A pair of fair dice are thrown 10 times. This question will be about a binomial distribution. Some event will be a “success” with probability p. Then calculate the probability that e.g. k = 3 or k ≤ 2 or k > 0. (a) What is the probability that the sum of the two dice is greater than 8 in exactly 4 of the 10 throws? (b) What is the probability that the sum of the two dice is greater tha

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A pair of fair dice are thrown 10 times. This question will be about a binomial distribution. Some event will be a “success” with probability p. Then calculate the probability that e.g. k = 3 or k ≤ 2 or k > 0.

(a) What is the probability that the sum of the two dice is greater than 8 in exactly 4 of the 10 throws?

(b) What is the probability that the sum of the two dice is greater than 8 for at least 2 of the 10 throws?

(c) What is the expected number of times that the sum of the two dice is greater than 8?

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