In which of the following should the random variable X not be modeled with a geometric distribution? A. According to a recent study, approximately to find someone with a master's degree of adults in the country have a master's degree. Let X represent the number of randomly selected adults in the country surveyed B. Suppose it is known that 5% of the light bulbs manufactured at a particular company are defective. Let X represent the number of randomly selected light bulbs that are inspected to find one defective light bulb. C. A particular basketball player is known to consistently make 90% of her free throws, and the outcomes of her free-throw attempts are independent. Let X represent the number of attempted free-throws to get one missed free-throw 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 E. It is believed that about 40's of people in the country have purchased a certain product. Let X represent the number of people randomly selected to find the first one who has purchased the product

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

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 colours are being chosen.

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

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