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.
(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.
Yes. Assign outcome C to "success" and
outcomes A and B to
"failure.
"Yes. Assign outcome A to "success" and
outcomes B and C to
"failure."
No. A binomial probability model applies to only two outcomes
per trial.
Yes. Assign outcome B to "success" and
outcomes A and C to
"failure."
What is the probability of success on each trial?