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?
A.叔叔有权要回彩票,并获得奖金
B.侄子是完全民事行为能力人,有权获得奖金
C.对于侄子来说,获赠的彩票中奖是纯获利益行为,10万元属于侄子
D.侄子获得奖金后,叔叔有权获得部分奖金
(有点难度的问题)最后,假定必须要买彩票。一个人一定会面临的效用曲线如图1l一7所示。他要支付多少钱才能消除以50%概率的损失10000美元和以50%概率的赢得10000美元的不确定性?彩票带来了与固定收入__________美元同样的平均效用。因此,他应该为保单支付__________美元,才能消除彩票的风险——通过这样做,他保证了__________美元的收入,即使彩票能产生__________美元的平均收入。
A.该行为为民事法律行为
B.甲继承其父的财产是合法行为
C.甲杀害其父以获得财产的行为是违法行为
D.甲父被杀害导致甲继承其父之遗产是自然事件