Let random sample of n observations from each of the distributions: a. Poisson distribution with parameter θ. b. f(x, θ) = (1/ θ) e-x/θ , 0 < x. In each case find the Minimum Variance Estimator of θ and prove its efficiency.

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Q: Let X, and X, be independent exponential distributions with the same parameter 1. What is the joint…

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Q: (i) the maximum value of p.d.f. (ii) expectation of X, E(X) (iii) variance of X.

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Q: Let X1,., X, be a random sample from a uniform distribution on the interval (0, 50], where 0 > 0.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let X1, X2, .., X10 be a random sample from a gamma distribution with a = 3 and ß = 1/0. Suppose we…

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Q: Y x+3 v=2r w = 2x +3 =

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Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

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Q: If X is a random variable with pdf f(x) = 2x − 2 where x = (1, 2), find the variance of Y = 2X - 3.

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Q: let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).

A: Given: Y=5X+10 Mean = 10 Variance = 25

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