The number of accidents in a day in town A is given by X , and the number of accidents in a day in town B is given by Y . The joint probability function for X and YY is f(x,y)=964x!y! for x=0,1,2,3 and y=0,1,2,3
(a) Find the expected number of accidents in a day in town A, i.e. E[X] .
(b) Find the expected number of accidents in a day in town B, i.e. E[Y]
(c) Find the expected total number of accidents in a day in both towns, i.e. E[X+Y].