Question 2 In a management trainee program at a particular company, 68 percent of the trainees are female and 32 percent male. 73 percent of the females had attended university, and 82 percent of the males had attended university. a) Find the probability that a management trainee selected at random is a female who did not attend university. Given that a management trainee did not attend university, find the probability she is a female. b) c) Are the events “female" and "attending university" mutually exclusive? Explain.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question 2
In a management trainee program at a particular company, 68 percent of the trainees
are female and 32 percent male. 73 percent of the females had attended university,
and 82 percent of the males had attended university.
a)
Find the probability that a management trainee selected at random is a female
who did not attend university.
Given that a management trainee did not attend university, find the probability
she is a female.
b)
c)
Are the events “female" and "attending university" mutually exclusive?
Explain.
Transcribed Image Text:Question 2 In a management trainee program at a particular company, 68 percent of the trainees are female and 32 percent male. 73 percent of the females had attended university, and 82 percent of the males had attended university. a) Find the probability that a management trainee selected at random is a female who did not attend university. Given that a management trainee did not attend university, find the probability she is a female. b) c) Are the events “female" and "attending university" mutually exclusive? Explain.
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