Question

f (x, y) =(x+y)/(5(5 + 2)) is a joint probability density function over the range 0...

f (x, y) =(x+y)/(5(5 + 2)) is a joint probability density function over the range 0 < x < 5 and 0 < y < 2. Find V (X). Please report your answer to 3 decimal places.

Homework Answers

Answer #1

Therefore,

V(X) or Variance of X = 1.729

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If f(x,y) = k is a joint probability density function over the region 0<x<4, 0<y, and...
If f(x,y) = k is a joint probability density function over the region 0<x<4, 0<y, and x-1<y<x+1, what is the value of f(x)?
Given the joint probability density function f ( x , y ) for 0 < x...
Given the joint probability density function f ( x , y ) for 0 < x < 3 and 0 < y < 2 x^2y/81 Find the conditional probability distribution of X=1 given that Y = 1 f ( x , y ) = x^2 y/ 81 . F i n d the conditional probability distribution of X=1 given that Y = 1. i . e . f (X ∣ y = 1 )( 1 )
X and Y are continuous random variables. Their joint probability density function is given as f(x,y)...
X and Y are continuous random variables. Their joint probability density function is given as f(x,y) = 1/5 (y+2) for 0<y<1 and y-1<x<y+1. Calculate the conditional expectation E(x/y=0). Please show all the work and explain if the answer will be a number or just y in a given range.
Suppose that  X and Y  have the following joint probability density function. f (x, y)  = ...
Suppose that  X and Y  have the following joint probability density function. f (x, y)  =  3 /146 *x, 0  <  x  <  5,  y  >  0,  x − 2  <  y  <  x + 2 Find E(X).
The joint probability density function of x and y is given by f(x,y)=(x+y)/8 0<x<2, 0<y<2 0...
The joint probability density function of x and y is given by f(x,y)=(x+y)/8 0<x<2, 0<y<2 0 otherwise calculate the variance of (x+y)/2
Suppose that the joint probability density function of the random variables X and Y is f(x,...
Suppose that the joint probability density function of the random variables X and Y is f(x, y) = 8 >< >: x + cy^2 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 0 otherwise. (a) Sketch the region of non-zero probability density and show that c = 3/ 2 . (b) Find P(X + Y < 1), P(X + Y = 1) and P(X + Y > 1). (c) Compute the marginal density function of X and Y...
Suppose that  X and Y  have the following joint probability density function. f (x, y)  = ...
Suppose that  X and Y  have the following joint probability density function. f (x, y)  =  3 332  y,    0  <  x  <  5,  y  >  0,  x − 4  <  y  <  x + 4 (a) Find E(XY). (b) Find the covariance between X and Y.
The joint probability density function of two random variables X and Y is f(x, y) =...
The joint probability density function of two random variables X and Y is f(x, y) = 4xy for 0 < x < 1, 0 < y < 1, and f(x, y) = 0 elsewhere. (i) Find the marginal densities of X and Y . (ii) Find the conditional density of X given Y = y. (iii) Are X and Y independent random variables? (iv) Find E[X], V (X) and covariance between X and Y .
The joint density function of (X, Y ) is f(x, y) = c(x + y), 0...
The joint density function of (X, Y ) is f(x, y) = c(x + y), 0 ≤ y ≤ x ≤ 1. (1) Find c. (2) Find the conditional density f(y|x). (3) Find P(Y > 0.3|X = 0.5).
2. 2. The joint probability density function of X and Y is given by                               &n
2. 2. The joint probability density function of X and Y is given by                                                  f(x,y) = (6/7)(x² + xy/2), 0 < x < 1, 0 < y < 2.     f(x,y) =0 otherwise a) Compute the marginal densities of X and Y. b) Are X and Y independent. c) Compute the   conditional density function f(y|x) and check restrictions on function you derived d) probability P{X+Y<1} [5+5+5+5 = 20]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT