An unfair coin is flipped. If a head turns​ up, you win​ $1. If a tail turns​ up, you lose​ $1. The probability of a head is .53 and the probability of a tail is .47. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the​ game?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 9CC: a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the...
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An unfair coin is flipped. If a head turns​ up, you win​ $1. If a tail turns​ up, you lose​ $1. The probability of a head is .53 and the probability of a tail is .47. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the​ game?

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An unfair coin is flipped. If a head turns​ up, you win​ $1. If a tail turns​ up, you lose​ $1. The probability of a head is 0.53 and the probability of a tail is 0.47.

Let ,  X be the random variable for the amount won on a single play of this game. 

  • Expected value of a random variable is defined as the product of values of random variable with weight as probability associated with value of random variable. 

                                  E(X)=xP(X=x)

 

 

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