Need help with A-D

Autos arrive at a toll plaza located at the entrance to a bridge at a rate of 10 per minute during the5:00-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 3 seconds (0.05 minute)?

b. What is the probability that the next auto will arrive within 1 second (0.0167 minute)?

c. What are the answers to(a) and(b) if the rate of arrival of autos is 60 perminute?

d. What are the answers to(a) and(b) if the rate of arrival of autos is 30 perminute?

a. The probability that the next auto will arrive within 3 seconds is

nothing

.

(Round to four decimal places asneeded.)