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 tho 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). fx) -O (Type an ordered pair. Use a comma to separate answors as needed.) Now find f(19). (19) - (Simplify your answer.) Find the cumulative probability function F(x) = P(Xsx). Choose the correct answer below. Oc. OA. OB. O D. 0.25 -10 0.25 -10 025 -1Sx0 0.75 16 32 0.76 0s32 P 0n 0 1 0.75 16S32 Now find F(19). F(19) - (Simplifly 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 tho 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). fx) -O (Type an ordered pair. Use a comma to separate answors as needed.) Now find f(19). (19) - (Simplify your answer.) Find the cumulative probability function F(x) = P(Xsx). Choose the correct answer below. Oc. OA. OB. O D. 0.25 -10 0.25 -10 025 -1Sx0 0.75 16 32 0.76 0s32 P 0n 0 1 0.75 16S32 Now find F(19). F(19) - (Simplifly 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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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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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 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).
1x) = O
(Type an ordered pair. Use a comma to separate answers as needed.)
Now find f(19).
f(19) = (Simplify your answer.)
Find the cumulative probability function F(x) = P(XSx). Choose the correct answer below.
OA.
O B.
OC.
O D.
0.25 -10
FO0 05 0SK16
Fo -1SXS32
0 32<x
025-18x<O
025-15x<O
0.76 0sx32
FO 05 Osx 10
075 16 32
0.75 16SX<32
Now find F(19).
F(19) = (Simplify your answer.)
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