Question

determine if the following probability experiment represents a binomial experiment. if not, explain why. if the probability experiment is a binomial experiment, state the number of trials, n, and probability of success, p
a soccer player who makes 21% of his free kicks is asked to kick free kicks until he misses. the number of free kicks attempted is recorded
select the correct choice below and, if necessary, fill in the answer boxes to complete your answer
oa. yes, because the experiment satisfies all the criteria for a binomial experiment, n = and p = (type integers or decimals. do not round.)
ob. no, because there are more than two mutually exclusive outcomes for each trial
oc. no, because the trials of the experiment are not independent since the probability of success differs from trial to trial
od. no, because the experiment is not performed a fixed number of times

Explanation:

A binomial experiment has a fixed number of trials \(n\). In this case, the experiment is "asked to kick free kicks until he misses". The number of trials is not fixed (it could be 1, 2, 3, etc.). So it does not meet the binomial experiment criteria.

Answer:

D. No, because the experiment is not performed a fixed number of times.