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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
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 27 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {-1,0,14,27). Let the probability mass function be f(x) = P(X = x) and the cumulative probability function be F(x) = P(X sx). Find f(0) and F(0). First, find the probability mass function f(x). f(x) = (Type an ordered pair. Use a comma to separate answers as needed.) Now find f(0). f(0) = (Simplify your answer.) Find the cumulative probability function F(x) = P(X x). Choose the correct answer below. OA. 0.25 -1sx
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