In: Statistics and Probability
An insurance company holds fraud insurance policies on 6,000 firms. In any given year the probability that any single policy will result in a claim is 0.001. Find the probability that at least 3 claims are made in a given year. Use the Poisson approximation to the binomial distribution.
Average = 6000*0.001 = 6 claims per year
Hence,
P(Atleast 3 claims)
= 1 - P(Less than 3 claims)
= 0.938