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A poll was taken of 11,985 working adults aged 40-70 to determine their level of education. The participants were classified by generation and by level

A poll was taken of 11,985 working adults aged 40-70 to determine their level of education. The participants were classified by generation and by level of education. The results are shown below.

Education Level Gen X Gen Y Total
High School or Less 3799 2087 5886
Bachelor's Degree 2950 2062 5012
Master's Degree 406 557 963
Ph.D. 61 63 124
Total 7216 4769 11,985

A person is selected at random. Compute the following probabilities. (a) What is the probability that the selected person is Gen X, given that they have a Master's degree? (b) What is the probability that the selected person does not have a Master's degree, given that they are Gen X? (c) What is the probability that the selected person is Gen Y, given that the person has a Bachelor's degree? (d) What is the probability that the selected person has a Ph.D., given that they are Gen Y?

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