assume that each of 2000 individuals living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. suppose that each hit by a particle is harmless with probability 1 - 10-5 , and produces a tumor with probability 10- 5 . find the approximate distribution of: a) the total number of tumors produced in the whole population over a one-year period by this kind of radiation; b) the total number of individuals acquiring at least one tumor over a year from this radiation. sketch the histograms of each distribution, and find the means and sd's.