Question 1050939: A poll was taken of 10,882 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 2412 2141 4553
Bachelor's Degree 2794 2781 5575
Master's Degree 324 326 650
Ph.D. 51 53 104
Total 5581 5301 10,882
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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A poll was taken of 10,882 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 2412 2141 4553
Bachelor's Degree 2794 2781 5575
Master's Degree. 324 326 650
Ph.D............ 51 53 104
Total........... 5581 5301 10,882
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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?
P(male | Masters) = P(male AND Masters)/P(Masters) = 324/650
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(b) What is the probability that the selected person does not have a Master's degree, given that he is male?:: (5581-324)/5581
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(c) What is the probability that the selected person is female, given that she has a Bachelor's degree?::
2781/5575
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(d) What is the probability that the selected person has a Ph.D., given that she is female? :: 53/5301
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Cheers,
Stan H.
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