Let X has Poisson distribution with parameter A such that P(X=2) =9P(X=4) +90P(X=6). Find the value of parameter

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A: Note: Hi there! Thank you for posting the question. As your question has 2 different questions, we…

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Q: 6. Develop the likelihood ratio test for testing Họ: u=2 versus H2: µ± 2 in a Poisson distribution.…

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A: given:jx|θ1n = 1θe-x-nθ

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Q: Let X have the Poisson distribution with parameter Y, where Y ha he Poisson distribution with…

A: It is given that,  Y~PoissonμX|Y~PoissonY   We know that if Z~Poissonλ Then,  EetZ=eλet-1

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Q: Find  P(X=4) if X has a Poisson distribution such that 3P(X=1)=P(X=2)

A: Given: 3P(X=1)=P(X=2)

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Q: Let X be a continuous random variable with PDFfx(x)= 8/x3, x> 2. Find E[W where W = X/3.

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A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: 3) Let X₁, X₂, X, be mutually independent and identically distributed exponential random variables…

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Q: Let X~N(0,1). Let Y=2X. Find the distribution of Y using the moment generating function technique.

A: Given Let X~N(0,1).   Y=2X.

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Q: Let X be a Poisson random variable with parameter 1> 0. (a) Calculate EX, EX(X – 1) and EX(X – 1)(X…

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Q: Find E[XY] if fxx) = 2/3 and the joint PDF of the random variables X and Y is zero outside and…

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Q: Let X be a random variable with pdf given by f(x) = 2x for 0 1/2). b. Find P(X > 1/2|X > 1/4).

A: The given pdf is fx=2x for 0≤x≤1 and fx=0 otherwise.

Q: Let random variables X₁ and X₂ be uncorrelated and each distributed according to fx(x) = { 0≤x≤T,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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Q: Fou are given the Posterior pdf fesp[-(8-x)]. e >x = (x\e)c [0. e <x ind (as a function of x) the…

A: It is an important part of statistics. It is widely used.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.