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Tagged with bounds-of-integration probability-distributions
7
questions
1
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1
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Probability densities with conditions - how to find the distribution function
I have two probability density functions where i need to find the distribution function.
The first function is
$$f(x,y)=
\begin{cases}
\frac{x}{y} & \text{for $0\leq x\leq y\leq c$}\\
0&\text{...
- 11
-1
votes
1
answer
103
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Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$
Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$.
I am able to use method of transformation to convert $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$, and ...
- 482
0
votes
1
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49
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Bounds for marginal density function
I have the joint density function $f(y_1,y_2) = 3y_1, 0 \leq y_2 \leq y_1 \leq 1.$ And $0$ elsewhere.
I have to find the marginal density function for $y_2$
My question is how to define the right ...
- 163
-1
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1
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186
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How do you find the bounds for a joint probability distribution function?
$$\begin{aligned} f(x, y) &=\begin{cases}1/(x^{2} y^{2}) & \text { für } &x \geq 1, y \geq 1 \\[1ex] 0 &&\text { sonst. }\end{cases}\\[2ex] V&:=X Y\end{aligned}$$
Find the ...
- 848
0
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0
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26
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Correct limit of integration when it difficult to visualize the region of integration?
I was running into a problem where I need to evaluate some probability over a region $D$.
A toy example would be this probability $\Pr \left[ {\underbrace {Y < \frac{{5\left( {X + 7} \right)}}{{9X}}...
0
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2
answers
65
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Sum of two independent random variables: Inconsistent CDF
I have two random continuous RV $X$ and $Y$ and the sum $Z=X+Y$. I am trying to derive the pdf from the first principle but somehow I could not get the results to agree.
--
Let $Y\sim\mathcal{U}(0,1)$ ...
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1
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321
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How to find bounds of integral of a C.D.F?
Suppose f(x,y) = {1/2 for 0<=x<=2 and 0<= y <= 1}
and 0 otherwise.
Find Pr(X>=Y). So everything to the right of x = y is where to integrate on
I believe you can find the bounds two ways:...
- 49