# Linked Questions

14 questions linked to/from What is $P(X_1>X_2 , X_1>X_3,... , X_1>X_n)$?
0 votes
0 answers
13 views

### Probability RV is min among several iid RVs [duplicate]

This question is inspired by this programming question. Suppose I have 3 RVs which are independent. $$X \sim N(25.5, 2.5)$$ $$Y \sim N(25.2, 3.5)$$ $$Z \sim N(24.9, 1.7)$$ I want to know what is the ...
• 1,138
17 votes
3 answers
3k views

### Which is largest, of a bunch of normally distributed random variables?

I have random variables $X_0,X_1,\dots,X_n$. $X_0$ has a normal distribution with mean $\mu>0$ and variance $1$. The $X_1,\dots,X_n$ rvs are normally distributed with mean $0$ and variance $1$. ...
• 6,528
9 votes
5 answers
633 views

### $P(X_1 < \min(X_i,\ldots, X_n))$ across different normal random variables

I have a set of mutually independent normal distributions $X_1$ to $X_5$ (with means and standard deviations) which represent finishing times for swimmers over a certain distance. The actual data is ...
• 113
9 votes
3 answers
1k views