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Determine if the following probability experiment represents a binomial experiment. If not, explain why. If the probability experiment is a binomial experiment, state the number of trials, \( n \). An experimental drug is administered to 250 randomly selected individuals, with the number of individuals responding favorably recorded. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. Yes, because the experiment satisfies all the criteria for a binomial experiment, \( n=\square \) (Type a whole number.) B. No, because there are more than two mutually exclusive outcomes for each trial. C. No, because the experiment is not performed a fixed number of times. D. No, because the trials of the experiment are not independent because the probability of success differs from trial to trial.

Ask by Alexander Fernandez. in the United States
Mar 16,2025

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The probability experiment is a binomial experiment with \( n = 250 \) trials.

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A. Yes, because the experiment satisfies all the criteria for a binomial experiment, \( n=250 \) This experiment meets the conditions of a binomial experiment: there are a fixed number of trials (250 individuals), each trial has two possible outcomes (respond favorably or not), and the trials are independent, assuming that the drug's efficacy does not vary significantly among the individuals.

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