Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Randomly selecting 50 adults and asking if they like rap music, recording Yes or No Choose the correct answer below. A. No, because there are more than two possible outcomes and the trials are not independent. B. Yes, because all 4 requirements are satisfied. Co, because there are more than two possible outcomes. Do, because the probability of success does not remain the same in all trials.
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The correct answer is D. It's not a binomial distribution because the probability of success does not remain the same in all trials. In a binomial distribution, the probability of success must remain constant for each trial, but preferences for music, like rap, can vary based on external influences such as recent trends or personal experiences, leading to changing probabilities. This procedure also fails to meet the "fixed number of trials" condition properly. In theory, asking 50 adults creates a fixed number of trials, but if the sampling method introduced biases or dependencies in responses (like asking friends or family), it could affect the independence of trials and compromise the validity of the distribution.