Question: Problem 1 Let {px} be the probability mass function of an (a, b, 0) distribution. Let {py } be the probability mass function of corresponding

Problem 1 Let {px} be the probability mass function of an (a, b, 0) distribution. Let {py } be the probability mass function of corresponding zero-modified (a, b, 1) distribution (when po is modified to po ), and {p, } be the probability mass function of corresponding zero-truncated (a, b, 1) distribution (when po is modified to (). Show that PM (t) = pu + (1 -pm) pr (t), where PM (t) and P"'(t) are the PGF of {py } and { px } respectively

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