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

Question

7. 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 0.4; the probability of outcome B is 0.5; and the probability of outcome C is 0.1. 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

a)

For a binomial distribution it is must that trial must have only two possible outcomes generally known as success and failure.

Since in this case we have more than two outcomes so we cannot use binomial distribution.

b)

Yes here we can use binomial distribution.

The probability of success will be equal to probability of event A so p = 0.4

And number of trials is n=10

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