In a management trainee program at Claremont Enterprises, 80% of the trainees are women and 20% are men. Ninety percent of the women attended college, and 78% of the men attended college. a. A management trainee is selected at random. What is the probability that the person selected is a woman who did not attend college? b. Are gender and attending college independent? Why? c. Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities. d. Do the joint probabilities total 1.00? Why?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. In a management trainee program at Claremont Enterprises, 80% of the trainees are women and 20% are men. Ninety percent of the women attended college, and 78% of the men attended college.

a. A management trainee is selected at random. What is the probability that the person selected is a woman who did not attend college?

b. Are gender and attending college independent? Why?

c. Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities.

d. Do the joint probabilities total 1.00? Why?

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