# Determine Whether The Given Procedure Results In A Binomial Distribution

Question 1

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.

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.

Question 2

Determine Whether The Given Procedure Results In A Binomial Distribution Not State Two Reason.

20 college students are surveyed and their favourite TV shows were recorded.

Now, we have to decide whether the procedure would result in a binomial distribution.

First of all, we note, that the favourite TV show of one student is independent of the favourite TV show of another student.

So, THE TRIALS ARE INDEPENDENT.

Now, we see that there could be more than two TV shows which the students declare as their favourites.

So, THERE ARE NOT TWO OUTCOMES WHICH ARE POSSIBLE; MORE THAN 2 OUTCOMES ARE ALSO POSSIBLE.

So, we cannot define an outcome called success, because more than two outcomes are possible.

So, this procedure does not result in a binomial distribution.

option (C) No, because there are more than two possible outcomes.