Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4.3, Problem 17E
a.
To determine
Find the probability that arrives by 9:00 A.M.
b.
To determine
Find the value of
c.
To determine
Find the value of
d.
To determine
Find the value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Can you answer this question for me
Techniques QUAT6221 2025 PT B...
TM
Tabudi Maphoru
Activities Assessments Class Progress lIE Library • Help v
The table below shows the prices (R) and quantities (kg) of rice, meat and potatoes items bought during 2013 and 2014:
2013
2014
P1Qo
PoQo
Q1Po P1Q1
Price
Ро
Quantity
Qo
Price
P1
Quantity
Q1
Rice
7
80
6
70
480
560
490
420
Meat
30
50
35
60
1 750
1 500
1 800
2 100
Potatoes
3
100
3
100
300
300
300
300
TOTAL
40
230
44
230
2 530
2 360
2 590
2 820
Instructions:
1 Corall dawn to tha bottom of thir ceraan urina se se tha haca nariad in archerca antarand cubmit
Q Search
ENG US
口X
2025/05
The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month.
Years of Experience (x)
Number of Goods (y)
11
63
5
57
1
48
4
54
45
3
51
Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set.
Do NOT change the units for the variables.
X
y
X2
xy
Ex=
Ey=
EX2
EXY=
Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience.
Q.1.3 Using your calculator, determine the coefficient of correlation for the data set.
Interpret your answer.
Q.1.4 Compute the coefficient of determination for the data set.
Interpret your answer.
Chapter 4 Solutions
Applied Statistics and Probability for Engineers
Ch. 4.2 - 4-1. Suppose that f(x) = e−x for 0 < x. Determine...Ch. 4.2 - 4-2. Suppose that f (x) = 3(8x – x2)/256 for 0< x...Ch. 4.2 - 4-3. Suppose that f (x) = 0.5 cos x for −π/2 < x <...Ch. 4.2 - Prob. 4ECh. 4.2 - 4-5. Go Tutorial Suppose that for 3 < x < 5....Ch. 4.2 - Prob. 6ECh. 4.2 - 4-7. Suppose that f(x) = 1 .5x2 for −1 < x < 1....Ch. 4.2 - 4-8. The probability density function of the time...Ch. 4.2 - 4-9. The probability density function of the net...Ch. 4.2 - Prob. 10E
Ch. 4.2 - 4-11. The probability density function of the...Ch. 4.2 - Prob. 12ECh. 4.2 - 4-13. A test instrument needs to be calibrated...Ch. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.3 - 4-17. Suppose that the cumulative distribution...Ch. 4.3 - 4-18. Suppose that the cumulative distribution...Ch. 4.3 - 4-19. Determine the cumulative distribution...Ch. 4.3 - Prob. 20ECh. 4.3 - 4-21. Determine the cumulative distribution...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - 4-24. Determine the cumulative distribution...Ch. 4.3 - 4-25. Determine the cumulative distribution...Ch. 4.3 - 4-26. The probability density function of the time...Ch. 4.3 - 4-27. The gap width is an important property of a...Ch. 4.3 - Determine the probability density function for...Ch. 4.3 - Determine the probability density function for...Ch. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 33ECh. 4.4 - 4-35. Suppose that f(x) = 0.25 for 0 < x < 4....Ch. 4.4 - 4-36. Suppose that f(x) = 0.125x for 0 < x < 4....Ch. 4.4 - 4-37. Suppose that f(x) = 1.5x2 for −1< x < 1....Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - 4.42 Determine the mean and variance of the random...Ch. 4.4 - Prob. 43ECh. 4.4 - 4-45. Suppose that contamination particle size (in...Ch. 4.4 - 4-46. Suppose that the probability density...Ch. 4.4 - 4-47. The thickness of a conductive coating in...Ch. 4.4 - 4-48. The probability density function of the...Ch. 4.4 - Prob. 49ECh. 4.5 - 4-50. Suppose that X has a continuous uniform...Ch. 4.5 - 4-51. Suppose X has a continuous uniform...Ch. 4.5 - 4-52. The net weight in pounds of a packaged...Ch. 4.5 - 4-53. The thickness of a flange on an aircraft...Ch. