A random variable x has a density function f(x) = C*+1), where 0 < x < 2 2 Find: 1. The value of constant c 2. Р(x < 1) 3. Е (X) 4. Е (X?) 5. Var (X)

Q: The density function for a random variable X is f(x). 2x 0 < x < 1 2 f (x) = { elsewhere P({0.4 < X…

A: Ans#- Given, the probability density function of x is            f(x)  = 2 - 2x,…

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Q: 55 Prove that the functio: probability density F Given f(x)= 2(1-x) and (0<x< ضافة ملف

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Q: A continuous random variable X that can assume values between x = 3 and x = 6 has a 2(1+x) 33…

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Q: Let 0 < x < 1 otherwise 1 f (x) = { be density function of the random variable "X" , then find…

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Q: A random variable x has a density function f(x) = c(x+1) where 0 < x < 2| 2

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Q: For the random variable X with the density function f(x) = {2/ compute Var(X): ☐ and sd(X): 2/x2 for…

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Q: Suppose· X · has probability-density-function (p.d.f) fx(x) = 7(1+x²)³ ° which one is the p.d.f..…

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A: density function of X is given by;f(x)=1+bx,  0≤x≤1

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Q: *(a) Show that E(X) = aß and V(X) = aß². %3D #(b) Suppose that a = (pdf) of Y | and let Y= (X/ß)?.…

A: Given, Therefore, a.The E(X) and V(X) are given as follows:

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Q: 14. A random variable X has probably density function fx) = k for –3 1).

A: Probability density function of a random variable gives the probability at each possible value of…