Three drugs are being tested for use as the treatment of a

Chapter 5, Problem 15E

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QUESTION:

Problem 15E

Three drugs are being tested for use as the treatment of a certain disease. Let p1, p2, and p3 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, p1 = p2 = p3 = 0.7.

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QUESTION:

Problem 15E

Three drugs are being tested for use as the treatment of a certain disease. Let p1, p2, and p3 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, p1 = p2 = p3 = 0.7.

ANSWER:

Step 1 of 4

Given:  and  are independent

The number of successes within a finite population with a constant probability of success follows a binomial distribution.

Let

Complement rule:

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