PROBABILITY AND STATISTICS FOR ENGINEER
9th Edition
ISBN: 2818000048599
Author: WALPOLE
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2.7, Problem 122RE
(a)
To determine
Find the
(b)
To determine
Find the probability that three are defective from the four items.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Apply STATA commands & submit the output for each question
only when indicated below
i. Apply the command egen to create a variable called "wyd"
which is the rowtotal function on variables bwght & faminc.
ii. Apply the list command for the first 10 observations to
show that the code in part i worked. Include the outcome of
this code
iii. Apply the egen command to create a new variable called
"bwghtsum" using the sum function on variable bwght by
the variable high_faminc (Note: need to apply the bysort'
statement)
iv. Apply the "by high_faminc" statement to find the
V.
descriptive statistics of bwght and bwghtsum Include the
output of this code.
Why is there a difference between the standard deviations
of bwght and bwghtsum from part iv of this question?
According to a health information website, the distribution of adults’ diastolic blood pressure (in millimeters of mercury, mmHg) can be modeled by a normal distribution with mean 70 mmHg and standard deviation 20 mmHg.
b. Above what diastolic pressure would classify someone in the highest 1% of blood pressures? Show all calculations used.
Write STATA codes which will generate the outcomes in the questions
& submit the output for each question only when indicated below
i.
ii.
iii.
iv.
V.
Write a code which will allow STATA to go to your favorite folder
to access your files. Load the birthweight1.dta dataset from your
favorite folder and save it under a different filename to protect
data integrity. Call the new dataset babywt.dta (make sure to use
the replace option).
Verify that it contains 2,998 observations and 8 variables. Include
the output of this code.
Are there missing observations for variable(s) for the variables
called bwght, faminc, cigs? How would you know? (You may use
more than one code to show your answer(s)) Include the output
of your code (s).
Write the definitions of these variables: bwght, faminc, male,
white, motheduc,cigs; which of these variables are categorical?
[Hint: use the labels of the variables & the browse command]
Who is this dataset about? Who can use this dataset to answer
what kind of…
Chapter 2 Solutions
PROBABILITY AND STATISTICS FOR ENGINEER
Ch. 2.2 - List the elements of each of the following sample...Ch. 2.2 - Use the rule method to describe the sample space S...Ch. 2.2 - Which of the following events are equal?
A = {1,...Ch. 2.2 - An experiment involves tossing a pair of dice, one...Ch. 2.2 - Prob. 5ECh. 2.2 - Two jurors are selected from 4 alternates to serve...Ch. 2.2 - Prob. 7ECh. 2.2 - For the sample space of Exercise 2.4,
list the...Ch. 2.2 - Prob. 9ECh. 2.2 - Prob. 10E
Ch. 2.2 - Prob. 11ECh. 2.2 - Exercise and diet are being studied as possible...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Consider the sample space S = {copper, sodium,...Ch. 2.2 - If S = {x | 0 < x < 12}, M = {x | 1 < x < 9}, and...Ch. 2.2 - Prob. 17ECh. 2.2 - Which of the following pairs of events are...Ch. 2.2 - Prob. 19ECh. 2.2 - Referring to Exercise 2.19 and the Venn diagram of...Ch. 2.3 - Registrants at a large convention are offered 6...Ch. 2.3 - In a medical study, patients are classified in 8...Ch. 2.3 - Prob. 23ECh. 2.3 - Students at a private liberal arts college are...Ch. 2.3 - A certain brand of shoes comes in 5 different...Ch. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - A drug for the relief of asthma can be purchased...Ch. 2.3 - Prob. 29ECh. 2.3 - In how many different ways can a true-false...Ch. 2.3 - A witness to a hit-and-run accident told the...Ch. 2.3 - In how many ways can 6 people be lined upto get on...Ch. 2.3 - If a multiple-choice test consists of 5 questions,...Ch. