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 32 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is (-1,0,16,32). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x)= P(Xsx). Find f(19) and F(19). 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(19). f(19) = (Simpify your answer.) Find the cumulative probability function F(x) = P(Xsx). Choose the correct answer below. OA. O B. Oc. OD. 025 -180 Ox-1 FO0 05 0sx16 0.75 165x 32 Fo t-1SXS32 o 32x 025 -15x