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Three drugs are being tested for use as the treatment of a
Chapter 5, Problem 15E(choose chapter or problem)
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.
Questions & Answers
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: