PROBABILITY AND STATISTICS FOR ENGINEER
9th Edition
ISBN: 2818000048605
Author: WALPOLE
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 2.7, Problem 112RE
To determine
Find the number of selections of 9 apples is possible when 3 of each color are to be selected.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A public health researcher is studying the impacts of nudge marketing techniques on shoppers vegetables
The 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.
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.
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
- Wind 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_forwardIt 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_forward
- A 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_forwardAccording 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_forward
- Let 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_forwardAn editor wants to analyze if there is a significant difference in the ratings of books in four different genres. Random samples of book ratings were collected for four different genres. The editor recorded ratings in a 0 to 10 scale in the following table. Fiction Novel Biography Science&Technology 8.5 8.4 6.2 9.1 5.3 5.3 5.5 4.3 7.7 4.2 7.0 9.7 5.1 9.8 9.3 5.2 6.9 8.6 6.7 7.9 4.8 7.1 6.9 8.4 Shall we reject or not reject the claim that there are no differences among the population means of book ratings for the different genres? Use.arrow_forward
- Peggy conducted a study to identify the randomness of rainy days in fall. For 15 days, she recorded whether it rained that day or not. They denoted a rainy day with the letter R, a day without rain with the letter N. R N N R R N N R R N N R R R R Test the sequence for randomness. Use .arrow_forwardConsider the grades for the math and history exams for 10 students on a scale from 0 to 12 in the following table. Student Math History 1 4 8 2 5 9 3 7 9 4 12 10 5 10 8 6 8 5 7 9 6 8 9 6 9 11 9 10 7 10 Compute the Spearman correlation coefficient. Round your answer to three decimal places.arrow_forwardTo compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow: Twin Pair 1 2 3 4 5 6 School A 169 157 115 99 119 113 School B 123 157 112 99 121 122 Twin Pair 7 8 9 10 11 12 School A 120 121 124 145 138 117 School B 153 90 124 140 142 102 Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…arrow_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
12. Searching and Sorting; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=6LOwPhPDwVc;License: Standard YouTube License, CC-BY
Algorithms and Data Structures - Full Course for Beginners from Treehouse; Author: freeCodeCamp.org;https://www.youtube.com/watch?v=8hly31xKli0;License: Standard Youtube License