The following counts of vehicles arriving at a toll station,over 1-minute intervals, were made by an engineering student:2,0,4,1,2,4,2,1,6,2,5,4,4,3,3,2,2,1,2,3,2,5,2,0,1,2,0,3,1,1,2,3,5,6,3,4,3,4,0,6,3,2,1,4,4,0,1,4,3,7,0,0,2,3,2,4,3,2,4,5 (a)Assuming the vehicle arrivals were generated by a Poisson process,compute the maximum likelihood estimate of the arrival rate. (b)Test the hypothesis that the arrival counts follow a Poissondistribution, at the ?=0.05 significance level.
