理查德正在决定要不要购买州发行的彩票，每张彩票的价格为1美元，取得回报的概率如下所示:(1)如

理查德正在决定要不要购买州发行的彩票，每张彩票的价格为1美元，取得回报的概率如下所示:（1)如

理查德正在决定要不要购买州发行的彩票，每张彩票的价格为1美元，取得回报的概率如下所示:

(1)如果理查德购买了一张彩票，它的期望收益是多少？方差呢？

(2)理查德的绰号是“无风险的草堆”，因为他对风险极度地规避。他会购买彩票吗？

(3)理查德获得了1000张彩票。讨论一下你将怎样确定他愿意卖出这1000张彩票的最低价格？

(4)从长期来看，给定彩票的价格和回报/概率表，你认为该州可以从该活动中得到什么？

Richard is deciding whether to buy a state lottery ticket. Each ticket costs $ 1, and the probability of winning payoff is given as follows:

a. What is the expected value of Richard' s payoff if he buys a lottery ticket？ What is

the variance？

b. Richard' 8 nickname is“No-risk Rick". He is an extremely risk-averse individual. Would he buy the ticket？

e. Richard has been given 1000 lottery tickets. Discuss how you would determine the smallest amount for which he would be willing to sell all 1000 tickets.

d. In the long run, given the price of the lottery tickets and the probability/return table, what do you think the state would do about the lottery？