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1. A Poisson random variable is such that it assumes the values 0 and 1 with equal probability. Find the value of the Poisson parameter k for this variable.

2. Let X be binomial with n = 20 and p = .05. Find P[ X = 0] using the binomial density and compare your answer to that obtained using the Poisson approximation to this probability. Do you think that the error in the approximation is large?

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