Find his expected amount of winning.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Let X and Y are two independent random vari-
ables. If E(X) = 0 and E(Y) = 0. Prove that Var(XY)
= Var(X) Var(Y). A player tosses 3 coins. He wins
{ 16, if 3 heads appear, 7 8 if 2 heads appear, 7
4 if 1 head appears and 2 if no head appears.
Find his expected amount of winning.
%3D
Transcribed Image Text:Let X and Y are two independent random vari- ables. If E(X) = 0 and E(Y) = 0. Prove that Var(XY) = Var(X) Var(Y). A player tosses 3 coins. He wins { 16, if 3 heads appear, 7 8 if 2 heads appear, 7 4 if 1 head appears and 2 if no head appears. Find his expected amount of winning. %3D
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