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Q8 Consider two independent continuous random variables X and Y with probability density function...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x,...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x, y) = {6. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
55. Let X and Y be jointly continuous random variables with joint density function fx.y(x,y) be-3y...
55. Let X and Y be jointly continuous random variables with joint density function fx.y(x,y) be-3y -a < x < 2a, 0) < y < 00, otherwise. Assume that E[XY] = 1/6. (a) Find a and b such that fx,y is a valid joint pdf. You may want to use the fact that du = 1. u 6. и е (b) Find the conditional pdf of X given Y = y where 0 <y < . (c) Find Cov(X,Y). (d)...
[1] The joint probability density function of two continuous random variables X and Y is fxy(x,...
[1] The joint probability density function of two continuous random variables X and Y is fxy(x, y) = {0. sc, 0 <y s 2.y < x < 4-y = otherwise Find the value of c and the correlation of X and Y.
7. The joint pdf of two random variables X and Y is given by 0sxs3,0s y<5...
7. The joint pdf of two random variables X and Y is given by 0sxs3,0s y<5 fx(x,y) 15' 0, otherwise Find Cov(X,y)
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 f...
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...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
Let X, Y be jointly continuous with joint density function (pdf) fx,y(x, y) *(1+xy) 05 x...
Let X, Y be jointly continuous with joint density function (pdf) fx,y(x, y) *(1+xy) 05 x <1,0 <2 0 otherwise (a) Find the marginal density functions (pdf) fx and fy. (b) Are X and Y independent? Why or why not?
The joint density function of the continuous variables X and Y is fX,Y(x,y) = (12/5)*x*(2-x-y) for...
The joint density function of the continuous variables X and Y is fX,Y(x,y) = (12/5)*x*(2-x-y) for 0<X<1 and 0<Y<1. a) Find the expected value of X+Y. (b) Find fX(x), and fY(y). (c) Find Cov(X,Y). (d) Find Corr(X,Y).
The joint probability density function of two continuous random variables X and Y is Find the...
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Show all work! Thank you! 0<x<2, 0<y<1 23. The joint pdf of X and Y is...
Show all work! Thank you!
0<x<2, 0<y<1 23. The joint pdf of X and Y is fx.y(x, y)= (region below). 3 0 otherwise a) Determine f(y) b) Determine fx, (x) c) Determine E[Yx] d) Determine E[X|y] 0 1 2 24. Suppose that the joint probability density function of the jointly continuous random variables X and Y is x on the given region fxy(x,y)= 11 10 otherwise Determine fyly) 1 _$6x 0<x< y1 25. Let X and Y be continuous random...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x, y) = {6. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
55. Let X and Y be jointly continuous random variables with joint density function fx.y(x,y) be-3y -a < x < 2a, 0) < y < 00, otherwise. Assume that E[XY] = 1/6. (a) Find a and b such that fx,y is a valid joint pdf. You may want to use the fact that du = 1. u 6. и е (b) Find the conditional pdf of X given Y = y where 0 <y < . (c) Find Cov(X,Y). (d)...
[1] The joint probability density function of two continuous random variables X and Y is fxy(x, y) = {0. sc, 0 <y s 2.y < x < 4-y = otherwise Find the value of c and the correlation of X and Y.
7. The joint pdf of two random variables X and Y is given by 0sxs3,0s y<5 fx(x,y) 15' 0, otherwise Find Cov(X,y)
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...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
Let X, Y be jointly continuous with joint density function (pdf) fx,y(x, y) *(1+xy) 05 x <1,0 <2 0 otherwise (a) Find the marginal density functions (pdf) fx and fy. (b) Are X and Y independent? Why or why not?
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Show all work! Thank you!
0<x<2, 0<y<1 23. The joint pdf of X and Y is fx.y(x, y)= (region below). 3 0 otherwise a) Determine f(y) b) Determine fx, (x) c) Determine E[Yx] d) Determine E[X|y] 0 1 2 24. Suppose that the joint probability density function of the jointly continuous random variables X and Y is x on the given region fxy(x,y)= 11 10 otherwise Determine fyly) 1 _$6x 0<x< y1 25. Let X and Y be continuous random...
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