Let X be a Poisson random variable with A - :3 and Y be a Poisson random variable with X = 4. Assume X and Y are independent. Find the following probabilities. (a) P(X <3, Y <3) (b) P(X>1,Y < 4)

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Let X be a Poisson random variable with A
-
3 and Y be a Poisson random variable with
X = 4. Assume X and Y are independent. Find the following probabilities.
(a) P(X <3, Y <3)
(b) P(X> 1,Y < 4)
Transcribed Image Text:Let X be a Poisson random variable with A - 3 and Y be a Poisson random variable with X = 4. Assume X and Y are independent. Find the following probabilities. (a) P(X <3, Y <3) (b) P(X> 1,Y < 4)
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