Questions: Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. In a Pew Research Center survey of 100 subjects, the ages of the respondents are recorded. Choose the correct answer below. A. It is binomial or can be treated as binomial. B. It is not binomial because the probability of success does not remain the same in all trials. C. It is not binomial because there are more than two possible outcomes. D. It is not binomial because there are more than two possible outcomes and the trials are not independent.

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.

In a Pew Research Center survey of 100 subjects, the ages of the respondents are recorded.

Choose the correct answer below.
A. It is binomial or can be treated as binomial.
B. It is not binomial because the probability of success does not remain the same in all trials.
C. It is not binomial because there are more than two possible outcomes.
D. It is not binomial because there are more than two possible outcomes and the trials are not independent.
Transcript text: Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the $5 \%$ guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. In a Pew Research Center survey of 100 subjects, the ages of the respondents are recorded. Choose the correct answer below. A. It is binomial or can be treated as binomial. B. It is not binomial because the probability of success does not remain the same in all trials. C. It is not binomial because there are more than two possible outcomes. D. It is not binomial because there are more than two possible outcomes and the trials are not independent.
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Solution

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Solution Steps

Step 1: Check for Two Possible Outcomes

The procedure has 100 possible outcomes. For a distribution to be binomial, there must be exactly two mutually exclusive outcomes for each trial (success or failure).

Final Answer: The distribution cannot be binomial because it does not have exactly two possible outcomes.

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