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - In a regional spelling bee, the 8 finalists...Ch. 2.3 - In how many ways can 5 starting positions on a...Ch. 2.3 - Find the number of ways that 6 teachers can be...Ch. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - In how many ways can a caravan of 8 covered wagons...Ch. 2.3 - Prob. 45ECh. 2.3 - In how many ways can 3 oaks, 4 pines, and 2 maples...Ch. 2.3 - How many ways are there to select 3 candidates...Ch. 2.3 - How many ways are there that no two students will...Ch. 2.5 - Find the errors in each of the following...Ch. 2.5 - Prob. 50ECh. 2.5 - A box contains 500 envelopes, of which 75...Ch. 2.5 - Suppose that in a senior college class of 500...Ch. 2.5 - The probability that an American industry will...Ch. 2.5 - From past experience, a stockbroker believes that...Ch. 2.5 - If each coded item in a catalog begins with 3...Ch. 2.5 - An automobile manufacturer is concerned about a...Ch. 2.5 - Prob. 57ECh. 2.5 - A pair of fair dice is tossed. Find the...Ch. 2.5 - In a poker hand consisting of 5 cards, find the...Ch. 2.5 - If 3 books are picked at random from a shelf...Ch. 2.5 - In a high school graduating class of 100 students,...Ch. 2.5 - Prob. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Interest centers around the life of an electronic...Ch. 2.5 - Prob. 65ECh. 2.5 - Factory workers are constantly encouraged to...Ch. 2.5 - Consider the situation of Example 2.32 on page...Ch. 2.5 - Interest centers around the nature of an oven...Ch. 2.5 - Prob. 69ECh. 2.5 - Prob. 70ECh. 2.5 - As the situation of Exercise 2.69 might suggest,...Ch. 2.5 - Prove that
P(A′ ∩ B′) = 1+P(A ∩ B) − P(A) − P(B).
Ch. 2.6 - If R is the event that a convict committed armed...Ch. 2.6 - Prob. 74ECh. 2.6 - A random sample of 200 adults are classified below...Ch. 2.6 - In an experiment to study the relationship of...Ch. 2.6 - In the senior year of a high school graduating...Ch. 2.6 - A manufacturer of a flu vaccine is concerned about...Ch. 2.6 - In USA Today (Sept. 5, 1996), the results of a...Ch. 2.6 - Prob. 80ECh. 2.6 - Prob. 81ECh. 2.6 - For married couples living in a certain suburb,...Ch. 2.6 - The probability that a vehicle entering the Luray...Ch. 2.6 - The probability that the head of a household is...Ch. 2.6 - The probability that a doctor correctly diagnoses...Ch. 2.6 - In 1970, 11% of Americans completed four years of...Ch. 2.6 - A real estate agent has 8 master keys to open...Ch. 2.6 - Before the distribution of certain statistical...Ch. 2.6 - A town has two fire engines operating...Ch. 2.6 - Prob. 90ECh. 2.6 - Find the probability of randomly selecting 4 good...Ch. 2.6 - Prob. 92ECh. 2.6 - A circuit system is given in Figure 2.11. Assume...Ch. 2.6 - Prob. 94ECh. 2.7 - In a certain region of the country it is known...Ch. 2.7 - Police plan to enforce speed limits by using...Ch. 2.7 - Referring to Exercise 2.95, what is the...Ch. 2.7 - If the person in Exercise 2.96 received a speeding...Ch. 2.7 - Suppose that the four inspectors at a film factory...Ch. 2.7 - A regional telephone company operates three...Ch. 2.7 - A paint-store chain produces and sells latex and...Ch. 2.7 - Prob. 102ECh. 2.7 - Prob. 103RECh. 2.7 - An allergist claims that 50% of the patients she...Ch. 2.7 - Prob. 105RECh. 2.7 - Prob. 106RECh. 2.7 - Prob. 107RECh. 2.7 - Prob. 108RECh. 2.7 - A large industrial firm uses three local motels to...Ch. 2.7 - The probability that a patient recovers from a...Ch. 2.7 - Prob. 111RECh. 2.7 - Prob. 112RECh. 2.7 - Prob. 113RECh. 2.7 - Prob. 114RECh. 2.7 - A certain federal agency employs three consulting...Ch. 2.7 - A manufacturer is studying the effects of cooking...Ch. 2.7 - Prob. 117RECh. 2.7 - A certain form of cancer is known to be found in...Ch. 2.7 - A producer of a certain type of electronic...Ch. 2.7 - Prob. 120RECh. 2.7 - Prob. 121RECh. 2.7 - Prob. 122RECh. 2.7 - Prob. 123RECh. 2.7 - Prob. 124RECh. 2.7 - A survey of those using a particular statistical...Ch. 2.7 - During bad economic times, industrial workers are...Ch. 2.7 - There is a 50-50 chance that the queen carries the...
