Question

In which of the following should the random variable X not be modeled with a geometric distribution?

Answer 1

Answer:

D)

In a bag of 30 different colored candies, about 20% are red. One candy will be selected one at a time without replacement, and its color will be recorded. Let  X  represent the number of candies selected before red is selected.

Explanation:

The selections are not independent because they do sampling without replacement which makes it so there is not an equal chance of being selected each round.

Answer 2

The question can be solved by evaluating the assumptions for a geometric distribution. Hence, since the probability for success is not the same for each trial, then the option D cannot be modeled using a geometric distribution.

• One of the assumptions to consider before the use of a geometric distribution can be valid is that, the probability of success must be the same for each outcome.

• In the option D, selection is done without replacement, meaning that, the number total possible outcome will decrease as we make each selection and will also depend on how the colors are being chosen.

Hence, the probability success will differ for each outcome, thus the option D is correct.

Learn more : https://brainly.com/question/19453987