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. a. What is the probability that a candidate is over 60 and female? (Round your answer to 2 decimal places.) Probability b. Given that the candidate is male, what is the probability he is less than 60 (Leave no cell blank, be certain to "O" when ever required.) Probability c. Given that the person is over 60, what is the probability the person is female? (Round your answer to 3 decimal places.) Probability

Explanation / Answer

It is given that one is female and over 60 years old. other one is female and under 60 years old. there are two males (because it is given that only 2 are females). thus both males are over 60 years old (because 3 applicants are over 60)

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

b) P(less than 60 | male)=0 (since there are no males below 60)

c) P(female | over 60)=P(female and over 60)/P(over 60)= 1/3 or 0.33

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