1. Normal Norman hates when extreme things happen. Normal Norman is also a compulsive gambler. One of the games he likes to play is dice. In the particular dice game that he plays, 'a turn' is taken by rolling two dice and summing the faces, you win if you roll a sum of six, seven or eight, but lose in all other cases, if you win your win $50, but it costs $10 to play. Normal Norman will always play ten turns, then re-evaluate his luck. As was stated, he hates when extreme things happen, so if he wins between 3 and 7 (inclusive) turns, he continues to play, but if he doesn't, he will walk away from the game for the rest of the night. a) How likely is it that he will walk away after a set of 10 turns? DE b) What is his expected winnings over the 10 turns