The probability generating function of the discrete nonnegative integer valued random variable having probability mass function p
Question:
The probability generating function of the discrete nonnegative integer valued random variable having probability mass function pj, j ≥ 0, is defined by
Let be a geometric random variable with parameter p = 1 - s, where 0 < s < 1. Suppose that is independent of X, and show that
ϕ(s) = P{X < Y}
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ANSWER To show that s PX Y we need to find the probability generating function of Y and then use it ...View the full answer
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