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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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