Question

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. A soccer player who makes 25​% of his free kicks is asked to kick free kicks until hehe missesmisses. The number of free kicks 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 experiment is not performed a fixed number of times. C. Yes, because me experiment satisfies all the criteria for a binomial experiment D No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Answer 1

Answer:

It is not a binomial distribution. Option B (the experiment is not performed a fixed number of times)

Step-by-step explanation:

A binomial distribution is defined by two values n and p (X~ B(n,p)). If you cannot specify in advance what n is, then you cannot calculate the probability of X having a specific value