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  3. let x and y be two independent random variables. a

Let X and Y be two independent random variables. Assume that X is Negative- Binomial(2, θ) and...

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Basic Math

Let X and Y be two independent random variables. Assume that Xis Negative-
Binomial(2, θ) and Y is Negative-Binomial(3, θ) distributed. Let Zbe another random

variable, Z = X + Y .
(a) Find the following probabilities: P(Z = 0), P(Z = 1) and P(Z =2);
(b) Can you guess what is the distribution of Z?

Answer & Explanation Solved by verified expert
4.4 Ratings (952 Votes)
Let random variables X and Y are independent randomvariablesX NB k1 2 thetaX denotes number of failures before the two successesThe    See Answer
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