All Questions
7 questions
0
votes
1
answer
38
views
Setting boundaries for calculating $P(Y/X>2)$ choosing $dx/dy$ order [duplicate]
Given two independent variables $X$ and $Y$, with marginal pdfs $f_X(x)=2x,
0 \le x \le 1$ and $f_Y(y)=1, 0 \le y \le 1$, calculate $P(\frac{Y}{X} > 2)$. So this can be written as $P(Y>2X)$,
...
- 115
3
votes
1
answer
9k
views
Finding the joint CDF using the joint PDF; why can't I do this?
Find the joint CDF of the independent random variables $X$ and $Y$, where
$f_X(x)=x/2, 0\le x \le 2, $ and
$f_Y(y)=2y, 0 \le y \le 1$.
To do this, we can find the CDF separately for each of the ...
- 115
4
votes
2
answers
360
views
Having difficulty deciding limits of integration for a joint to marginal pdf
A joint pdf, $f_{X,Y}(x,y)=5$, is given with the following intervals:
$-1<x<1$
$x^2<y<x^2+{1\over{10}}$
I am trying to find the marginal pdf of $f_Y(y)$ but I am stuck.
2
votes
3
answers
793
views
Finding Marginal pmf
I am studying for an exam and have come across this problem:
Let the random variables $X$ and $Y$ have the joint pmf:
$f_{XY}(x,y)={2\over{n(n+1)}}$ for $y=1, . . . , x$; $x=1, . . . , n$
Find the ...
- 11.5k
3
votes
1
answer
2k
views
Marginal density and conditional density from joint density [duplicate]
I am having trouble understanding how to solve this when the variables are not discrete.
Let the simultaneous density of the non-discrete stochastic variables (X,Y) be
I am then supposed to find ...
1
vote
0
answers
926
views
Marginal distribution of a function of order statistics
From the joint distribution of any two order statistics, say $Y_j$ and $Y_k$, $j<k$ I would like to derive the distribution of $Z=F(Y_k)-F(Y_j)$.
The initial pdf is:
$$f_{Y_j,Y_k} (y_j,y_k) =\...
- 21.1k
6
votes
1
answer
391
views
Question about a marginal distribution
If I observe the following:
$X \sim N(\mu_x,\sigma^2_x)$
$Y|X=x \sim N(x,\sigma^2_y)$
My objective is to calculate the marginal distribution of $Y$.
(Since the variance term does not address some ...
- 1,113