Is it a lemon'? You are playing the new Lemon Game at Vegas. There are 3 windows in the slot machine. Window 1 displays only one of two choices: lemon or strawberry. Window 2 can display three choices: lemon, strawberry, or blueberry. Window 3 can display three choices: lemon, papaya, or cherry. Windows spin randomly and independent from each other. To win S1 you must have one lemon showing. To win $2, you must have two lemons, and to win the $5 jackpot, you must have all windows showing lemons.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Using a tree diagram, determine the sample space.

 

Determine the probability distribution. Let the random variable X represent the number of lemons displayed during one spin.

Calculate the mean and standard deviation of the distribution.

Is it a lemon'?
You are playing the new Lemon Game at Vegas. There are 3 windows in the slot machine.
Window 1 displays only one of two choices: lemon or strawberry. Window 2 can display three
choices: lemon, strawberry, or blueberry. Window 3 can display three choices: lemon, papaya, or
cherry. Windows spin randomly and independent from each other. To win S1 you must have one
lemon showing. To win $2, you must have two lemons, and to win the $5 jackpot, you must have
all windows showing lemons.
Transcribed Image Text:Is it a lemon'? You are playing the new Lemon Game at Vegas. There are 3 windows in the slot machine. Window 1 displays only one of two choices: lemon or strawberry. Window 2 can display three choices: lemon, strawberry, or blueberry. Window 3 can display three choices: lemon, papaya, or cherry. Windows spin randomly and independent from each other. To win S1 you must have one lemon showing. To win $2, you must have two lemons, and to win the $5 jackpot, you must have all windows showing lemons.
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