Consider the probability that every bin receives exactly one ball when n balls are thrown randomly into n bins. (a) Give the Poisson approximation of this probability, as determined by the proba- bility distribution of the suitable Poisson random variable. Hint: No derivation is needed, just give the probability that approximates. (b) Determine the exact probability of this even (c) Show that these two probabilities dier by a multiplicative factor that equals theprobability that the Poisson random variable with parameter n takes on n asvalue. (d) Explain why the fact stated in (c) Solution http://inst.eecs.berkeley.edu/~cs174/fa10/sol4.pdf go to second page you will find your answer.