Determine whether the given procedure results in a binomial distribution. If it

Question

Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied.

Surveying 200 teenagers and recording if they have ever committed a crimeSurveying 200 teenagers and recording if they have ever committed a crime

Choose the correct answer below.

A.

No comma because there are more than two possible outcomes.No, because there are more than two possible outcomes.

B.

No, because there are more than two possible outcomes and the trials are not independent.

C.

No, because the probability of success does not remain the same in all trials.

D.

Yes comma because all 4 requirements are satisfied.Yes, because all 4 requirements are satisfied.

Explanation / Answer

OPTION D: Yes, because all 4 requirements are satisfied. [ANSWER]

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The number of trials are fixed, 200.

The trials are [supposedly] independent.

There are two outcomes--crime and no crime.

The probability of committing a crime is the same for all.

All of these are satisfied.

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