Question 1150195: A poll was taken of 11,381 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.
Education Level Male Female Total
High School or Less 3276 2393 5669
Bachelor's Degree 2190 2422 4612
Master's Degree 588 395 983
Ph.D. 68 49 117
Total 6122 5259 11,381
A person is selected at random. Compute the following probabilities.
(a) What is the probability that the selected person is male, given that he has a Master's degree?
(b) What is the probability that the selected person does not have a Master's degree, given that he is male?
(c) What is the probability that the selected person is female, given that she has a Bachelor's degree?
(d) What is the probability that the selected person has a Ph.D., given that she is female?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Education Level Male Female Total
NG High School 3276 2393 5669
Bachelor 2190 2422 4612
Master's Degree 588 395 983
Ph.D. 68 49 117
Total 6122 5259 11,381
a.given male (6122), 588 have Master's degree for probability of 0.0960
b. this is the complement or (0.904)
c.given Bachelor (4612) probability female is 2422/4612 or 0.5252
d. given female, prob of Ph.D. is 49/5259 or 0.0093
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