In: Statistics and Probability
7. (9 pts.) On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent.
(a ) What is the distribution of X ?
(b) What is the probability of observing exactly two emergency arrivals?
(c) What is the probability of observing more than two emergency arrivals?