Discrete Distribution Dice Game Problem 

A dice game pays a player $5
for rolling a 3 or 5with a single die. The player must pay $2 for rolling
anything else. What is the mean and standard deviation of the distribution.
Draw the distribution. *


* The numbers in this problem were taken from Prer for the AP Exam Guide for Yates, Moore, and Starnes's Practice of Statistics, #30, Exam 4, 2003 