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Suppose that the random variable X has a Poisson distribution with parameter 2 = 6. a. Determine P( = 5) b. Determine P(X - 3).

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Suppose that the random variable X has a Poisson distribution with parameter 2 = 6. a. Determine P( = 5) b. Determine P(X - 3). C. Determine P( = 2). (Hint: Use the complementation rule.) d. Find the mean of X. a. P(X = 5) = (Round to four decimal places as needed.)

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