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Business, 03.03.2021 16:40 oVcper

A poll was taken of 12,373 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 3116 2256 5372
Bachelor's Degree 2835 2979 5814
Master's Degree 572 508 1080
Ph. D. 60 47 107
Total 6583 5790 12,373

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?

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