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First, find the probability mass function f(x).

First, find the probability mass function f(x).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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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 28 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {- 1,0,14,28}. Let the probability mass function be f(x) = P(X = x) and the cumulative probability function be F(x) = P(X<x). Find f(11) and F(11). ... First, find the probability mass function f(x). f(x) = (Type an ordered pair. Use a comma to separate answers as needed.)
Transcribed Image Text: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 28 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {- 1,0,14,28}. Let the probability mass function be f(x) = P(X = x) and the cumulative probability function be F(x) = P(X<x). Find f(11) and F(11). ... First, find the probability mass function f(x). f(x) = (Type an ordered pair. Use a comma to separate answers as needed.)
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