There are four people being considered for the position of chief executive offic

Question

There are four people being considered for the position of chief executive officer of Dalton Enterprises. Three of the applicants are over 60 years of age. Two are female, of which only one is over 60.

What is the probability that a candidate is over 60 and female? (Round your answer to 2 decimal places.)

Given that the candidate is male, what is the probability he is less than 60? (Leave no cell blank, be certain to "0" when ever required.)

Given that the person is over 60, what is the probability the person is female? (Round your answer to 3 decimal places.)

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What is the probability that a candidate is over 60 and female? (Round your answer to 2 decimal places.)

Explanation / Answer

(a) P(over 60 and female) = 1/4 =0.25

(b) P(less than 60|male) = P(less than 60 and male)/P(male) =0

(c) P(female|over 60) = P(female and ove 60)/(over 60) =1/3 = 0.333

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