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, $\mathrm{n}$. Seven cards are selected from a standard 52-card deck without replacement. The number of tens selected is recorded. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. Yes, because the experiment satisfies all the criteria for a binomial experiment, $n=$ B. No, because there are more than two mutually exclusive outcomes for each trial. C. No, because the trials of the experiment are not independent since the probability of success differs from trial to trial. D. No, because the experiment is not performed a fixed number of times.

Solution

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, \(n\). Seven cards are selected from a standard 52-card deck without replacement. The number of tens selected is recorded.

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 there are more than two mutually exclusive outcomes for each trial.

Step 5 :C. No, because the trials of the experiment are not independent since the probability of success differs from trial to trial.

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

Step 7 :Final Answer: \(\boxed{\text{The correct choice is C. No, because the trials of the experiment are not independent since the probability of success differs from trial to trial.}}\)

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Source: https://solvelyapp.com/problems/V39c71ObaO/

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