Assume the small number of planes arriving at a given airport follows a distribution Poisson at a rate of α = 8 per hour. Then the number of small planes arriving in one
time interval t is a random variable with Poisson distribution with parameter µ = 8t.
a. Find the probability that exactly 6 small planes arrive within the time interval
1 hour; At least 6? At least 10?
b. Calculate the expected value and standard deviation of the number of small aircraft arriving in
90 minute period.