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:

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, given that he is a man? (Round your answer to four 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 your answer to four decimal places.)

Bachelor's Master's Professional Doctorate Female 933 402 51 26 Male 662 260 44 26

Explanation / Answer

from above

a)   probability that a randomly chosen degree recipient is a man=992/2404=0.4126

b)conditional probability that the person chosen received a bachelor's degree, given that he is a man=662/992

=0.6673

c)probability of choosing a male bachelor's degree recipient=(992/2404)*(662/992)=0.2754

Bachelor's Master's Professional Doctorate total Female 933 402 51 26 1412 Male 662 260 44 26 992 Total 1595 662 95 52 2404

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