Question: A discrete valued random variable, X, takes on the values 0, 1, 2, 3, 4, 5 with the following probabilities. 1 2 1 5 1

A discrete valued random variable, X, takes on the values 0, 1, 2, 3, 4, 5 with the following probabilities. 1 2 1 5 1 1 Rejection sampling will be carried out using a Poisson(4) as the envelope, where the Poisson probabilities for the values 0, 1, 2, 3, 4, and 5 are: Probabilities = [0.0183156388887, 00732625555549, 0146525111109, 0195366814813, 0195366814813, 0.15629345185] (a) What is optimal value for M? m (b) What is the acceptance rate? Acceptance Rate = (c) The Poisson generated value is x = 3. Specify the upper bound, B, for the Uniform(O,B) which will be sampled from to determine if x=3 is kept

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