probability of X+Y which are two independent random variable & uniform distribution[0,1]
42451
Sum of two uniform random variables
152495
Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
142818
X,Y are independent standard normal distributed then what is the distribution of $\frac{X}{X+Y}$
46753
Find the pdf of $\prod_{i=1}^n X_i$, where $X_is$ are independent uniform [0,1] random variables.
92054
$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$
129116
$P(X<Y)$ where X and Y are exponential with means $2$ and $1$
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
101754
Transformation of Random Variable $Y = X^2$
118534
Find the distribution of (X, X+Y) when X and Y have a given joint Normal distribution
154309
Probability question of independent random varaibles
108690
The weighted sum of two independent Poisson random variables
63388
MLE of uniform distribution on the interval $[\theta − \frac{1}{2}, \theta + \frac{1}{2}]$
54461
Showing independence of random variables
114790
probability that a random variable is even
23603
Joint distribution of $X+Y$ and $\frac{X}{X+Y}$
139877
Square of a uniform random variable
150662
Probability of the sum of three random variables being less than 1