The density function of a continuous Random variable X is fx (x) = ax for 0sx

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A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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Q: 5. For independent random variables X ~ Exp(A1) and Y ~ Exp(\2), find the density function for the…

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Q: Suppose that two continuous random variables X and Y have joint probability density function fxy =…

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Q: 24. Let X1, X2, ..., Xn be a random sample from a population X having the probability density…

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Q: 9. Let Y1, Y2,., Yn denote a random sample from the probability density function given by 0-1 0<y<3…

A: Solution:- Given that pdf of y f(yθ) = θ yθ-13θ , 0 ≤y≤30 , elsewhere

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A: a) f(x)=2βxe-βx2 for x&gt;0

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Q: Find the variance and standard for the continuous random variables with density functions 2x for 0 ≤…

A: List of formulae : Variance : Var(x) = E(x2)-E(x)2 Where , E(X)=∫xxf(x)dx E(X2)=∫xx2f(x)dx Standard…

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Q: Suppose that X and Y are random variables with the joint density function 1+ x - 5 4 |X<-4).

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A: To find the covariance of X and Y we need to find the marginal distribution of X and Y first.

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Q: Find the characteristic function for a random variable with density functio: fr (x) = x for 0<x<1

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A: Probability=0.3935 (b)

Q: Suppose that X and Y are random variables with the joint density function f(x, y) = {cx + cy, 0,…

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Q: Suppose (X; Y) is a continuous random vector with joint probability density function fx,ylx.v) = { y…

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Q: A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4, and p(x)=0…

A: Given that, A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4,…