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - 4-56. An adult can lose or gain two pounds of...Ch. 4.5 - 4-57. A show is scheduled to start at 9:00 a.m.,...Ch. 4.5 - 4-58. The volume of a shampoo filled into a...Ch. 4.5 - 4-59. An e-mail message will arrive at a time...Ch. 4.5 - 4-60. Measurement error that is continuous and...Ch. 4.5 - 4-61. A beacon transmits a signal every 10 minutes...Ch. 4.5 - Prob. 62ECh. 4.6 - 4-63. Use Appendix Table III to determine the...Ch. 4.6 - 4-64. Use Appendix Table III to determine the...Ch. 4.6 - 4-65. Assume that Z has a standard normal...Ch. 4.6 - 4-66. Assume that Z has a standard normal...Ch. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - 4-70. Assume that X is normally distributed with a...Ch. 4.6 - 4-71. The compressive strength of samples of...Ch. 4.6 - 4-72. The time until recharge for a battery in a...Ch. 4.6 - 4-73. An article in Knee Surgery Sports Traumatol...Ch. 4.6 - 4-74. Cholesterol is a fatty substance that is an...Ch. 4.6 - Prob. 75ECh. 4.6 - 4-76. The fill volume of an automated filling...Ch. 4.6 - 4-77. In the previous exercise, suppose that the...Ch. 4.6 - 4-78. A driver’s reaction time to visual stimulus...Ch. 4.6 - 4-79. The speed of a file transfer from a server...Ch. 4.6 - 4-80. In 2002, the average height of a woman aged...Ch. 4.6 - 4-81. In an accelerator center, an experiment...Ch. 4.6 - 4-82. The demand for water use in Phoenix in 2003...Ch. 4.6 - Prob. 83ECh. 4.6 - 4-84. The diameter of the dot produced by a...Ch. 4.6 - Prob. 85ECh. 4.6 - Prob. 86ECh. 4.6 - Prob. 87ECh. 4.6 - 4-88. A study by Bechtel et al., 2009, described...Ch. 4.6 - 4-89. An article in Atmospheric Chemistry and...Ch. 4.6 - 4-90. The length of stay at a specific emergency...Ch. 4.6 - Prob. 91ECh. 4.6 - 4-92. An article in Microelectronics Reliability...Ch. 4.6 - Prob. 93ECh. 4.6 - 4-94. An article in the Journal of Cardiovascular...Ch. 4.7 - 4-95. Suppose that X is a binomial random variable...Ch. 4.7 - 4-96. Suppose that X is a Poisson random variable...Ch. 4.7 - 4-97. Suppose that X has a Poisson distribution...Ch. 4.7 - 4-98. The manufacturing of semiconductor chips...Ch. 4.7 - 4-99. There were 49.7 million people with some...Ch. 4.7 - 4-100. Phoenix water is provided to approximately...Ch. 4.7 - 4-101. An electronic office product contains 5000...Ch. 4.7 - 4-102. A corporate Web site contains errors on 50...Ch. 4.7 - 4-103. Suppose that the number of asbestos...Ch. 4.7 - 4-104. A high-volume printer produces minor...Ch. 4.7 - 4-105. Hits to a high-volume Web site are assumed...Ch. 4.7 - 4-106. An acticle in Biometrics [“Integrative...Ch. 4.7 - 4-107. An article in Atmospheric Chemistry and...Ch. 4.7 - 4-108. A set of 200 independent patients take...Ch. 4.7 - Prob. 109ECh. 4.7 - 4-110. Cabs pass your workplace according to a...Ch. 4.7 - 4-111. The number of (large) inclusions in cast...Ch. 4.8 - 4-112. Suppose that X has an exponential...Ch. 4.8 - Prob. 113ECh. 4.8 - 4-114. Suppose that X has an exponential...Ch. 4.8 - 4-115. Suppose that the counts recorded by