Your friend creates a dice-rolling game and challenges you to play it. In this game, you roll a fair 6-sided die and the outcome of the die causes you to either win or lose money. •you win $5 if the die comes up a 5 •you win $6 if the die comes up a 6 •you lose $2 for any other roll. Let X represent your winnings from a single game. What is the mean of the random variable X, rounded to the nearest penny?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Your friend creates a dice-rolling game and challenges you to play it. In this game, you roll a fair 6-sided die and the outcome of the die causes you to either win or lose money. •you win $5 if the die comes up a 5 •you win $6 if the die comes up a 6 •you lose $2 for any other roll. Let X represent your winnings from a single game. What is the mean of the random variable X, rounded to the nearest penny?
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