Let X and Y be two independent random variables. Assume that X
is Negative-
Binomial(2, θ) and...
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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?
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Let random variables X and Y are independent randomvariablesX NB k1 2 thetaX denotes number of failures before the two successesThe
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