Please choose and answer the following question correctly with explanations. There are two random variables X and Y, and their correlation coefficient p(X,Y) = 0.8.We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we havetwo new random variablesA = 2X+2 and B = 5Y+5.Please compute the expectation E(A+B) and the correlation coefficient of A andВ, p(А, B).O a. E(A+B) = 16ОБ. р(А,В) 3 0.25O c. p(A,B) = 0.8O d. E(A+B) = 5е. p(А,B) %3D 0.08O f.E(A+B) = 120g. E(A+B) = 23O h. None of the other answers are correct

Answered: Image /qna-images/answer/5314b1b5-e500-440d-9acd-21eccb997068.jpg

There are two random variables X and Y, and their correlation coefficient p(X,Y) = We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we h Ewo new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 O b. p(A,B) = 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 O e. p(A,B) = 0.08 O f. E(A+B) = 120 O g. E(A+B) = 23 O h. None of the other answers are correct

There are two random variables X and Y, and their correlation coefficient p(X,Y) = We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we h Ewo new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 O b. p(A,B) = 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 O e. p(A,B) = 0.08 O f. E(A+B) = 120 O g. E(A+B) = 23 O h. None of the other answers are correct

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...

See similar textbooks

Similar questions

If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .
Consider two assets (X and Y) with mX = 10%, mY = 10%, σX2=.16, σY2=.25, and Cov(X,Y) = -.125. What is the expected return and variance of the portfolio having 70% invested in X and 30% invested in Y? Compare the risk and return of this portfolio with the risks and returns associated with investing everything in either X or Y. a) What is p(XY)? b) What is the expected return of the portfolio (m.7X+.3Y)? c) What is the standard deviation of the portfolio (s.7X+.3Y)? d) How does the standard deviation of the portfolio (s.7X+.3Y) compare to the standard deviations of assets X and Y? Show all work and formulas used in EXCEL
A poisson random variables has f(x,3)= 3x e-3÷x! ,x= 0,1.......,∞. find the probabilities for X=0 1 2 3 4 and also find mean and variance from f(x,3).?
If X and Y are Gaussian random variables then what is E[XY]?
If X is Poisson random variable with parameter λ, compute E[1/(X + 1)]
If X and Y are independent Poisson random variables with E[X] = 3 and E[Y] = 2, what is P[ X = 2 | X + Y = 4 ]?
Given is the PDF of random variable X, where c = 1 and fx(x) = x^2 0<=x<=c. Determine the: 1. value of d to make the PDF valid 2. expected value of X 3. variance of X
The following random variables X, Y, Z, W are known to be Gaussian.
Suppose the joint PMF of random variables X and Y isP(X = x, Y = y) =3/14 , if (x, y) = (−1, 1)2/14 , if (x, y) ∈ {(0, 1),(−1, 0),(0, 0)}1/14 , if (x, y) ∈ {(1, 1),(1, 0),(−1, −1),(0, −1),(1, −1)}0, otherwise(a) Find the covariance of X and Y .(b) Find the correlation of X and Y .
If X is a continuous random variable with X ∼ Uniform([0, 2]), what is E[X^3]?
Let X1,...,Xn be iid random variables with expected value 0, variance 1, and covariance Cov [Xi,Xj] = ρ, for i≠j. Use Theorem of linearity of expectation to find the expected value and variance of the sum Y = X1 +...+Xn.
Suppose the random variable y is a function of several independent random variables, say x1,x2,...,xn. On first order approximation, which of the following is TRUE in general?