At a given time, the number of households connected to the Internet is a Poisson random variable with mean 50. Suppose that the transmission bit rate available for the household is 20 Megabits per second.
(a) Find the probability of the distribution of the transmission bit rate per user.
(b ) Find the transmission bit rate that is available to a user with probability 90% or higher.
(c ) What is the probability that a user has a share of 1 Megabit per second or higher?