An automobile insurance company classifies each of its policyholders as being of one of the types i = . it supposes that the numbers of accidents that a type i policyholder has in successive years are independent poisson random variables with mean λi, i = . the probability that a newly insured policyholder is type i is pi, k i=1 pi = 1. given that a policyholder had n accidents in her first year, what is the expected number that she has in her second year? what is the conditional probability that she has m accidents in her second year?