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A bag contains 12 gambling chips: 8 of these chips have a zero marked on them, the other 4 chips have a one marked on them. Another bag also contains 12 chips: 4 marked zero and 8 marked one. Players randomly select one chip from each bag and their score is the larger of the two numbers on the chips that they select. a) Present the probability distribution of the scores that could be achieved by a player in one game. b) Compute the mean (μx) and standard deviation (σx) of this distribution. c) Present the sampling distribution of the total score that a player could achieve in three games, assuming chips are returned to their bags after each game. d) Present the sampling distribution of the mean score that could be achieved by a player in three games, assuming chips are returned to their bags after each game. e) Compute the mean ( μx ) and standard deviation ( σx ) of the sampling distribution in part D. Confirm that μ = μ that σ = σx . n €€ xxx f) What is the mean and standard deviation of the sampling distribution of the mean score that coul€d be achieved by a player in 35 games?

A bag contains 12 gambling chips: 8 of these chips have a zero marked on them, the other 4 chips have a one marked on them. Another bag also contains 12 chips: 4 marked zero and 8 marked one. Players randomly select one chip from each bag and their score is the larger of the two numbers on the chips that they select. a) Present the probability distribution of the scores that could be achieved by a player in one game. b) Compute the mean (μx) and standard deviation (σx) of this distribution. c) Present the sampling distribution of the total score that a player could achieve in three games, assuming chips are returned to their bags after each game. d) Present the sampling distribution of the mean score that could be achieved by a player in three games, assuming chips are returned to their bags after each game. e) Compute the mean ( μx ) and standard deviation ( σx ) of the sampling distribution in part D. Confirm that μ = μ that σ = σx . n €€ xxx f) What is the mean and standard deviation of the sampling distribution of the mean score that coul€d be achieved by a player in 35 games?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. A bag contains 12 gambling chips: 8 of these chips have a zero marked on them, the other 4 chips have a one marked on them. Another bag also contains 12 chips: 4 marked zero and 8 marked one. Players randomly select one chip from each bag and their score is the larger of the two numbers on the chips that they select. a) Present the probability distribution of the scores that could be achieved by a player in one game. b) Compute the mean (μx) and standard deviation (σx) of this distribution. c) Present the sampling distribution of the total score that a player could achieve in three games, assuming chips are returned to their bags after each game. d) Present the sampling distribution of the mean score that could be achieved by a player in three games, assuming chips are returned to their bags after each game. e) Compute the mean ( μx ) and standard deviation ( σx ) of the sampling distribution in part D. Confirm that μ = μ that σ = σx . n €€ xxx f) What is the mean and standard deviation of the sampling distribution of the mean score that coul€d be achieved by a player in 35 games? 1.b) μx = .78, σx = .414 e) μx = .78, σx = .239 f) μx = .78, σx = .07
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