Question

Reduce the following expectations to linear combinations of constants and the following terms µX, µY ,...

Reduce the following expectations to linear combinations of constants and the following terms µX, µY ,
σ2 X, σ2 Y , and σXY . Do not leave expectation operators.

i) E[5(X + Y)−(X −µX)(Y −µY)]

ii) E[2(X −µX)^2 + (Y −µY)^2 + 5]

iii) Variance (3X + Y).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1a) Find all the integer solutions of each of the following linear Diophantine equations: (i) 2x...
1a) Find all the integer solutions of each of the following linear Diophantine equations: (i) 2x + y = 2, (ii) 3x - 4y = 0, and (iii) 15x + 18 y =17. 1b) Find all solutions in positive integers of each of the following linear Diophantine equations: (i) 2x + y = 2, (ii) 3x - 4y = 0, and (iii) 7x + 15 y = 51.
Let X and Y be two independent random variables with μX =E(X)=2,σX =SD(X)=1,μY =2,σY =SD(Y)=3. Find...
Let X and Y be two independent random variables with μX =E(X)=2,σX =SD(X)=1,μY =2,σY =SD(Y)=3. Find the mean and variance of (i) 3X (ii) 6Y (iii) X − Y
The expected values, variances and standard Deviatiations for two random variables X and Y are given...
The expected values, variances and standard Deviatiations for two random variables X and Y are given in the following table Variable expected value variance standard deviation X 20 9 3 Y 35 25 5 Find the expected value and standard deviation of the following combinations of the variable X and Y. Round to nearest whole number. E(X+10) =  , StDev(X+10) = E(2X) =  , StDev(2X) = E(3X-2) =  , StDev(3X-2) = E(3X +4Y) =  , StDev(3X+4Y) = E(X-2Y) =  , StDev(X-2Y) =
Linear Combinations 2) Returns on stocks X and Y are listed below: Period 1 2 3...
Linear Combinations 2) Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7 Stock X 4% 7% -2% 40% 0% 10% -1% Stock Y 2% -5% 7% 4% 6% 11% -4% Consider a portfolio of 10% stock X and 90% stock Y. What is the mean of portfolio returns? Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123). 3) Returns on...
Find the values of a and b for which the following system of linear equations is...
Find the values of a and b for which the following system of linear equations is (i) inconsistent; (ii) has a unique solution; (iii) has infinitely many solutions. For the case where the system has infinitely many solutions, write the general solution. x + y + z = a x + 2y ? z = 0 x + by + 3z = 2
A discrete time system can be i. Linear or non-linear ii. Time invariant or Time Variant...
A discrete time system can be i. Linear or non-linear ii. Time invariant or Time Variant iii. Causal or noncausal iv. Stable or unstable v. Static Vs Dynamic Examine the following systems with respect to every property mentioned above and give a brief explanation. a. y[n] = x[n]δ[n − 1] b. y[n] = x[n] + nu[n + 1] c. y(n) = x(2. n) d. y(n) = 3. x(n)
Decide whether or not the following equations are linear: (a) d^2/dx^2y(x) = -8(y(x))^2 is a -...
Decide whether or not the following equations are linear: (a) d^2/dx^2y(x) = -8(y(x))^2 is a - linear equation - non-linear equation (b) d/dx(yx) + sin(4y) = 0 is a - linear equation - non-linear equation (c) sin(8x)*d/dxy(x) + y(x) = 7x is a - linear equation - non-linear equation (d) d/dtx(t) +3x = -8t^3 is a - linear equation - non-linear equation (e) sin(5y(x))d/dxy(x) + y(x) = 9x is a - linear equation - non-linear equation
Consider the following statements. (i) The differential equation y′ + P(x) y  =  Q(x) has the...
Consider the following statements. (i) The differential equation y′ + P(x) y  =  Q(x) has the form of a linear differential equation. (ii) All solutions to y′  =  e^(sin(x^2 + y)) are increasing functions throughout their domain. (iii) Solutions to the differential equation y′  =   f (y) may have different tangent slope for points on the curve where y  =  3, depending on the value of x
Complete steps (i)-(vii) below in order to estimate the following values using linear approximation: (a) cos(31π/...
Complete steps (i)-(vii) below in order to estimate the following values using linear approximation: (a) cos(31π/ 180) (i) Identify the function, f(x). (ii) Find the nearby value where the function can be easily calculated, x = a. (iii) Find ∆x = dx. (iv) Find the linear approximation, L(x). (v) Compute the approximate value of the expression using the linear approximation. (vi) Compare the approximated value to the value given by your calculator. (vii) Compare dy and ∆y using the value...
5) Which of the following transitions between terms are allowed in the normal electronic      emission...
5) Which of the following transitions between terms are allowed in the normal electronic      emission spectrum of a many-electron atom: (i) 2P3/2 ? 2S1/2, (ii) 3P0 ? 3S1, (iii) 3D3 ? 1P1?