Assume that, independently, each adult is a victim of identity theft each month with probability 1/100, 000, and that a city has 400, 000 adults. Use the relevant approximation to answer next three questions.

(a) Find the probability that there will be 4 or more victims of identity theft next month in this city.

(b) Find the probability that next year there will be at least two months with 4 or more victims in this city.

(c) Counting the next month as month number 1, the month after that as the month number 2, etc., what is the probability that the first month to have 4 or more victims in this city will be month number 4?

*Hint*: part a uses possion,

part b should be a binomial (12,p) and use 1-(1-p)^12-12p(1-p)^11

part c should be a binomial (1-p)^(i-1) p