For questions on bivariate distribution, the joint probability distribution of two random variables.
Learn about bivariate distributions:
Questions tagged [bivariate-distributions]
293 questions
1
vote
1 answer
Probability of 2 dimensional random variable.
Two balls are selected at random without replacement from a box that contains 3 blue, 2 red, and 3 green balls. If $X$ is the number of blue balls selected and $Y$ is the number of red balls selected.
Then the value of…
Ganesh Kumar
- 41
- 5
1
vote
1 answer
bivariate function
I have two variables and a single output for example:
$$x_1=\{0.2,0.4,0.6\} , x_2=\{0.2,0.6,1.9\} , y=\{10, 18, 30\}$$
I want to find an equation to obtain y from both $x_1$ and $x_2$: $y=f(x_1,x_2)$
What kind of equation is suitable for this…
saeed
- 21
0
votes
1 answer
if (x y) ~ bivariate normal (0, 0, 1, 1, ρ), show that q = (x^2 −2ρxy+y^2)/ 1−ρ^2 is distributed as chi square (2 degrees of freedom).
Here X and Y follow bivariate normal distribution and Q is a new variable including X and Y. Prove that the new variable Q follows chi square distribution with 2 degree of freedom.
0
votes
1 answer
finding constant in a bivariate join pdf
I'm given a
$$f_{X,Y}(x,y) =
\begin{cases}
cx, & \text{x > 0, y > 0, 1}\ \leq \ x+y \ \leq 2, \\
0, & \text{elsewhere.}
\end{cases}$$
and trying to find a the constant $c$.
I've set the x range to
$$0 < x < 2$$
and y range to
$$1-x < y <…
Xenotion
- 83
- 2
0
votes
0 answers
How to integrate this function in correct way?
I got an exercise on my class about bivariat distribution.
Given
$f(x,y)= x+y \quad \text{for} \quad 0
user136524
- 415
0
votes
1 answer
conditional distribution of normal variables
Please tap image twice to read.
Could someone prove why X and $Z+\Theta$ follow the same distribution with equations?
The text is taken from Ross A first course in probability
torgny
- 141
0
votes
1 answer
Bivariate normal distribution proving and finding parameters
I have $X$ and $Y$ which are independent random variables following the normal distribution.
How should I prove that a random variable ($Y-2X$, $X+3Y$) has bivariate normal distribution?
And how should I find the values of parameters for it?
Thanks…
Ganjira
- 115