A poll was taken of 15,307 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 3422 3326 6748 Bachelor's Degree 3494 3928 7422 Master's Degree 510 532 1042 Ph.D. 42 53 95 Total 7468 7839 15,307 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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