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 0.20; the probability of outcome B is 0.70; and the probability of outcome C is 0.10. 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. No. A binomial probability model applies to only one outcome per trial. Yes. Each outcome has a probability of success and failure. No. A binomial probability model applies to only two outcomes per trial. Yes. A binomial probability model applies to three 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. No. A binomial probability model applies to only two outcomes per trial. Yes. Assign outcome A to "success" and outcomes B and C to "failure." Yes. Assign outcome C to "success" and outcomes A and B to "failure." Yes. Assign outcome B to "success" and outcomes A and C to "failure." What is the probability of success on each trial?

Answer 1

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

b)

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

probability of success on each trial =0.20