Skip to main content

All Questions

-1 votes
1 answer
103 views

Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$

Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$. I am able to use method of transformation to convert $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$, and ...
TJT's user avatar
  • 482
0 votes
0 answers
27 views

How to get a CDF value from a PDF when the required CDF is not within the defined area?

I have a density function f(x, y) = 1/2 for 0 ≤ x ≤ y ≤ 2 and 0 elsewhere. I am being asked to find the CDF value F(1, 3), but as you can see the three is past the range of the defined triangle, what ...
Statsgyal's user avatar
0 votes
1 answer
49 views

Bounds for marginal density function

I have the joint density function $f(y_1,y_2) = 3y_1, 0 \leq y_2 \leq y_1 \leq 1.$ And $0$ elsewhere. I have to find the marginal density function for $y_2$ My question is how to define the right ...
bestmate21's user avatar