The probability function of a random variable Y is given by p(i) ci i , i 0, 1, 2, , where is a known positive value and c is a constant (a) Find c (b) Find P (Y 0) (c) Find P (Y 2)

Question: The probability function of a random variable Y is given by p(i) = ci / i!, i = 0, 1, 2, .. ., where

The probability function of a random variable Y is given by p(i) = cλi / i!, i = 0, 1, 2, .. ., where λ is a known positive value and c is a constant.
(a) Find c.
(b) Find P (Y = 0).
(c) Find P (Y > 2).

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