A bee needs to collect pollen for his hive. The positions of flowering flowering gum trees and flowering iron bark trees can be described by a pair of spatial Poisson processes with rates

and

respectively, where and are measured in kilometers from the beehive.

Find

(a) the probability that the bee will have to fly more than 1km to reach a flowering tree.

(b) the probability the there are exactly 5 flowering trees within 1 km?

(c) the expected number of flowering trees within 9km?