The random variable X is the number of girls of four children born to a couple that is equally likely to have either a boy or a girl. Its probability distribution is as follows: x01234P(X=x)0.06250.25000.37500.25000.0625(a) µ = E(X) = (Round your answer to one decimal place) (b) σ(X) = (Round your answer to one decimal place) c) Among all families with four children, what is the average number of boys?(Round your answer to one decimal place)

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Answered: The random variable X is the number of…

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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The random variable X is the number of girls of four children born to a couple that is equally likely to have either a boy or a girl. Its probability distribution is as follows:

x	0	1	2	3	4
P(X=x)	0.0625	0.2500	0.3750	0.2500	0.0625

(a) µ = E(X) = (Round your answer to one decimal place)

(b) σ(X) = (Round your answer to one decimal place)

c) Among all families with four children, what is the average number of boys?

(Round your answer to one decimal place)

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