A car service center guarantees that the maximum waiting time for its customers is 20 minutes for a cleaning service. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a discount on the charges. It is assumed that the mean waiting time for all cars which waited for the cleaning service at this center is 16 minutes and the standard deviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows a normal distribution. (a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show the relevant area both under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait more than 15 minutes? (c) What percentage of customers will be eligible for the discount?
A car service center guarantees that the maximum waiting time for its customers is 20 minutes for a cleaning service. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a discount on the charges. It is assumed that the mean waiting time for all cars which waited for the cleaning service at this center is 16 minutes and the standard deviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows a normal distribution. (a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show the relevant area both under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait more than 15 minutes? (c) What percentage of customers will be eligible for the discount?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 9SGR
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Transcribed Image Text:Course: Introduction to Statistics (Bus-172)
Answer all the questions.
Question: 1
A car service center guarantees that the maximum waiting time for its customers is 20 minutes
for a cleaning service. It also guarantees that any customer who has to wait longer than 20
minutes for this service will receive a discount on the charges. It is assumed that the mean waiting
time for all cars which waited for the cleaning service at this center is 16 minutes and the standard
deviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows a
normal distribution.
(a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show the
relevant area both under the normal curve including standard normal scale.
(b) What is the probability that a randomly selected customer will have to wait more than 15
minutes?
(c) What percentage of customers will be eligible for the discount?
Formulae:
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Hp = p, Op =
z =
z =
P - Hp
z =
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