A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or D. Players compete for a pot of tokens. A player spins the top an- Cakes one of the following actions, depending on which letter faces up. If A faces up, the player neither adds nor subtracts tokens from the pot. - If B faces up, the player wins the entire pot of tokens. If C faces up, the player wins half of the tokens in the pot, rounding up if the number is odd. If D faces up, the player adds a token to the pot. Assume that each face of the top is equally likely to face upward and that the pot holds 26 tokens. Let the random variable X be the amount of tokens won by a layer. Thus, the range of X is {-1,0,13,26). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x)=P(X ≤x). Find f(1) nd F(1). irst, find the probability mass function f(x). ype an ordered pair. Use a comma to separate answers as needed.) Ow find f(1). () = (Simplify your answer.)

A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or D. Players compete for a pot of tokens. A player spins the top an- Cakes one of the following actions, depending on which letter faces up. If A faces up, the player neither adds nor subtracts tokens from the pot. - If B faces up, the player wins the entire pot of tokens. If C faces up, the player wins half of the tokens in the pot, rounding up if the number is odd. If D faces up, the player adds a token to the pot. Assume that each face of the top is equally likely to face upward and that the pot holds 26 tokens. Let the random variable X be the amount of tokens won by a layer. Thus, the range of X is {-1,0,13,26). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x)=P(X ≤x). Find f(1) nd F(1). irst, find the probability mass function f(x). ype an ordered pair. Use a comma to separate answers as needed.) Ow find f(1). () = (Simplify your answer.)

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.FOM: Focus On Modeling: The Monte Carlo Method

Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...

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