answer all questions with explanation

5.3 Question 9 of 11 (1 point | Question Attempt. 1 of Unlimited - 1 v 2 v 3 4 v 5 7 6 7 8 10 11 Management: The Bureau of Labor Statistics reported that 64.7 million women and 74.7 million men were employed. Of the women, 25.6 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