The Bureau of Labor Statistics reported that 64.9  million women and  74.6  million men were employed. Of the women,  25.8 million had management jobs, and of the men, 25.3 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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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The Bureau of Labor Statistics reported that 64.9  million women and  74.6  million men were employed. Of the women,  25.8 million had management jobs, and of the men, 25.3 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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