a...Ch. 4.8 - 4-116. Suppose that the log-ons to a computer...Ch. 4.8 - 4-117. The time between calls to a plumbing supply...Ch. 4.8 - 4-118. The life of automobile voltage regulators...Ch. 4.8 - 4-119. Suppose that the time to failure (in hours)...Ch. 4.8 - 4-120. The time between the arrival of electronic...Ch. 4.8 - 4-121. The time between arrivals of taxis at a...Ch. 4.8 - Prob. 122ECh. 4.8 - 4-123. According to results from the analysis of...Ch. 4.8 - 4-124. The distance between major cracks in a...Ch. 4.8 - 4-125. The lifetime of a mechanical assembly in a...Ch. 4.8 - 4-126. The time between arrivals of small aircraft...Ch. 4.8 - Prob. 127ECh. 4.8 - Prob. 128ECh. 4.8 - Prob. 129ECh. 4.8 - Prob. 130ECh. 4.8 - Prob. 131ECh. 4.8 - Prob. 132ECh. 4.8 - Prob. 133ECh. 4.8 - 4-134. Requests for service in a queuing model...Ch. 4.8 - 4-135. An article in Vaccine [“Modeling the...Ch. 4.8 - 4-136. An article in Ad Hoc Networks [“Underwater...Ch. 4.9 - 4-137. Use the properties of the gamma function to...Ch. 4.9 - Prob. 138ECh. 4.9 - 4-139. Calls to a telephone system follow a...Ch. 4.9 - Prob. 140ECh. 4.9 - Prob. 141ECh. 4.9 - Prob. 142ECh. 4.9 - Prob. 143ECh. 4.9 - Prob. 144ECh. 4.9 - Prob. 145ECh. 4.9 - Prob. 146ECh. 4.9 - Prob. 147ECh. 4.9 - 4-148. Use the result for the gamma distribution...Ch. 4.9 - Prob. 149ECh. 4.9 - 4-150. The total service time of a multistep...Ch. 4.9 - Prob. 151ECh. 4.9 - 4-152. An article in Mathematical Biosciences...Ch. 4.10 - Prob. 153ECh. 4.10 - Prob. 154ECh. 4.10 - Prob. 155ECh. 4.10 - Prob. 156ECh. 4.10 - Prob. 157ECh. 4.10 - 4-158. Assume that the life of a packaged magnetic...Ch. 4.10 - Prob. 159ECh. 4.10 - Prob. 160ECh. 4.10 - Prob. 162ECh. 4.10 - Prob. 163ECh. 4.10 - Prob. 164ECh. 4.10 - Prob. 165ECh. 4.10 - Prob. 167ECh. 4.10 - Prob. 168ECh. 4.10 - Prob. 169ECh. 4.11 - 4-170. Suppose that X has a lognormal distribution...Ch. 4.11 - Prob. 171ECh. 4.11 - 4-172. Suppose that X has a lognormal distribution...Ch. 4.11 - 4-173. The length of time (in seconds) that a user...Ch. 4.11 - 4-174. Suppose that X has a lognormal distribution...Ch. 4.11 - 4-175. The lifetime of a semiconductor laser has a...Ch. 4.11 - Prob. 176ECh. 4.11 - Prob. 177ECh. 4.11 - Prob. 178ECh. 4.11 - Prob. 179ECh. 4.11 - Prob. 180ECh. 4.11 - Prob. 181ECh. 4.11 - Prob. 182ECh. 4.11 - Prob. 183ECh. 4.12 - Prob. 184ECh. 4.12 - Prob. 185ECh. 4.12 - Prob. 186ECh. 4.12 - Prob. 187ECh. 4.12 - Prob. 188ECh. 4.12 - Prob. 189ECh. 4.12 - Prob. 190ECh. 4.12 - Prob. 191ECh. 4 - Prob. 192SECh. 4 - Prob. 193SECh. 4 - Prob. 194SECh. 4 - 4-195. + The length of an injection-molded plastic...Ch. 4 - 4-196. + The sick-leave time of employees in a...Ch. 4 - Prob. 197SECh. 4 - Prob. 198SECh. 4 - 4-199. + When a bus service reduces fares, a...Ch. 4 - Prob. 200SECh. 4 - Prob. 201SECh. 4 - Prob. 202SECh. 4 - Prob. 203SECh. 4 - Prob. 204SECh. 4 - 4-205. + The CPU of a personal computer has a...Ch. 4 - Prob. 206SECh. 4 - Prob. 207SECh. 4 - Prob. 208SECh. 4 - 4-209. + Without an automated irrigation system,...Ch. 4 - 4-210. With an automated irrigation system, a...Ch. 4 - Prob. 211SECh. 4 - Prob. 212SECh. 4 - Prob. 213SECh. 4 - Prob. 214SECh. 4 - Prob. 215SECh. 4 - Prob. 216SECh. 4 - 4-217. + A square inch of carpeting contains 50...Ch. 4 - Prob. 218SECh. 4 - Prob. 219SECh. 4 - 4-221. Consider the regional right ventricle...Ch. 4 - Prob. 222SECh. 4 - Prob. 223SECh. 4 - Prob. 224SECh. 4 - Prob. 225SECh. 4 - Prob. 226SECh. 4 - Prob. 227SECh. 4 - Prob. 228SECh. 4 - Prob. 229SECh. 4 - Prob. 230SECh. 4 - Prob. 231SECh. 4 - Prob. 232SECh. 4 - Prob. 233SECh. 4 - 4-234. A process is said to be of six-sigma...