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 0.30; the probability of outcome B is 0.40; and the probability of outcome C is 0.30. Suppose there are 10 trials.

Question

Mathematics

Orion Davidson

5 April, 04:02

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 0.30; the probability of outcome B is 0.40; and the probability of outcome C is 0.30. Suppose there are 10 trials.

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Answers (1)

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Penelope Gregory · Answer 1

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.

The answer is

No. A binomial probability model applies to only two outcomes per trial.

(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.

Yes. Assign outcome A to "success" and outcomes B and C to "failure."

So now they are asking me

What is the probability of success on each trial?