Explanation Given: The number of children in the family is denoted by X . The total number of children in the family is denoted by Y . Calculation: The value of E ( X ) is computed as: E ( X ) = ∑ i = 1 r i n i m = ∑ i = 1 r i n i ∑ i = 1 r n i And, E ( Y ) = ∑ i = 1 r i 2 n i ∑ i = 1 r i n i

9th Edition

ISBN: 9780321794772

Author: Sheldon Ross

Publisher: PEARSON

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 4, Problem 4.4STPE

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To show: E(Y)≥E(X)

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Chapter 4 Solutions

A First Course in Probability

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E ( Y ) ≥ E ( X )

Solution Summary: The author compares the value of E(X) with the number of children in the family.

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