Problema Solution

An insurance company has discovered that only about 0.1% of the population is involved in a certain type of accident each year. if it 10000 policy holders were randomly selected from population.what is the probability that more than 5 of its clients are involved in such as accident next year?

Answer provided by our tutors

because of the very low probability, poisson suits

poisson mean m, = 10,0000*0.1/100 = 10

P[x] = e^-m*m^x/x!

P[≤5] = sum e^-10(10^x/x!), x = 0 to 5 = .0671 <----