1.
there are two entrances to a parking lot. Car arrive at entrance 1 according to a poisson distribution with an average of these per hour, and at entrance 2 according to a poisson distribution with an average of four per hrs. Find the probability that exectly three cars arrive at the parking lot in a given hr.
2.
A pumping station operator observes that the demand for water at a certain hour of the day can be modelled as an exponencial random variable with a mean of 100 cubic feet per second.
what is the maximum water producing capacity that the station should keep on produce for this hour so that the demand will exceed this production capacity with probability of only 0.01