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A poll was taken of 13,944 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level

A poll was taken of 13,944 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 3193 3251 6444
Bachelor's Degree 2826 3697 6523
Master's Degree 312 575 887
Ph.D. 50 40 90
Total 6381 7563 13,944

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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