Let X and Y be continuous random variables with joint pdf fx y (x, y)-3x, 0 Sy and zero otherwise. 2. sx, a. What is the marginal pdf of X? b. What is the marginal pdf of Y? c. What is the expectation of X alone? d. What is the covariance of X and Y? e. What is the correlation of X and Y?
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
consider continuous joint density function f(x,y)= (x+y)/7; 1<x<2, 1<y<3 Marginal density for Y? Select one: (2+3x)/14 (3+2y)/7 (2+3y)/14 (3+2y)/14 consider continuous joint density function f(x,y)= (x+y)/7 ; 1<x<2, 1<y<3 P(0<x<3, 0<y<4)=? Select one: 0.5 1 0.15 0.25
(3x, The joint density function of X and Y is given by 0 Sy sxs1 f(x, y) = 0, otherwise. a) Use the distribution function technique to find the distribution function of W = X-Y. For 50% of the points, you may use the transformation technique, which is longer. >) Find the probability density function of W. Find the expected value E(W). )
x-2y=-7, 3x + y=7
Solve by using the Gauss-Jordan elimination method: x+y-z=2 2x+3y-z=7 3x-2y+z=9 I know that you have to convert them to 1 0 0 | 2 0 1 0 | 7 0 0 1 | 9 I am just not clear on how to do this row by row. Any help would be greatly appreciated.
The random variables X and Y have the joint PDF -fa.. 2 0 S x s 1 0 Sy s1 (2х + Зу) fxy(x, y) = otherwise The mean squared error is defined as ET(X + Y - t)21, what value of t minimizes this error? The random variables X and Y have the joint PDF -fa.. 2 0 S x s 1 0 Sy s1 (2х + Зу) fxy(x, y) = otherwise The mean squared error is defined as...
The random variables X and Y have the joint PDF -fa.. 2 0 S x s 1 0 Sy s1 (2х + Зу) fxy(x, y) = otherwise The mean squared error is defined as ET(X + Y - t)21, what value of t minimizes this error? The random variables X and Y have the joint PDF -fa.. 2 0 S x s 1 0 Sy s1 (2х + Зу) fxy(x, y) = otherwise The mean squared error is defined as...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Solve the system of equations. X+y-z=1 3x-y+z=7 x- 4y + 2z = -18 Select the correct choice below and fill in any answer boxes within your choice. O A. The one solution is x = 0, y = , and z = (Simplify your answers.) O B. There are infinitely many solutions. If z is allowed to be any real number, then x= (Type expressions using z as the variable.) O C. There is no solution. and y=