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Q.3.2 A sample of consumers was asked to name their favourite fruit. The results regarding the popularity of the different fruits are given in the following table. Type of Fruit Number of Consumers Banana 25 Apple 20 Orange 5 TOTAL 50 Draw a bar chart to graphically illustrate the results given in the table.arrow_forwardQ.2.3 The probability that a randomly selected employee of Company Z is female is 0.75. The probability that an employee of the same company works in the Production department, given that the employee is female, is 0.25. What is the probability that a randomly selected employee of the company will be female and will work in the Production department? Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardQ.2.1 A bag contains 13 red and 9 green marbles. You are asked to select two (2) marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be the same colour? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports watch: PREFERRED BRAND OF SPORTS WATCH Samsung Apple Garmin TOTAL No. of Females 30 100 40 170 No. of Males 75 125 80 280 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Garmin? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? Q.2.2.3 What is the probability of randomly…arrow_forward
- Test the claim that a student's pulse rate is different when taking a quiz than attending a regular class. The mean pulse rate difference is 2.7 with 10 students. Use a significance level of 0.005. Pulse rate difference(Quiz - Lecture) 2 -1 5 -8 1 20 15 -4 9 -12arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. D. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? I leave the answers to A and B to resolve the remaining two. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8 A. Measures of Central Tendency We are to calculate: Mean, Median, Mode The data (already ordered) is: 0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9, 11.1, 11.1, 11.6, 11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…arrow_forwardPEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forward
- In a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. Is this average hourly wage considered representative?arrow_forwardThe following is a list of questions answered correctly on an exam. Calculate the Measures of Central Tendency from the ungrouped data list. NUMBER OF QUESTIONS ANSWERED CORRECTLY ON AN APTITUDE EXAM 112 72 69 97 107 73 92 76 86 73 126 128 118 127 124 82 104 132 134 83 92 108 96 100 92 115 76 91 102 81 95 141 81 80 106 84 119 113 98 75 68 98 115 106 95 100 85 94 106 119arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency using the table in point B. B. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forward
- In a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. a) Determine the average hourly wage. b) In part a), is the same answer obtained if the 60 employees have an average wage of $10.00 per hour? Prove your answer.arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forwardBusinessarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License