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A poll was taken of 11, 407 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by

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A poll was taken of 11, 407 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 2453 2230 4683 Bachelor's Degree 2351 3263 5614 Master's Degree 577 409 986 Ph.D. 68 56 124 Total 5449 5958 11, 407 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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