Given the following joint distributionfXY(x,y)={cex+2y0<x,0<y0else
Calculate the following
For a valid pdf sum of probabilities must be equal to 1. Now,
It cannot be equal to 1 so it is not a valid pdf.
Given the following joint distributionfXY(x,y)={cex+2y0<x,0<y0else Calculate the following The value of c that makesfXY a proper...
0〈z,0〈y Given the following joint distributionfrY(x,y)-, cez+2y else Calculate the following 1. The value of c that makesfxy a proper pdf 2. The marginal distribution function fx(z) 3. The marginal distribution function fy () 4. P(X 1) 7. The random variables X and Y are independent if it is possible to write fxy (x, y) as the product of Íx (x) and fy (y) such that/xy(z, y) = k . Íx (x) . fy(y) for some value of k. Are...
. For > 0 and A > 0, define the joint pdf -Ay = 0<x<A,<y, fx.y(,y) 10 else. (a) Express c in terms of X and A. (b) Find E[XY]. (c) Let [2] be the largest integer less than or equal to z. For example, (3.2] = 3 and [2] = 2. Find the probability that [Y] is even, given that 4 <x< 34
Given that and given that theta = 0, x = 0, y = mg/k. Find out what x, is 1 0 2 (0) = 0 mg 9(0) 0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image 1 0 2 (0) = 0 mg 9(0) 0
Given joint density function of x, y: , Find the coefficients of the the best linear predictor y=a+bx+e f(x, y) = +92) We were unable to transcribe this image
Calculate the following for the random vector (XY) with joint pdf fixy)--(3/4)(x+y) if 2x<yco, -1<x<o. 1. The marginal pdf of X and the marginal pdf of Y. Are X and Y independent random variables? 2. The expected value and variance of X and Y respectively. 3. The joint cdf in the case 2x<y<0. -1<x<0. 4. The expected value of the random variable Z defined as X^2 times Y^2. 5. The covariance between X and Y. 6. The expected value and...
If Y is locally compact Hausdorff space ,prove that there is a homomorphism C(XY,Z)C(X,C(Y,Z)) and define the homomorphism. We were unable to transcribe this imageWe were unable to transcribe this image
X and Y are jointly uniformly distributed and their joint PDF is given by: fX,Y(x,y) = {k , 0<=x<=4, 0 <=y <= 8 0 , otherwise } a.) find the value of k that makes the joint PDF valid b.) compute the probability P[(X-2)^2 + (Y-2)^2 < 4] c.) compute the probability P[Y > 0.5X + 5]
The joint pdf of X and Y is given by f(x, y) = C,0<x<y<1. a) Determine the value of C. b) Determine the marginal distribution of X and compute E(X) and Var(X). c) Determine the marginal distribution of Y and compute E(Y) and Var(Y). d) Compute the correlation coefficient between X and Y.
this is the answer 7. Let X and Y have joint density (x + y) for 0 < 2y 52 51 f(x, y) = ? otherwise. What is the conditional expectation of X given Y =y? We were unable to transcribe this image
Let X and Y be continuous random variables with following joint pdf f(x, y): y 0<1 and 0<y< 1 0 otherwise f(x,y) = Using the distribution method, find the pdf of Z = XY.