Given that X and Y are independent random variables and E(X) = 4, E(Y) = 7,  Var(X) = 3,  Var(Y) = 6; find  Var(8X - 2Y)

Q: If the variances for independent random variables X and Y is Var(X)=0.15 and Var(Y)=5.62 then Var…

A: Given that  Var(X)=0.15 Var(Y)=5.62

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Q: The profit for a new product is given by Z= 3X- Y- 5. If X and Y are independent random variables…

A: Answer - Given, Z = 3X - Y - 5             X and Y are independent random variables  with σx = 1…

Q: If X and Y are two random variables, then the covariance is Cxy = Ryy – XY

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Q: 1) If Var(X-Y) = 2, Var(X+Y) = 4, E(X) = 3 and E(Y) = 1, than what is E(XY)? 2) If X and Y are…

A: Solution is given below

Q: If two random variables X and Y are independent, then the covariance is zero, Cy=0, but the conyerse…

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Q: You are given two random variables X and Y. E(X) = 0.5, Var(X) = 2 E(Y) = 7, Var(Y) = 3.5 cov (X, Y)…

A: What is Variance: Variance is a spread measure for a random variable distribution that quantifies…

Q: 4. Let X be a discrete random variable with E (X) = 3 and Var(X) = 0.5, What are the mean and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Two random variables share the same range of numerical values (0,1,2,3} and their joint PMF is given…

A: Let , X and Y denote random variables of the discrete type , with joint pmf PXY(x,y) which is…

Q: For a certain random variable X it is known that E[X]=2, Var(X)=3. What E[x']?

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Q: If 'b' is Constant and X be a Random Variable then VX +b)3V(X)

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Q: (X³ , 2Y²-3Y+4)  Calculate the covariance by creating a common distribution table for the given…

A: Given : (X³ , 2 Y²-3 Y+4)

Q: Let us say that we have jointly distributed random variables X and Y with E(X) = 3, E(Y) = 5, Var…

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Q: Let X and Y be two random variable with E(X) = 1,Var(X) = 2, E(Y) = 2,Var(Y) = 2. Then Cov(X –…

A: GivenE(x)=1Var(x)=2E(y)=2Var(y)=2

Q: If the joint cumulative distribution function of random variables X and Y is F(x,y) = (1– e-*)(1-…

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Q: A continuous random variable X is defined by: Solve: 1. f(x) = (3+x)²/16  ; -3≤ x≤ -1 2. f(x) =…

A: Given: Let X be a continuous random variable. Solving the following density functions. 1.…

Q: What value of C minimized B(X – C), where X is a random variable?

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Q: applies to two random variables X and Y. (a) Show that X and Y are statistically independent (b)…

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Q: For two random variables X and Y, the following information is given. V(X)= 3, V(Y)=2 and cov(X, Y)…

A: Given that for two random variable X and Y,  VX=3VY=2cov(X,Y)=-1   The following variance propertied…

Q: Let X, and X, be independent random variables. Suppose the mean of X, and X2 are 2.5 and 3; and…

A: We have to solve given problem:

Q: Given that X and Y are independent random variables and E(X) = 4, E(Y) - 7, Var(X) = 3. Var(Y) = 6.…

A: given data   E(X) = 4, E(Y) - 7, Var(X) = 3. Var(Y) = 6. find Var(10X - 3Y) = ?

Q: The random variables X and Y are independent with E(X) = 10, E(Y) = 3, Var(X)= 7 and Var(Y) = 5,…

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Q: The pdf of a random variable X is given by = 20 fx(x) = 23x<5 Find the pdf of Y = 3X - 5.

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Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Given the distribution function x < 0 1 0<x < 2 F (x) = 2 < x < 5 1 r25 of the random variable X.…

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Q: (TRUE / FALSE) For two random variables, X and Y , E(XY ) = E(X)E(Y ) if X and Y are uncorrelated.

A: Solution: The covariance between the random variable X and Y can be defined as  Cov(X,Y)= E(XY)-…

Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that  X is a continuous random variable that takes on values between 10 and 40, then…

Q: If X1 and X2 are independent random variables with distribution given by P[Xi] = −1 = P[Xi = 1] =…

A: Construct the PMF of X1X2, So, P(X1X2 = x) = P(X1=1, X2 = 1) +P(X1=-1, X2 = -1)    if x =1P(X1=-1,…

Q: If the discrete random variable X has the pmf for 2-1,0,1,3, a = find E(X), and var(X).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Let X be a random variable with p.d.f. 2e-2x f(x)=< 0<x<0 , find E(e2") O.w

A: Let  X be a random variable with the pdf  fx=2e-2x                 0&lt;x&lt;∞0…

Q: PMF of random variable X is defined as 0.2 X = -2 0.1 X = -1 0.1 X = 0 Px (x) = {0 X = 1 ve X = 2…

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Q: Let X and Y be two independent exponential random variables. X ~

A: Given,  X and Y be two independent exponential random variables.                       X~exp(1) and…

Q: Find the value of Var(X − 2Y + 7).

A: It is given that Var(X) = 6, Var(Y) = 3 And ρ(X, Y) = -1/4

Q: Let X1, X2, andX3 be independent and normally distributed random variables with E(X1) = 4, E(X2) =…

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Q: (4) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x)= , find E(e2x) O.w

A: Random Variable: A random variable is a real valued function that assign a real number to each…

Q: Suppose we have three independent random variables X, Y and Z where... Var(X + 2Y) = 13, Var(2Y +…

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Q: Find the variance of the random variable Y where 3 )2,0y < 2 fr(u) 8

A: The given that the probability density function of the random variable Y is,

Q: If X and Y are independent random variables with E(X) =10, Var(X)= 4, E(Y) =12 and VAR (Y) = 3, If W…

A: Given,E(X)10Var(X)=4E(Y)=12Var(Y)=3W=-2X+Y X and Y are independent.

Q: The joint p.d.f of a two-dimensional random variables (x, y) is given by f(x,y) = kxe , 0 0 = 0 ,…

A: To find k, we need to apply total probability =1.

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p)…

A: Given that X(n, p) is a binomial random variable with parameters n and p.We will prove the given…

Q: Suppose X and Y are independent random variables such that E(X)= 0, E(Y) = -1, Var(X) = 1, and…

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Q: Assume that X and Y are random variables with the following parameters: - 4 and oy 3, 13, Hy 12, Ох…

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Q: For the discrete random variable X, P(X = 1) = p = 1– P(X = -1). Please find c so as to be E(c*) =…

A: The given equation is P(X = 1) = p = 1 – P(X = -1) and E(cX) = 1.

Q: Show that if X', Y' are the deviations of the random variables X and Y from their respective means,…

A: In our daily life, we all may come across some situations that one variable that is related to other…

Q: For two random variables X and Y, var(X + Y) = var(X)+ var(Y)+2 Cvy and var(X – Y) = var(X)+…

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