(a) Suppose (X,Y) is a pair of continuous random variables with joint probability density function fx,x(s, t) = { 3e if s > 0 and t > 1 if not 3 t2 (b) Let Fx,y be the joint cumulative distribution function of the pair (X, Y). Compute Fx,y(4, 5). Let (X, Y) be as in Part (a). The random variable log(Y) has an exponential distribution. What is the corresponding rate parameter?

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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: f(x) 0.5

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A: (a) The random variable x is known to be uniformly distributed between 10 and 20. That is,…

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Q: Q3// let X and Y have the joint probability distribution function as : . (х, у) (1,1) (1,2) (1,3)…

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A: probability density function of Y=1-X : =&gt;   fY(y) = 2-2y ,     0&lt;y&lt;1Explanation:

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A: Farmula used E(Y)=∑YP(Y=y) Variance=V(Y)=E(Y2)-(E(Y))2

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