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?