A couple wishes to have children until they have exactly two female children in their family. a. Write the probability distribution of X, the number of male children before two female children. b. What is the probability that the family has four children? c. What is the probability that the family has at most four children? d. Determine the expected number and variance of male children

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 5CC
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A couple wishes to have children until they have exactly two female children in their family.
a. Write the probability distribution of X, the number of male children before two female children.
b. What is the probability that the family has four children?
c. What is the probability that the family has at most four children?
d. Determine the expected number and variance of male children

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