Three balls are selected simultaneously and randomly from a box. But assume that the box contains 8 red balls and 5 green balls. Also assume that each red ball selected pays $0.30, that each green ball selected pays $0.70, and that it costs $1.30 to play the game. A random variable X is defined to be the net payoff for a player. How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 49E
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Three balls are selected simultaneously and randomly from a box. But assume that the box contains 8 red balls and 5 green balls. Also assume that each red ball selected pays $0.30, that each green ball selected pays $0.70, and that it costs $1.30 to play the game. A random variable X is defined to be the net payoff for a player. How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.
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