# Question

Female business majors: At a certain university, the probability that a randomly chosen student is female is 0.55, the probability that the student is a business major is 0.20, and the probability that the student is female and a business major is 0.15.

a. What is the probability that the student is female or a business major?

b. What is the probability that the student is female given that the student is a business major?

c. What is the probability that the student is a business major given that the student is female?

d. Are the events ‘‘female’’ and ‘‘business major’’ independent? Explain.

e. Are the events ‘‘female’’ and ‘‘business major’’ mutually exclusive? Explain.

a. What is the probability that the student is female or a business major?

b. What is the probability that the student is female given that the student is a business major?

c. What is the probability that the student is a business major given that the student is female?

d. Are the events ‘‘female’’ and ‘‘business major’’ independent? Explain.

e. Are the events ‘‘female’’ and ‘‘business major’’ mutually exclusive? Explain.

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