The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.59. Please give your answers to two decimal places. 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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Please answer all parts and round your answers to 5th decimal place. Thank you!
The time (in minutes) between arrivals of customers to a post office is to be modelled
by the Exponential distribution with mean 0.59. Please give your answers to two
decimal places.
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 0.59. Please give your answers to two decimal places. 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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