Your friend creates a dice-rolling game and challenges you to play it.  In this game, you roll a fair six-sided die and the outcome of the die causes you to either win or lose money. You win $4 if the die comes up a 4 Nothing happens if a 6 comes up You lose $1 for any other roll Let X represent your winnings from a single game.  What is , the expected value (mean) of the random variable X? A. $.25 B. $3 C. $0 D. -$4

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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Your friend creates a dice-rolling game and challenges you to play it.  In this game, you roll a fair six-sided die and the outcome of the die causes you to either win or lose money.

  • You win $4 if the die comes up a 4
  • Nothing happens if a 6 comes up
  • You lose $1 for any other roll

Let X represent your winnings from a single game.  What is , the expected value (mean) of the random variable X?

A. $.25

B. $3

C. $0

D. -$4

 

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