A poll was taken of 13,361 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 High School or Less Bachelor's Degree Master's Degree Ph.D. Total Male Female Total 2283 2957 5240 3787 3403 7190 435 361 796 65 70 135 6570 6791 13,361 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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A poll was taken of 13,361 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
2283
High School or Less
Bachelor's Degree
Master's Degree
2957
5240
3787
3403
7190
435
361
796
Ph.D.
65
70
135
Total
6570
6791
13,361
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?
Transcribed Image Text:A poll was taken of 13,361 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 2283 High School or Less Bachelor's Degree Master's Degree 2957 5240 3787 3403 7190 435 361 796 Ph.D. 65 70 135 Total 6570 6791 13,361 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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