Question

The amount of hamburgers (X) and hotdogs (Y) in pounds that a man eats at a...

The amount of hamburgers (X) and hotdogs (Y) in pounds that a man eats at a picnic is given by the following distribution:

f(x,y)=2x2+y2 for0<x<1 and 0<y<1 f(x,y)=2x2+y2 for 0<x<1 and 0<y<1

What is the variance of the amount of hamburgers eaten using the marginal distribution for hamburgers?

x and y are squared

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
The amount of hamburgers (X) and hotdogs (Y) in pounds that a teenager eats at a...
The amount of hamburgers (X) and hotdogs (Y) in pounds that a teenager eats at a picnic is given by the following distribution: f(x,y)=65x2+95y2 for 0<x<1 and 0<y<1 f(x,y)=65x2+95y2 for 0<x<1 and 0<y<1 What is the probability that the teen eats more than 1 pound of meat?
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.
Let X and Y have the joint p.d.f. f(x, y) = 1I(|x^2−y^2|<1). Then, (a) Find the...
Let X and Y have the joint p.d.f. f(x, y) = 1I(|x^2−y^2|<1). 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.
If the joint probability distribution of X and Y is given by: f (x, y) =...
If the joint probability distribution of X and Y is given by: f (x, y) = 3k (x + y), for x = 0, 1, 2, 3; y = 0, 1, 2. a) .- Find the constant k. b) .- Using the table of the joint distribution and the marginal distributions, determine if variable X and variable Y are independent.
Consider the function f(x/y)=(y^xe^-y)/x!, x=0,1,... y>=0 show that for each fixed y, f(x/y)id a p.d.f, the...
Consider the function f(x/y)=(y^xe^-y)/x!, x=0,1,... y>=0 show that for each fixed y, f(x/y)id a p.d.f, the conditional p.d.f of r.v. X, given another r.v. Y equals y If the marginal p.d.f of Y is Negative Exponentioal with parameter lambds=1, what is the joint p.d.f of X,Y? Show that the marginal p.d.f of X is given by f(x)=(1/2)^(x+1), x=0,1,2...
The joint probability distribution of two random variables X and Y is given in the following...
The joint probability distribution of two random variables X and Y is given in the following table X Y → ↓ 0 1 2 3 f(x) 2 1/12 1/12 1/12 1/12 3 1/12 1/6 1/12 0 4 1/12 1/12 0 1/6 f(y) a) Find the marginal density of X and the marginal density of Y. (add them to the above table) b) Are X and Y independent? c) Compute the P{Y>1| X>2} d) Compute the expected value of X. e)...
Let f(x, y) = c/x, 0 < y < x < 1 be the joint density...
Let f(x, y) = c/x, 0 < y < x < 1 be the joint density function of X and Y . a) What is the value of c? a) 1   b) 2 c) 1/2 d) 2/3 e) 3/2 b)what is the marginal probability density function of X? a) x/2 b)1 c)1/x d)x e)2x c)what is the marginal probability density function of Y ? a) ln y   b)−ln y c)1 d)y e)y2 d)what is E[X]? a)1 b)2 c)4 d)1/2 e)1/4
The joint PDF of X and Y is given by fX,Y(x, y) = nx^ne^(?xy) , 0...
The joint PDF of X and Y is given by fX,Y(x, y) = nx^ne^(?xy) , 0 < x < 1, y > 0, where n is an integer and n > 2. (a) Find the marginal PDF of X and its mean. (b) Find the conditional PDF of Y given X = x. (c) Deduce the conditional mean and the conditional variance of Y given X = x. (d) Find the mean and variance of Y . (e) Find the...
Suppose the random variable (X, Y ) has a joint pdf for the form ?cxy 0≤x≤1,0≤y≤1...
Suppose the random variable (X, Y ) has a joint pdf for the form ?cxy 0≤x≤1,0≤y≤1 f(x,y) = . 0 elsewhere (a) (5 pts) Find c so that f is a valid distribution. (b) (6 pts) Find the marginal distribution, g(x) for X and the marginal distribution for Y , h(y). (c) (6 pts) Find P (X > Y ). (d) (6 pts) Find the pdf of X +Y. (e) (6 pts) Find P (Y < 1/2|X > 1/2). (f)...
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second...
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second partials fxx(x,y)=16+4y, fxy(x,y)=4x and fyy(x,y)=2. Consider the point (0,0). Which one of the following statements is true? A. (0,0) is not a critical point of f(x,y). B. f(x,y) has a saddle point at (0,0). C. f(x,y) has a local maximum at (0,0). D. f(x,y) has a local minimum at (0,0). E. The second derivative test provides no information about the behaviour of f(x,y) at...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT