5. A multiple choice test has 5 questions. For a subject making random guesses for each answer, the probability for the number of correct responses are given in the table in the following table. Assume that a subject makes random guesses for each question. Is the given probability distribution a binomial probability distribution? X P(x) 0 0.4096 1 0.4096 2 0.1536 3 0.0256 4 0.0016 6. A multiple choice test has 5 questions. For a subject making random guesses for each answer, the probability for the number of correct responses are given in the table in the following table. Assume that a subject makes random guesses for each question. Find the probability of getting all correct answers. X P(x) 0 0.4096 1 0.4096 2 0.1536 3 0.0256 0.0016 4

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