The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.6. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.6.
Part a)
What is the probability that the time between consecutive customers is less than 15 seconds?
Part b)
Find the probability that the time between consecutive customers is between ten and fifteen seconds.
Part c)
Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
Transcribed Image Text:The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.6. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
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