Question: Classifying occupations. Exercise 4.137 (page 280) gives the probability distribution of the gender and occupation of a randomly chosen American worker. Use this distribution to

Classifying occupations. Exercise 4.137 (page 280) gives the probability distribution of the gender and occupation of a randomly chosen American worker. Use this distribution to answer the following questions.

(a) Given that the worker chosen holds a managerial (Class A)

job, what is the conditional probability that the worker is female?

(b) Classes D and E include most mechanical and factory jobs.

What is the conditional probability that a worker is female, given that a worker holds a job in one of these classes?

(c) Are gender and job type independent? How do you know?

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