Question

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

Surveying 20 college students and recording their favorite TV showSurveying 20 college students and recording their favorite TV show.

Choose the correct answer below.

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

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

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

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

Answer 1

Surveying 20 college students and recording their favorite TV show.

In the following experiment the data obtained from the students of 20 colleges are not follow Binomial Distribution , because there are many TV shows exists , so we cannot separate the obtained data as success and failure and cannot assign probability of success (failure) , though the data obtained from each students is independent but cannot say it as Bernoulli Trials so the obtained data does not follow binomial distribution.