Answered: Suppose

Math

Probability

Suppose

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose that P(male birth) = 0:55. A couple wishes to have exactly two female children in
their family. They will keep having children until this condition is fulfilled. What is the probability that
the family has five children?

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Expert Solution

Step 1

Given that the probability of male birth is 0.55 then the probability of female birth is 1-0.55 = 0.45

Number of success = 2 ( they want exactly 2 female children)

And X=5

Then X~ Negative binomial (x,r=2, p=0.45)

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