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
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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
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?

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
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