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Gamma Rays: Helper or Hazard?

Extremely Powerful Gamma-Rays Detected Coming From Unknown Source at the Center of the Milky Way

Suppose a gamma distributed random variable is defined over the... | Filo

Gamma Distribution: Define a continuous random variable X with ... | Filo

SOLVED: Let Y be a gamma random variable with parameters (s, a). That is, its density isfy(y) = Ce^(-ay)y^(s-1)ly>0where C is a constant that does not depend on y.(3pts) Find the value of C such that fy(y) is a probability density function:(b) (Tpts) Suppose also that the conditional distribution of X given that Y = y is Poisson with mean y. That is,P(X=i|Y=y)=e^(-y)y^i/i! (i≥0).Compute the conditional distribution, fyyx(y|i), of Y given that X = i.

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