In an experiment, there are n independent trials. For each trial, there are thre

Question

In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is .4; the probability of outcome B is .5; and the probability of outcome C is .1. Suppose there are 10 trials. a. Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. b. Can we use the binomial experiment model to determine the probability of four outcomes of type A and six outcomes that are not of type A? Explain. What is the probability of success on each trial?

Explanation / Answer

b) Yes we can use the binomial experiment model to determine the probability of four outcomes of type A and six outcomes that are not of type A (That means they are from either type B or type C)

The outcomes from type A isconsidered as success and p = 0.40

The outcomes not from type A (they are from either type B or type C) is considered as failure and q = 1-p = 0.6

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