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a) Identify the random variable X and list the elements of the random variable X in a set notation. b) Construct the probability distribution. c) Is this a fair game? Why or why not? show your work.

a) Identify the random variable X and list the elements of the random variable X in a set notation. b) Construct the probability distribution. c) Is this a fair game? Why or why not? show your work.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Consider a simple game in which you roll a single die (numbered from 1 to 6 on their faces). If you roll a number less than 5, you lose three times the face value of the die. If you roll a 5, you gain nothing and you lose nothing, if you roll a 6, you gain points equal to five times the face value of the die. a) Identify the random variable X and list the elements of the random variable X in a set notation. b) Construct the probability distribution. c) Is this a fair game? Why or why not? show your work.
Transcribed Image Text:Consider a simple game in which you roll a single die (numbered from 1 to 6 on their faces). If you roll a number less than 5, you lose three times the face value of the die. If you roll a 5, you gain nothing and you lose nothing, if you roll a 6, you gain points equal to five times the face value of the die. a) Identify the random variable X and list the elements of the random variable X in a set notation. b) Construct the probability distribution. c) Is this a fair game? Why or why not? show your work.
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