An accident insurance company has reserves to cover claims on no more than 3 accidents.If all accidents have a probability of 0.01 of occurring,if all accidents are independent,and if the insurance company writes 100 policies,what is the probability
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An accident insurance company has reserves to cover claims on no more than 3 accidents.If all accidents have a probability of 0.01 of occurring,if all accidents are independent,and if the insurance company writes 100 policies,what is the probability that they will not have enough reserves?
求的是100单保险中出现多于3次事故的概率
p=0.01
则此概率=1-不出事故-出一次事故的概率-二次事故的概率-三次事故的概率
不出事故 (1-p)^100
出一次事故 100C1*(1-p)^99*p
出两次事故 100C2*(1-p)^98*p^2
出三次事故 100C3*(1-p)^97*p^3
我算了一下 储备金不足的概率大概是0.3844
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