Let X be a random variable with E[X] = 0 and Var(X) = 8. Let Y = 3X + 7. 1. Find the expectation E[Y] of Y. 2. Find the variance Var (Y) of Y. (E[Y], Var(Y)) =

Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

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Q: (a) Find the expectation E (X) of X. E (X) = [] (b) Find the variance Var(X) of X. Varlx) = D

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Q: Then the variance of Y is

A: Given, E(Y/X=x)=2xvar(Y/X=x)=4x2 f(x)=1, 0&lt;x&lt;10, e.w

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Q: X > U (M-, M+) M, Xca) 3. X(2) rimators: 2 1x

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: Let X and Y be random variables with variances Var(X) = 1 and Var(Y ) = 2. (Note that X and Y might…

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Q: Let X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5]  a.) Find k b.) Find E(X)…

A: GIVEN DATA : X is the random variable with probability density function fx=k10-2x in the interval of…

Q: Let X be a random variable with discrete pdf f(x) = x/8 if x = 1, 2, 5, and zero otherwise. Find:…

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Q: 2. Let X be a random variable with pdf fx(x), and Y = X². %3D (a) Find fx(x|X > 0) (b) Find fy(y|X >…

A: We have to answer questions based on conditional pdf of distribution

Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2 +…

Q: F(x,y) = { (x+y)/42 ; x = 1,2,3  y = 1,2                 0; elsewhere ] (i) Find the mean for the…

A: F(x,y) : { (x+y)/42 ; x=1,2,3 y=1,2  ; 0 elsewhere } Mean : E(X) = sum(x*P(x))

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A: For U~u(0,1) pd.f. of U is f(u)= 1, 0&lt;u&lt;1 To find mean and variance we find p.d.f. of X.

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Q: A (t) is a random process having mean = 2 and auto correlation function Rxx (7) = 4 [e- 0.2 ld Let Y…

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Q: (47) Let X b(8, -) find E(5+6x) and distribution function.

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Q: Suppose that X ~ Pareto(7). Define Y = In(X+1). If E[X] = }, then what is the variance %3D of Y?

A: The probability density function(pdf) for a random variable X~Pareto(γ) is given by fX(x)=γ(1+x)γ+1,…

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A: Suppose X and Y are random variables. Given: E(X) = -3 E(Y) = 6 We have to find E(X-Y). E(X-Y) =…

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Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

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Q: C1. Let X be a continuous random variable with PDF f(æ) = (2 – æ) for -1 1)? (c) Calculate the…

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Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

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Q: (Corrected.) Suppose Y is a random variable with P{Y = −2} = 2/10, P{Y = 2} = 5/10 and P{Y = 3} =…

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Q: (16) The moment-generating function of the geometric random variable X with parameter p is M(t) =…

A: The moment-generating function of random variable X is given as, M(t)=p1-1-pet It is known that…