1. Consider the game of roulette. Suppose I bet $1 on red, and I play 10l2lI times. [a] This game pays which means that I win if the outcome Is red and lose otherwise. [b] My chance of winning on a single play is [cl Write down the box model for calculating the total amount I win or lose. This will Include the box and how many times I draw with replacement from it. [d] What is the most I can win, from 100 plays? [e] What is the most I can lose. from 100 plays? {f} What should I expect to win or lose, from 100 plays? {What is the expected value of the net gain?} [3] What is the standard error of the net gain