Three drugs are being tested for use as the treatment of a certain disease. Let p1, p2

Chapter 5, Problem 5.3-15

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QUESTION:

Three drugs are being tested for use as the treatment of a certain disease. Let \(p_{1}, p_{2}\), and \(p_{3}\) represent the probabilities of success for the respective drugs. As three patients come in, each is given one of the drugs in a random order. After n = 10 “triples” and assuming independence, compute the probability that the maximum number of successes with one of the drugs exceeds eight if, in fact, \(p_{1}=p_{2}=p_{3}=0.7\).

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QUESTION:

Three drugs are being tested for use as the treatment of a certain disease. Let \(p_{1}, p_{2}\), and \(p_{3}\) represent the probabilities of success for the respective drugs. As three patients come in, each is given one of the drugs in a random order. After n = 10 “triples” and assuming independence, compute the probability that the maximum number of successes with one of the drugs exceeds eight if, in fact, \(p_{1}=p_{2}=p_{3}=0.7\).

ANSWER:

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In the problem it is given that three drugs are being tested for use as the treatment of a certain disease. Let \(p_{1}, p_{2}\), and \(p_{3}\) represent the probabilities of success for the respective drugs. As three patients come in, each is given one of the drugs in a random order. After n = 10 "triples" and assuming independence.

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