Solution Found!
Let E and F be the events that a family of n children has
Chapter 10, Problem 27E(choose chapter or problem)
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.