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 and takes 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 30 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {-1,0,15,30). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x) = P(X ≤x). Find f(9) and F(9). ... First, find the probability mass function f(x). f(x) = 0 (Type an ordered pair. Use a comma to separate answers as needed.) Now find f(9). f(9) = (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 and takes 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 30 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {-1,0,15,30). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x) = P(X ≤x). Find f(9) and F(9). ... First, find the probability mass function f(x). f(x) = 0 (Type an ordered pair. Use a comma to separate answers as needed.) Now find f(9). f(9) = (Simplify your answer.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
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