Question: 1. Consider a simple game in which you roll a single die. If you rolI an even number, you gain that number of points, and,

1. Consider a simple game in which you roll a single die. If you rolI an even number, you gain that number of points, and, if you roll an odd number, you lose that number of points. a] Show the probability distribution of points in this game. In} What is the expected number of points per roll? o} Is this a fair game? 'Why? 2. A sultmler camp has seven 4.6-m canoes, ten 5.0-rn canoes, four 5.2-m canoes, and four ELI-m canoes. Canoes are assigned randomly for campers going on a canoe trip. a} Show the probability distribution for the length of an assigned canoe. b} "What is the expected length of an assigned canoe

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