4-68. The demand for water use in Phoenix in 2003 hit a high of about 2150 million liters per day on June 27, 2003 (http:// nhoenix.gov/WATER/wtrfacts.html). Water use in the summer is normally distributed with a mean of 1170 million liters per day and a standard deviation of 170 million liters per day. City reservoirs have a combined storage capacity of nearly 1320 million liters.
4-68. The demand for water use in Phoenix in 2003 hit a high of about 2150 million liters per day on June 27, 2003 (http:// nhoenix.gov/WATER/wtrfacts.html). Water use in the summer is normally distributed with a mean of 1170 million liters per day and a standard deviation of 170 million liters per day. City reservoirs have a combined storage capacity of nearly 1320 million liters.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Contingency Table
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
Q.4-68
![(b) What thickness is exceeded by 95% of the samples?
(c) If the specifications require that the thickness is between
4-68. The demand for water use in Phoenix in 2003 hit a high
38 cm and 1.44 cm, what proportion of the samples meets
specifications?
ehout 2150 million liters per day on June 27, 2003 (http://
phoenix.gov/WATER/wtrfacts.html). Water use in the summer
e normally distributed with a mean of 1170 million liters per
day and a standard deviation of 170 million liters per day. City
reservoirs have a combined storage capacity of nearly 1320
million liters.
(a) What is the probability that a day requires more water than
is stored in city reservoirs?
(b) What reservoir capacity is needed so that the probability
that it is exceeded is 1%?
otort to doss
(c) What amount of water use is exceeded with 95% probability?
(d) Water is provided to approximately 1.4 million people.
What is the mean daily consumption per person at which
the probability that the demand exceeds the current reser-
voir capacity is 1%? Assume that the standard deviation of
aid 00S.01
4-69. The life of a semiconductor laser at a constant power is
hormally distributed with a mean of 7000 hours and a standard
A 88-A
demand remains the same.
deviation of 600 hours.
(a) What is the probability that a laser fails before 6000 hours?
(b) What is the life in hours that 95% of the lasers exceed?
(c) If three lasers are used in a product and they are assumed to
fail independently, what is the probability that all three are
nting after7000 hours?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F001f6a2b-45f0-44db-96ba-8735199dcb49%2F328385e2-c6df-4f00-8ad4-c48aa26b9d84%2Fi39crn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) What thickness is exceeded by 95% of the samples?
(c) If the specifications require that the thickness is between
4-68. The demand for water use in Phoenix in 2003 hit a high
38 cm and 1.44 cm, what proportion of the samples meets
specifications?
ehout 2150 million liters per day on June 27, 2003 (http://
phoenix.gov/WATER/wtrfacts.html). Water use in the summer
e normally distributed with a mean of 1170 million liters per
day and a standard deviation of 170 million liters per day. City
reservoirs have a combined storage capacity of nearly 1320
million liters.
(a) What is the probability that a day requires more water than
is stored in city reservoirs?
(b) What reservoir capacity is needed so that the probability
that it is exceeded is 1%?
otort to doss
(c) What amount of water use is exceeded with 95% probability?
(d) Water is provided to approximately 1.4 million people.
What is the mean daily consumption per person at which
the probability that the demand exceeds the current reser-
voir capacity is 1%? Assume that the standard deviation of
aid 00S.01
4-69. The life of a semiconductor laser at a constant power is
hormally distributed with a mean of 7000 hours and a standard
A 88-A
demand remains the same.
deviation of 600 hours.
(a) What is the probability that a laser fails before 6000 hours?
(b) What is the life in hours that 95% of the lasers exceed?
(c) If three lasers are used in a product and they are assumed to
fail independently, what is the probability that all three are
nting after7000 hours?
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