---
title: "HW 1"
author: "Name here"
date: "Due January 18, 2017 at 5:00 PM"
output: html_document
---

Please use D2L to turn in both the HTML output and your R Markdown file in.

### Q1. (3 pts) 
In the context of the Guess Who game with 6 possible characters, describe and defend a prior belief on the probabilities for each character being the "Who".

### Q2. (3 pts) 
Now assume you have asked a question that eliminates two characters, how have your prior beliefs changed. 

### Q3 (4 pts)
A key feature of this class will be focused on thinking probabilistically. In three or four sentences, interpret the graph below.

```{r, echo=F }
inches <- seq(0,10, by= .01)
density <- dgamma(seq(0, 10, by=.01), 5, 1.5) * .5
density[1] <- density[1] + .5
plot(inches, density, type='l', lwd=2, main='Probability of Snow Tomorrow ', xlab = 'Inches', ylab = '')
```