Question

1. (a) Use the following data of 100 CEOs and their area of specialty selected from...

1. (a) Use the following data of 100 CEOs and their area of specialty selected from the various companies in the United States:

Accountant

Financial Analyst

Marketing Analyst

Male

30

26

5

Female

17

20

2

(i) (3 points) If we randomly select a CEO, what is the probability of getting an accountant, given that a male was selected?

(ii) (3 points) If we randomly select a CEO, what is the probability of getting a female, given that a marketing analyst was selected?

(b) A couple has three children. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. Find the probability that the couple will have

(i) few than three boys

(ii) at most two boys

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