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the joint probability density function is given by 1. The joint probability density function (pdf) of X and Y is given by fxy(x,y) = A (1 – xey, 0<x<1,0 < y < 0 (a) Find the constant A. (b) Find the marginal pdfs of X and Y. (c) Find E(X) and E(Y). (d) Find E(XY).
Given the joint probability density function of (X,Y) ?(?, ?) = { ? −(?+?) , ? > 0, ? > 0 0, ??ℎ?????? find (1) ?(? > 2) and (2) ?(? + ? < 2).
1. The joint density function is given by (a) Is this a valid joint probability density function? (b) Find Cov (Yi, 2) (c) Find BYi-3Y2) and VartYi-3Y2). 1. The joint density function is given by (a) Is this a valid joint probability density function? (b) Find Cov (Yi, 2) (c) Find BYi-3Y2) and VartYi-3Y2).
Determine the value of c that makes the function f(x,y) = cxy a joint probability density function over the range 0<x<3 and 0<y<x.
. Suppose that the joint probability mass function of X and Y is e probability mass function o
. Suppose that the joint probability mass function of X and Y is e probability mass function o
Fill in the table below such that it is a valid joint probability mass function for two independent discrete random variables X and Y .x Pxxtx.y Pi() 0.25 Px) 0.20 0.40 Check
the marketing department of a company found that the function of joint probability of the demand of two of its main products (x, y) is represented by f (x, y) = w (4y + x); where x, y can take the values 0 <= x <= 3, 0 <= y <= 3, w is a constant. 1.) find the exponential function that relates the demand of the product x in function and, interpreting estimated coefficients of the model
Q. Suppose the joint probability density function of X and Y is (a) Show that the value of constant ?=12/11 (b) Find the marginal density function of X, i.e., fX(x). (c) Find the conditional probability density of X given Y = y, i.e., fX|Y(x|y). fxy(x, y) = s k(2 - x + y)x 1 0 0 < x < 1,0 = y = 1 otherwise
7. Show that if the joint probability density function of X and Y is if 0 < x <.. =sin(x + y) f(x, y) = { VI fres 9 Line + »» Hosszž, osys elsewhere, then there exists no linear relation between X and Y.