In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice? Check each of the requirements of a binomial experiment and give the values of n, r,and p. Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/5Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 2, r = 5, p = 1/6    Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6No. The five trials are independent, but have more than two outcomes.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice? Check each of the requirements of a binomial experiment and give the values of nr,and p.

Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/5Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 2, r = 5, p = 1/6    Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6No. The five trials are independent, but have more than two outcomes.
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