Question
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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