(6) Let X be a Poisson random variable with parameter 9, then E(X²) = 1.
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Q: ANSWER PLEASE G,H,I
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A: Formulas: qtx=1-lx+tlxqt|ux=qt+ux-qtx a) q9|445=q9+445-q945 =q1345-q945…
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- A poisson random variables has f(x,3)= 3x e-3÷x! ,x= 0,1.......,∞. find the probabilities for X=0 1 2 3 4 and also find mean and variance from f(x,3).?If X is Poisson random variable with parameter λ, compute E[1/(X + 1)]Let X be a Gaussian random variable (0,1). Let M = ln(5*X) be a derived random variable. What is E[M]?
- What is Pr(X = n) for a Poisson random variable with parameter l? What is E(X ) in this case?Find the moment generating function of the continuous random variable X∼U (a, b).If Y is an exponential random variable with parameters beta then mean = E(Y) =beta and variance squaared = V(Y) = beta squared. Show proof of this