Question

STAT 190 Let X and Y have the joint probability density function (PDF), f X,Y (x,...

STAT 190 Let X and Y have the joint probability density function (PDF), f X,Y (x, y) = kx, 0 < x < 1, 0 < y < 1 - x^2,

= 0, elsewhere,

where k is a constant.

1) What is the value of k.

2)What is the marginal PDF of X.

3) What is the E(X^2 Y).

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4. Let X and Y be random variables having joint probability density function (pdf) f(x, y)...
4. Let X and Y be random variables having joint probability density function (pdf) f(x, y) = 4/7 (xy − y), 4 < x < 5 and 0 < y < 1 (a) Find the marginal density fY (y). (b) Show that the marginal density, fY (y), integrates to 1 (i.e., it is a density.) (c) Find fX|Y (x|y), the conditional density of X given Y = y. (d) Show that fX|Y (x|y) is actually a pdf (i.e., it integrates...
Let X and Y have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩...
Let X and Y have the joint probability density function f(x, y) = ⎧⎪⎪ ⎨ ⎪⎪⎩ ke−y , if 0 ≤ x ≤ y < ∞, 0, otherwise. (a) (6pts) Find k so that f(x, y) is a valid joint p.d.f. (b) (6pts) Find the marginal p.d.f. fX(x) and fY (y). Are X and Y independent?
The joint probability density function (pdf) of X and Y is given by f(x, y) =...
The joint probability density function (pdf) of X and Y is given by f(x, y) = cx^2 (1 − y), 0 < x ≤ 1, 0 < y ≤ 1, x + y ≤ 1. (a) Find the constant c. (b) Calculate P(X ≤ 0.5). (c) Calculate P(X ≤ Y)
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]
The joint probability density function (pdf) describing proportions X and Y of two components in a...
The joint probability density function (pdf) describing proportions X and Y of two components in a chemical blend are given by f(x, y) = 2, 0 < y < x ≤ 1. (a) Find the marginal pdfs of X and Y. (b) Find the probability that the combined proportion of these two components is less than 0.5. (c) Find the conditional probability density function of Y given X = x. (d) Find E(Y | X = 0.8).
a) The joint probability density function of the random variables X, Y is given as f(x,y)...
a) The joint probability density function of the random variables X, Y is given as f(x,y) = 8xy    if  0≤y≤x≤1 , and 0 elsewhere. Find the marginal probability density functions. b) Find the expected values EX and EY for the density function above c) find Cov  X,Y .
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 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 .
Let X and Y be two continuous random variables with joint probability density function f(x,y) =...
Let X and Y be two continuous random variables with joint probability density function f(x,y) = 6x 0<y<1, 0<x<y, 0 otherwise. a) Find the marginal density of Y . b) Are X and Y independent? c) Find the conditional density of X given Y = 1 /2
Let X and Y have the joint PDF (i really just need g and h if...
Let X and Y have the joint PDF (i really just need g and h if that makes it easier) f(x) = { c(y + x^2) 0 < x < 1 and 0 < y < 1 ; 0 elsewhere a) Find c such that this is a PDF. b) What is P(X ≤ .4, Y ≤ .2) ? C) Find the Marginal Distribution of X, f(x) D) Find the Marginal Distribution of Y, f(y) E) Are X and Y...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT