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

Question

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 ≤x). 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.
A.
B.
OC.
0.25 -1<x<0
F(x)= 0.5 0<x<14
0.75 14<x<27
BEKI
0 x < -1
F(x)= 1-1≤x≤27
0 27<x
0
x < -1
0.25 -1<x<0
F(x)= 0.5 0<x< 14
0.75 14≤x<27
1
27 ≤x
O D.
F(x)=
x < -1
0.251sx<0
0
0.75 0<x<27
1
27 ≤x

Kunduz · Accepted Answer

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