Question

Suppose a manufacturer knows from previous data that 3. 5% of one type of

lightbulb are defective. The quality control inspector randomly selects bulbs


until a defective one is found. Is this a binomial experiment? Why or why not?


O A. Yes, because the situation satisfies all four conditions for a


binomial experiment.


B. No, because the trials are not independent.


C. No, because each trial cannot be classified as a success or failure.


O D. No, because the number of trials is not fixed.

Answer 1

No, this is not a binomial experiment because the number of trials is not fixed.

Step-by-step explanation:

No, this is not a binomial experiment because the condition of having a fixed number of trials is not met. In this case, the manufacturer keeps randomly selecting bulbs until a defective one is found. The number of trials is not predetermined and can vary each time. Therefore, option D, 'No, because the number of trials is not fixed,' is the correct answer choice.

Answer 2

The given scenario is not a binomial experiment because it does not have a fixed number of trials, as trials continue until a defective bulb is found.

Step-by-step explanation:

The situation described where a quality control inspector randomly selects bulbs until a defective one is found does not constitute a binomial experiment. The reason for this is that one of the key criteria for a binomial experiment is not being met - the number of trials in a binomial experiment must be fixed (n trials), which is not the case here since the trials continue until a defective bulb is found, making the number indefinite. Hence, the correct answer to the question is:

D. No, because the number of trials is not fixed.

To classify as a binomial experiment, all three criteria must be satisfied: a fixed number of trials, only two possible outcomes for each trial (success or failure), and all trials must be independent and conducted under identical conditions. In this instance, since the number of trials is not fixed, it does not satisfy the first criterion, disqualifying it as a binomial experiment.