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
the marketing department of a company found that the function of joint probability of the demand...
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).
3. Let the joint probability density function of W, X, Y, and Z be for,x, y, z) = elsewhere (a) Find the marginal joint probability density function fw.x(w, z). (b) Use part (a) to compute P(O< W<X<1). 3. Let the joint probability density function of W, X, Y, and Z be for,x, y, z) = elsewhere (a) Find the marginal joint probability density function fw.x(w, z). (b) Use part (a) to compute P(O
Suppose a joint probability density function for two variables X and Y is given as follows: {24x0, if 0 < x < 1,0 < y < 1 f(x, y) = otherwise Please find the probability p (w > 1) =? 3
Let X and Y be two continuous random variables having the joint probability density below. f(x,y)={3xy/41 for 0<x<5,0<y<2, and x+y<5, 0 elsewhere} Find the joint probability density of Z=3X+4Y and W=Y.
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.
Random variables X and Y have the following joint probability density function, fx,y(x, y) = {c)[4] < 15.36, 1y| < 15.367 1.36} 0, 0.w. where cis a constant. Calculate P(Y – X| < 8.41).
< 1. The joint probability density function (pdf) of X and Y is given by for(x, y) = 4 (1 - x)e”, 0 < x <1, 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).
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
4.73 consider the joint probability distribution - Compuut We mean and variance for the leaf function W = X + Y. (4.73) Consider the joint probability distribution: X 1 0.30 0.20 0.25 1 0.25 a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X an c. Compute the mean and variance for the linear function W = 2X + Y. Consider the joint probability distribution: (b) (5 pts) / bu(am + 1)...
Given the joint probability density function of (X,Y) ?(?, ?) = { ? −(?+?) , ? > 0, ? > 0 0, ??ℎ?????? find (1) ?(? > 2) and (2) ?(? + ? < 2).