The player spins a spinner twice.        On each spin the player can get a 1 or a 4 ;   P(1) = .4  and  P(4) = .6.         The random variable X = the sum of the two spins.  If X is an even number the       player wins that many dollars ($2 or $8).  If X is an odd number the player loses       that many dollars ( $5). What is the expected value of this game to the player?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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The player spins a spinner twice. 

      On each spin the player can get a 1 or a 4 ;   P(1) = .4  and  P(4) = .6.  

      The random variable X = the sum of the two spins.  If X is an even number the

      player wins that many dollars ($2 or $8).  If X is an odd number the player loses

      that many dollars ( $5).

What is the expected value of this game to the player?

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