Let E and F be the events that a family of n children has

Chapter 10, Problem 27E

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QUESTION:

Problem 27E

Let E and F be the events that a family of n children has children of both sexes and has at most one boy, respectively. Are E and F independent if

a) n = 2?

b) n = 4?

c) n = 5?

Questions & Answers

QUESTION:

Problem 27E

Let E and F be the events that a family of n children has children of both sexes and has at most one boy, respectively. Are E and F independent if

a) n = 2?

b) n = 4?

c) n = 5?

ANSWER:

Step 1 of 4

In each case we need to compute , , and . Then we need to compute ,  to .if they are equal, then by definition the events are independent, and otherwise they are not. We assume that boys and girls are equally likely, and that successive births are independent.

                         

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