christian-mann

3-86: The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of five per hour.
	a) What is the probability that exactly four arrivals occur during a particular hour?
	b) What is the probability that at least four people arrive during a particular hour?
	c) How many people do you expect to arrive during a 45-min period?
3-90: Let $X$ have a Poisson distribution with parameter $\mu$. Show that $E(X) = \mu$ directly from the definition of expected value. [\emph{Hint:} The first term in the sum equals 0, and then $x$ can be canceled. Now factor out $\mu$ and show that what is left sums to 1.
4-4: Let $X$ denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. The article "Blade Fatigue Life Assessment with Application to VAWTS" (\emph{J. of Solar Energy Engr.}, 1982: 107-111) proposes the Rayleigh distribution, with pdf
    \[ f(x; \theta) = \left\{ \begin{matrix} \frac{x}{\theta^2} \cdot e^{-x^2/(2\

christian-mann

\documentclass{exam}

\usepackage{listings}
\begin{document}
	\title{Homework Set 7}
	\author{}
	\date{}
	\maketitle
	
	\begin{questions}

christian-mann

\documentclass{exam}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath}
\usepackage{booktabs}
\usepackage{listings}
\usepackage{graphicx}
\usepackage{paralist}
\title{Statistics Homework 9}
\author{Christian Mann}

christian-mann

* {
	font-weight: bold;
}

christian-mann

echo "main(i){for(i=0;;i++)putchar(((i*(i>>8|i>>9)&46&i>>8))^(i&i>>13|i>>6));}" | gcc -x c - && ./a.out | aplay

christian-mann

#include <setjmp.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#ifndef C_LAMBDA
#define C_LAMBDA

typedef struct {
	void *addr;

christian-mann

import sys
import math

def factors(n):
    while n % 2 == 0:
        yield 2
        n //= 2
    for i in range(3, int(math.sqrt(n))+1, 2):
        while n % i == 0:
            yield i

christian-mann

// ==UserScript==
// @name         Show Invasions on Group Page TTR
// @namespace    https://github.com/christian-mann
// @version      1.1
// @description  Show invading cogs on the groups page of https://toonhq.org/groups so that it's easier to find a group for the cog you're looking for
// @author       Christian Mann (aka Lucky Penny)
// @match        https://toonhq.org/groups/
// @grant        GM.xmlHttpRequest
// ==/UserScript==

christian-mann

# ghost skip consistency calculator
import random
import sys

if 'bludgeon' in sys.argv:
    max_hit = 53
    accuracy = 0.8168
    speed = 4 # ticks
elif 'blowpipe' in sys.argv:
    max_hit = 31