There are 10 cards face down numbered 1-10. You pick at random one card. Your payoff is $0.50 if the number on the card is less than 5 and is the dollar value on the card otherwise.(Ex: if card is numbered 6 your payoff is $6). What is the expected value of your payoff?

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.CT: Chapter Test
Problem 15CT
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There are 10 cards face down numbered 1-10. You pick at random one card. Your payoff is $0.50 if the number on the card is less than 5 and is the dollar value on the card otherwise.(Ex: if card is numbered 6 your payoff is $6). What is the expected value of your payoff?

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