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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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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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