At a train station, there are 7 ticket vending machines. Customers waiting line to buy tickets from one of the machines. It is observed that the interarrival time is exponentially distributed with its mean equal to 2.0 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, what is the total number of customers at the ticket vending site (including those waiting in the line and those buying tickets)? Note: Round your answer to two decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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At a train station, there are 7 ticket vending machines. Customers form a single
waiting line to buy tickets from one of the machines. It is observed that the
interarrival time is exponentially distributed with its mean equal to 2.0 minutes. On
average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of
the time estimated as 4 minutes.
On average, what is the total number of customers at the ticket vending site
(including those waiting in the line and those buying tickets)?
Note: Round your answer to two decimal places.
Transcribed Image Text:At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy tickets from one of the machines. It is observed that the interarrival time is exponentially distributed with its mean equal to 2.0 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, what is the total number of customers at the ticket vending site (including those waiting in the line and those buying tickets)? Note: Round your answer to two decimal places.
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