Let X and y denote the failure times of two components of an electrical system. suppose that two random variables X and Y have the joint density f(x,y)=4e^(-2x-2y) for x>0,y>0.
Find the Marginal Density functions of Xand Y as well as covariance of X and Y
Let X and y denote the failure times of two components of an electrical system. suppose...
Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two components. The joint density of X and Y is −y(1+x) ye , x, y ≥ 0, f(x, y) = 0, elsewhere. (a) Give the marginal density functions for both random variables. (b) What is the probability that the lives of both components will exceed 2 hours?
. Jan wins, ue OTCS LICO. 6.127 Consider two identical electrical components. Let X and Y denote the respective lifetimes of the two components observed at discrete time units (e.g.,every hour). Assume that the joint PMF of X and Y is px.y(x, y) = p (1 - p)*+-2 if x, y e N, and px.Y(x, y) 0 otherwise, where O <p< l. Use the FPF for two discrete random variables to determine the probability that one of the components lasts...
Let X and Y denote independent random variables with respective probability density functions, f(x) = 2x, 0<x<1 (zero otherwise), and g(y) = 3y2, 0<y<1 (zero otherwise). Let U = min(X,Y), and V = max(X,Y). Find the joint pdf of U and V.
There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let y denote the lifetime of the second fuse both in years). Assume the joint probability density function of X and Yis f(x,y) – $(x +2y). 0<x<1, 0 <y<2 a. What is the probability that both uses last longer than 4 months? b. What is the probability that the second fuse lasts less than 3 months given that the first fuse last...
Let X and Y be two random variables with the joint probability density function: f(x,y) = cxy, for 0 < x < 3 and 0 < y < x a) Determine the value of the constant c such that the expression above is valid. b) Find the marginal density functions for X and Y. c) Are X and Y independent random variables? d) Find E[X].
10. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as 0.05 0.10 0.20 Evaluate the marginal distribution of X. flx, y) 1 1 0.05 y 3 0.05 5 0.00 0.10 0.35 0.10 a. b. Evaluate the marginal distribution of Y c. Find eXY-3/X -2)....
3. Let the random variables X and Y have the joint probability density function 0 y 1, 0 x < y fxy(x, y)y otherwise (a) Compute the joint expectation E(XY) (b) Compute the marginal expectations E(X) and E (Y) (c) Compute the covariance Cov(X, Y)
Let the random variable X and Y have the joint probability density function. fxy(x,y) lo, 3. Let the random variables X and Y have the joint probability density function fxy(x, y) = 0<y<1, 0<x<y otherwise (a) Compute the joint expectation E(XY). (b) Compute the marginal expectations E(X) and E(Y). (c) Compute the covariance Cov(X,Y).
Question 17 10 pts Determine the value of c such that f(x, y) is a valid joint pmf of the random variables X and Y, given the values for the joint pmf below Y-2 Y 4 Y=6 X-1 0.05 0.01 0.13 X-2 0.10 0.08 0.04 X -3 0.05 0.13 C OD.41 O O.82 O 0.14 O 0.07 Question 18 10 pts Aprivately owned liquor store operates botha drive-in facility and a walk-in facility. On a randomly selected day, let Xand...
3. Let the random variables X and Y have the joint probability density function fxr (x, y) = 0 <y<1, 0<xsy otherwise (a) Compute the joint expectation E(XY). (b) Compute the marginal expectations E(X) and E(Y). (c) Compute the covariance Cov(X,Y).