The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.47. 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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The time (in minutes) between arrivals of customers to a
post office is to be modelled by the Exponential
distribution with mean 0.47.
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 0.47. 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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