Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly three boys in ten births.
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly three boys in ten births.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume that male and female births are equally likely and that the birth of any child does not affect the
Expert Solution
Step 1
Given that
n=10 , p=1/2=0.5 , q=1-p=1-0.5=0.5
X~Binomial(n=10,p=0.5)
p= probability of boy birth
X=Number of boy birth
Probability mass function of X is
P(X=x)=nCxpxqn-x , x=0,1,2,3
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