[Exer8-1] Exercise 75 of Book {Devore2017B} P.137
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter $\lambda=20$ (suggested in the article "Dynamic Ride Sharing: Theory and Practice", J. of Transp. Engr., 1997:308--312). What is the probability that the number of drivers will
- (a) Be at most $10$ ?
- (b) Exceed $20$ ?
- (c) Between $10$ and $20$, inclusive? Be strictly between $10$ and $20$ ?
- (d) Exceed the mean number by more than two standard deviations?