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1. Find the moment generating functions of several common probability distributions including the binomial, Poisson, and gamma distributions. 2. Approximate the probabilities of winning more than 50 bets out of 100 with probability p=18/38 in roulette, and the probability that the sample mean is less than 0.5 for a random sample from a distribution with pdf f(x)=3x^2 for 0<x<1. 3. Find the probability that the difference between two random variables from a normal distribution with mean μ and variance 1

Author

Chan Sze Yuen

Language

EN