Fmd the expected value of the function g (X) = X?, where x is a random variable defined by the density, fy (x) = a. e ax, u (x), where a' is a constant.

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Q: A random variable X has a pdf   f(x) = { kex, x<0             0   , otherwise }   Determine the…

A: K=? V(X)=?

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Q: 19. Let X and Y be two random variables with joint probability density function given by fxx(x, y) =…

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A: It is given that the variable X is uniform random variable with interval [2, 10].

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A: Given: fy=1eyπy,     y&gt;00,                  otherwise

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A: The probability mass function of random variable y is given as:

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A: The probability density function of a uniform distribution is given below:

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A: As given above that the random variable X with density function as:…

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Q: Consider the probability density f(x) = ae-bl, where x is a random variable whose allowable values…

A: From the given data: fx=aebx    x&lt;0 for are xfx=aebx            x&lt;0ae-bx          x&gt;0

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Q: A random variable Y has a probability density function f(y) = A(y − 1.5) over the state space −2 ≤ y…

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Q: x~n(0,1) and find the probability density function of the random variable y=|x|

A: Solution-:Given: We want to find the probability density function of the random variable

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Q: The(probability density function of a random variable, x is (x) = -(4 – x²) for 0< x < 2 4 = 0 %3D…

A: Introduction :

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A: Given,PDF of a random variable X is,fX(x)=exx&lt;00otherwise

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A: Let X and Y be random variables with joint density functionf(x,y)=x+y  ;x,y€[0,1]

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A: Let X and Y be random variables with the joint density function f(x,y)=x+y, if x,y element of [0,1],…