Let X∗ be the zero-truncated distribution of X, which has pgfPX... | Filo

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6. A truncated discrete distribution is one in which a particular class cannot be observed and is eliminated from the sample space. In particular, we consider a zero-truncated random variable XT, which comes from a random variable X ranging in 0, 1, 2,..., but 0 class cannot be observed. Then, the pmf of XT is P(XT = x) = P(X = x | X > 0) = (P(X = x))/(P(X > 0)), Find the pmf, mean and variance of XT if X ∼ Poisson(λ). x = 1, 2, 3,...

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