Question

Let joint CDF Fx,y (x,y) = сxy(x2 + y2) for 0 ≤ x ≤ 1, 0...

Let joint CDF Fx,y (x,y) = сxy(x2 + y2) for 0 ≤ x ≤ 1, 0 ≤ y ≤ 1.

Find а) constant с.

b) Fx|y (x|y) for x = 0.5, y = 0.5.  

Homework Answers

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
Ex-12.3 Let joint CDF FX,Y (x,y) = сxy(x^2 + y^2) for 0<=x<=1,  0<=y<=1. Find а) constant с....
Ex-12.3 Let joint CDF FX,Y (x,y) = сxy(x^2 + y^2) for 0<=x<=1,  0<=y<=1. Find а) constant с. b) Fx|y (X,Y) for x = 0.5, y = 0.5.
RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤...
RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤ y ≤ 1 , and fx,y(x,y) = 0, otherwise, c is a constant. Find a) fx|y(x|y = 0.5) for x ∈ [0, 0.5], b) E(X | y = 0.5).
Let X and Y have the joint p.d.f. f(x,y)= 1 when |x2 −y2| < 1        ...
Let X and Y have the joint p.d.f. f(x,y)= 1 when |x2 −y2| < 1         = 0 otherwise 2. Then, (a) Find the marginal distributions of X and Y respectively. (b) Obtain the conditional distribution of Y given X = x, for 0 < x < 1. (c) Find the mean and variance of X only.
4.4-JG1 Given the following joint density function in Example 4.4-1: fx,y(x,y)=(2/15)d(x-x1)d(y-y1)+(3/15)d(x-x2)d(y-y1)+(1/15)d(x-x2)d(y-y2)+(4/15)d(x-x1)d(y-y3) a) Determine fx(x|y=y1) Ans: 0.4d(x-x1)+0.6d(x-x2)...
4.4-JG1 Given the following joint density function in Example 4.4-1: fx,y(x,y)=(2/15)d(x-x1)d(y-y1)+(3/15)d(x-x2)d(y-y1)+(1/15)d(x-x2)d(y-y2)+(4/15)d(x-x1)d(y-y3) a) Determine fx(x|y=y1) Ans: 0.4d(x-x1)+0.6d(x-x2) b) Determine fx(x|y=y2) Ans: 1d(x-x2) c) Determine fy(y|x=x1) Ans: (1/3)d(y-y1)+(2/3)d(y-y3) d) Determine fx(y|x=x2) Ans: (3/9)d(y-y1)+(1/9)d(y-y2)+(5/9)d(y-y3) 4.4-JG2 Given fx,y(x,y)=2(1-xy) for 0 a) fx(x|y=0.5) (Point Conditioning) Ans: (4/3)(1-x/2) b) fx(x|0.5
Let X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤...
Let X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤ y ≤ 1−x, 0 ≤ x ≤1. 1. Are X and Y independent? Explain with a picture. 2. Find the marginal pdf fX(x). 3. Find P( Y < 1/8 | X = 1/2 )
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
Let X and Y be a random variables with the joint probability density function fX,Y (x,...
Let X and Y be a random variables with the joint probability density function fX,Y (x, y) = { cx2y, 0 < x2 < y < x for x > 0 0, otherwise }. compute the marginal probability density functions fX(x) and fY (y). Are the random variables X and Y independent?.
Let (X, Y ) have joint cdf F, and let G be the cdf of the...
Let (X, Y ) have joint cdf F, and let G be the cdf of the random variable X + Y . Show that F(x, x) ≤ G(2x) for all x ∈ R
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y)...
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y) = 1(0 < x < 1,0 < y < 1). (a) Find P(X + Y ≤ 1). (b) Find P(|X −Y|≤ 1/2). (c) Find the joint cdf F(x,y) of (X,Y ) for all (x,y) ∈R×R. (d) Find the marginal pdf fX of X. (e) Find the marginal pdf fY of Y . (f) Find the conditional pdf f(x|y) of X|Y = y for 0...
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0&
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0             ,     otherwise a. Find the value of the constant c. b. Find P[x < 1 and  y < 2]