Autos arrive at a toll plaza located at the entrance to a bridge at a rate of

2020

per minute during the 5:00-to-6:00 P.M. hour. Determine the following probabilities assuming that an auto has just arrived.

a. What is the probability that the next auto will arrive within

33

seconds

(0.050.05

minute)?

b. What is the probability that the next auto will arrive within

22

secondsseconds

(0.03330.0333

minute)?

c. What are the answers to (a) and (b) if the rate of arrival of autos is

6060

per minute?

d. What are the answers to (a) and (b) if the rate of arrival of autos is

3030

per minute?