) What is the probability that a randomly chosen degree recipient is a man? (Round your answer to four decimal places)

b) What is the conditional probability that the person chosen received a bachelor's degree, gien that he is a man? (Round to 4 decimal places)

c) Use the multiplication rule to find the probability of choosing a male bachelor's degree recipient. Check your result by finding this probability directly from the table of counts (Round to four decimal places).

Explanation / Answer

from above

a) probability that a randomly chosen degree recipient is a man =1003/2426=0.4134

b)conditional probability that the person chosen received a bachelor's degree, gien that he is a man=270/1003

=0.2692

c)probability of choosing a male bachelor's degree recipient =(674/2426)*(270/674)=270/2426=0.1113

Doctorate Bachelor Master Professional Total female 935 404 55 29 1423 male 662 270 42 29 1003 total 1597 674 97 58 2426

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