Suppose that X is a Poisson random variable with 2 = 45. Round your answers to 3 decimal places (e.g. 98.765). (a) Compute the exact probability that X is less than 30. (b) Use normal approximation to approximate the probability that X is less than 30. Without continuity correction: i With continuity correction: (c) Use normal approximation to approximate the probability that 60 < X < 90. Without continuity correction: i

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