Question

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied.
Randomly selecting 100 students and recording how much they like rap music on a scale from 1 to 10.


Choose the correct answer below.


A.


Yes comma because all 4 requirements are satisfied.


B.


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


C.


No comma because there are more than two possible outcomes.


D.


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

Answer 1

Answer:

Option C is the correct one

Step-by-step explanation:

The events are independent because you are selecting the students randomly and how much they like rap music does not depend on the results on the other students. However, in each event of the binomial distribution there are two possible outcomes: success and fail. In this experiment there are 10 possible results for each event, therefore the distribution inst binomial. The correct answer therefore is C.