Problem

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, $n$ A random sample of 50 professional athletes is obtained, and the individuals selected are asked to state their hair length.

Select the correct choice below and, if necessary, fill in the answer box to complete your answer
A. Yes, because the expeniment safisfies all the criteria for a binomial experiment, $n=$
B. No, because the trals of the experiment are not independent since the probability of success differs from trial to trial
C. No, because there are more than two mutually exclusive outcomes for each tral
D. No, because the experiment is not performed a fixed number of times.

Answer

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Answer

Final Answer: \(\boxed{\text{C. No, because there are more than two mutually exclusive outcomes for each trial.}}\)

Steps

Step 1 :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, $n$. A random sample of 50 professional athletes is obtained, and the individuals selected are asked to state their hair length.

Step 2 :Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

Step 3 :A. Yes, because the experiment satisfies all the criteria for a binomial experiment, $n=$

Step 4 :B. No, because the trials of the experiment are not independent since the probability of success differs from trial to trial

Step 5 :C. No, because there are more than two mutually exclusive outcomes for each trial

Step 6 :D. No, because the experiment is not performed a fixed number of times.

Step 7 :Final Answer: \(\boxed{\text{C. No, because there are more than two mutually exclusive outcomes for each trial.}}\)

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