Management: The Bureau of Labor Statistics reported that 64.6 million women and 74.3 million men were employed. Of the women, 25.l million had management jobs, and of the men, 24.7 million had management jobs. An employed person is chosen at random. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) What is the probability that the person is a male? (b) What is the probability that the person has a management job? (c) What is the probability that the person is male and has a management job? (d) Given that the person is male, what is the probability that he has a management job? (e) Given that the person has a management job, what is the probability that the person is male?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 26E
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Management: The Bureau of Labor Statistics reported that 64.6 million women and 74.3 million men were employed. Of the
women, 25.l million had management jobs, and of the men, 24.7 million had management jobs. An employed person is chosen at
random. Write your answer as a fraction or a decimal, rounded to four decimal places.,
(a) What is the probability that the person is a male?
(b) What is the probability that the person has a management job?
(c) What is the probability that the person is male and has a management job?
(d) Given that the person is male, what is the probability that he has a management job?
(e) Given that the person has a management job, what is the probability that the person is male?
Transcribed Image Text:Management: The Bureau of Labor Statistics reported that 64.6 million women and 74.3 million men were employed. Of the women, 25.l million had management jobs, and of the men, 24.7 million had management jobs. An employed person is chosen at random. Write your answer as a fraction or a decimal, rounded to four decimal places., (a) What is the probability that the person is a male? (b) What is the probability that the person has a management job? (c) What is the probability that the person is male and has a management job? (d) Given that the person is male, what is the probability that he has a management job? (e) Given that the person has a management job, what is the probability that the person is male?
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