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
- Apply STATA commands & submit the output for each question only when indicated below İ. ii. iii. iv. V. Apply the command summarize on variables bwght and faminc. What is the average birthweight of babies and family income of the respondents? Include the output of this code. Apply the tab command on the variable called male. How many of the babies and what share of babies are male? Include the output of this code. Find the summary statistics (i.e. use the sum command) of the variables bwght and faminc if the babies are white. Include the output of this code. Find the summary statistics (i.e. use the sum command) of the variables bwght and faminc if the babies are male but not white. Include the output of this code. Using your answers to previous subparts of this question: What is the difference between the average birthweight of a baby who is male and a baby who is male but not white? What can you say anything about the difference in family income of the babies that are male and male…arrow_forwardA public health researcher is studying the impacts of nudge marketing techniques on shoppers vegetablesarrow_forwardThe director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 0.5 1,400 0.4 1,300 0.1 Click here for the Excel Data File Required: What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. Note: Round your standard deviation to 2 decimal places.arrow_forward
- A pollster randomly selected four of 10 available people. Required: How many different groups of 4 are possible? What is the probability that a person is a member of a group? Note: Round your answer to 3 decimal places.arrow_forwardWind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations. Test given. Site I Site II Site III 63 19 60 43 34 21 23 49 51 48 11 15 16 46 26 20 31 Find .arrow_forwardRothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 4.46 4.21 4.40 4.81 2.81 2.90 4.93 3.54 4.16 4.48 3.26 4.74 4.97 4.02 4.91 2.59 Use a calculator to verify that the sample variance for this plot is . Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.89 3.81 3.95 4.07 4.01 3.73 4.02 3.78 3.72 3.96 3.62 3.76 4.02 3.73 3.94 4.03 Use a calculator to verify that the sample variance for this plot is . Suppose that we test the claim using that the population variance of annual wheat production for the first plot is larger…arrow_forward
- It is thought that prehistoric Native Americans did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.00 6.75 7.00 7.75 y 37 38 92 70 99 Find the equation of the least squares line . Round a and b to three decimal places.arrow_forwardA fitness trainer wants to estimate the effect of fitness activities on muscle mass for different weight categories of club members. They choose the most popular fitness classes at the gym: yoga, circuit training, and high-intensity interval training (HIIT). Suppose that the weights of club members are separated into three levels: under 155 pounds, 155 – 200 pounds, and over 200 pounds. Draw a flow chart showing the design of this experiment.arrow_forwardThe systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x 1 15 154.14 154.34 154.14 3.842 0.992000 x 2 15 59.69 60.19 59.69 1.462 0.377487 x 3 15 205.55 204.75 205.55 4.558 1.176871 Variable Minimum Maximum Q1 Q3 x 1 125 178 141.803 167.244 x 2 41 80 47.754 78.415 x 3 126 240 140.395 224.008 Correlations (Pearson) x 1 x 2 x 2 0.892 x 3 0.839 0.567 Regression Analysis The regression equation is x 1 = 0.883 + 1.257x2 + 0.871x3 Predictor Coef StDev T P Constant 0.883 0.635 1.39 0.095 x 2 1.257 0.635 1.98 0.036 x 3 0.871 0.419 2.08 0.030 S = 0.428 R-sq = 92.7 %…arrow_forward
- According to health professionals, a person’s weight is expected to increase with age. To examine that statement, a nutritionist collected data from 11 random females from different age categories between the ages of 21 and 43. In the following table, x is the age of a person and y is the weight in pounds. x, age 21 24 27 29 31 33 35 38 40 42 43 y, weight in lb 121.4 122.3 130.3 131.7 133.3 134.6 136.7 138.4 140.3 142.0 145.1 Select the correct graph of the least-squares line on a scatter diagram.arrow_forwardLet x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 82 69 73 84 74 64 y 42 48 46 46 46 42 Verify that ∑x =446, ∑y =270, ∑x2 =33,442, ∑y2 =12,180, ∑xy =20,070, and r = 0, and find the critical value for a test using a 5% level of significance claiming that ρis not equal than zero. Round your answer to three decimal places.arrow_forwardLet x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 75 72 75 81 74 81 y 46 39 42 47 49 50 Verify that Se ࣈ 3.591,a ࣈ –10.145, bࣈ0.729, and , and find the predicted percentage of successful field goals for a player with x= 88%successful free throws. Round your answer to the nearest tenth of a percentarrow_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