13. Cars arrive at a petrol station at an average rate of 48 per hour. Assuming that the number of cars arriving at the petrol station follows a Poisson Distribution, find the probability that: a. No cars arrive in a particular 5-minute period b. More than 3 cars arrive in a particular 5-minute period c. More than 10 cars arrive in a particular 10-minute period.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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13. Cars arrive at a petrol station at an average rate of 48 per hour.
Assuming that the number of cars arriving at the petrol station follows a
Poisson Distribution, find the probability that:
a. No cars arrive in a particular 5-minute period
b. More than 3 cars arrive in a particular 5-minute period
c. More than 10 cars arrive in a particular 10-minute period.
Transcribed Image Text:13. Cars arrive at a petrol station at an average rate of 48 per hour. Assuming that the number of cars arriving at the petrol station follows a Poisson Distribution, find the probability that: a. No cars arrive in a particular 5-minute period b. More than 3 cars arrive in a particular 5-minute period c. More than 10 cars arrive in a particular 10-minute period.
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