Let $X, Y, Z$ be independent and $N(1,1).$ Find the probability that $X + Y ≥ 3Z$ using convolution.
93634
X,Y,Z independent and $\sim N(1,1)$. Find $P(X+Y \geqq 3Z)$
46753
Find the pdf of $\prod_{i=1}^n X_i$, where $X_is$ are independent uniform [0,1] random variables.
30662
$x_{1}...x_{n}$ are independent continuous random variables with common distribution function $F(x)$,compute $E(F(x_{(n)})-F(x_{(1)}))$
81363
How to compute $P(X>Y)$ if $X$ and $Y$ are independent and exponentially distributed
112001
The sum of $n$ independent normal random variables.
137108
Finding a distribution from the sum of two random variables in a joint trinomial distribution
83873
Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$
118867
Independence of Gaussian variables
116975
Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
82742
Proving that ${x +y+n- 1 \choose n}= \sum_{k=0}^n{x+n-k-1 \choose n-k}{y+k-1 \choose k} $
1264
Find the probability of an event determined by an inequality on exponential random variables
49209
Prove $(x+y)(y+z)(x+z)≤\frac8{27}(x+y+z)^3$
92290
For each $x,y,z∈\mathbb N$, if $x<y$ then $x+z<y+z$
1671
Convolution of a function with itself
129116
$P(X<Y)$ where X and Y are exponential with means $2$ and $1$
122678
Find the probability generating function of $Z=\sum_{i=1}^{N}X_i.$
121422
Independence between a constant random variable and another random variable.