Here are the projected numbers (in thousands) of earned degrees in a certain cou
ID: 3260396 • Letter: H
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.)
Explanation / Answer
Answer:
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
Total
Female
931
405
55
29
1420
Male
662
250
42
29
983
Total
1593
655
97
58
2403
Use these data to answer the following questions.
P =983/2403
=0.4091
(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.)
P =662/983
=0.6734
Let A: bachelor's degree and B: Male
Multiplication rule: P(A and B) = P( A)*P( A/B)
= 0.4091*0.6734
=0.2755
This probability directly from the table, P= 662/2403 =0.2755
Bachelor's
Master's
Professional
Doctorate
Total
Female
931
405
55
29
1420
Male
662
250
42
29
983
Total
1593
655
97
58
2403
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