Question

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

Autos arrive at a toll plaza located at the entrance to a bridge at a rate of 50 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 6 seconds ​(0.1 ​minute)?

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

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

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

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