Question

Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Recording the number of televisions in 150 households

Choose the correct answer below.
A. No, because the probability of success does not remain the same in all trials.
B. Yes, because all 4 requirements are satisfied.
C. No, because there are more than two possible outcomes and the trials are not independent.
D. No, because there are more than two possible outcomes.

Answer 1

No, the given procedure does not result in a binomial distribution because the number of trials is not fixed.

Step-by-step explanation:

No, the given procedure does not result in a binomial distribution. In order for a distribution to be binomial, it must meet four requirements: (1) there must be a fixed number of trials, (2) there are only two possible outcomes, (3) the trials are independent and conducted under identical conditions, and (4) the probability of success remains the same in all trials. The given procedure does not satisfy requirement (1) as the number of televisions in 150 households can vary. Therefore, the correct answer is A. No, because the probability of success does not remain the same in all trials.

Answer 2

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

Step-by-step explanation:

In this procedure the number of televisions could vary in each house. Some people have one , two, even three or some may not have any. So the number of successes in each trial varies as the number of televisions varies.

Therefore, it is not a binomial distribution. It is necessary that for a binomial distribution the probability of success for each trial remains fixed.