Question: Of the following binomial distributions all have the same expected value: a) n = 10, p = 0.2; b) n = 50, p = 0.04;

Of the following binomial distributions all have the same expected value: a) n = 10, p = 0.2; b) n = 50, p = 0.04; c) n = 100, p = 0.02, and d) n = 800, p = 0.0025.But the one that looks most like a Poisson Distribution (with a mean equal to two) is d) n = 800, p = 0.0025.Why is that the answer?We are not looking for anything complex here -- just the simple rule that was taught

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