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3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice. The player withe the highest result is the winner of that round (there could also be a tie). Each of the following quantities is a binomial distribution; give its parameters and expected value. (a) The number of sixes rolled (by both players). (b) The number of times that Alice rolls an odd number. (c) The number of times that which Alice and Bob tie. (d) The number of rounds in which Bob wins.

3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice. The player withe the highest result is the winner of that round (there could also be a tie). Each of the following quantities is a binomial distribution; give its parameters and expected value. (a) The number of sixes rolled (by both players). (b) The number of times that Alice rolls an odd number. (c) The number of times that which Alice and Bob tie. (d) The number of rounds in which Bob wins.

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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3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice. The player withe the highest result is the winner of that round (there could also be a tie). Each of the following quantities is a binomial distribution; give its parameters and expected value. (a) The number of sixes rolled (by both players). (b) The number of times that Alice rolls an odd number. (c) The number of times that which Alice and Bob tie. (d) The number of rounds in which Bob wins.
Transcribed Image Text:3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice. The player withe the highest result is the winner of that round (there could also be a tie). Each of the following quantities is a binomial distribution; give its parameters and expected value. (a) The number of sixes rolled (by both players). (b) The number of times that Alice rolls an odd number. (c) The number of times that which Alice and Bob tie. (d) The number of rounds in which Bob wins.
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