Determine whether the following probability experiment represents a binomial exp

Question

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. A hockey goalie who stops 90% of his shots is asked to make saves until he gives up a goal. The number of saves attempted is recorded. Does the probability experiment represent a binomial experiment? A) no, because There are more than two mutually exclusive outcomes for each trial B) No because the trials of the experiment are not independent and the probability of success differs from trial to trial C) No because the experiment is not performed a fixed number of times D) yes because the experiment satisfies all the criteria for a binomial experiment

Explanation / Answer

The answer will be option C :No because the experiment is not performed a fixed number of times.

The reason is the goal keeper is asked to make saves until he gives up a goal so here the number of trial is not fixed rather it depends on whether he goalkeeper saves or not.

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