Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
8th Edition
ISBN: 9781259676512
Author: Kenneth H Rosen
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 33SE
To determine
To define:
What it means for a matching to be female optimal and for a matching to be male pessimal.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Elementary and high school teachers were surveyed and were asked if they felt rewarded and satisfied with their jobs. Of the 350 elementary school teachers, 142 said they were satisfied with their jobs. Of the 243 high school teachers, 119 said they were satisfied with their jobs. Because of the number of students in elementary classrooms, it is believed that the proportion of elementary school teachers satisfied with their jobs is less than the proportion of high school teachers who are satisfied with their jobs.
Let
population 1=proportion of elementary school teachers satisfied with their jobs
population 2=proportion of high school teachers satisfied with their jobs
1. What is the alternative hypothesis?
2. What best describes the hypothesis test to be performed?
3. What is the value of the test statistic? Use 2 decimal places
4. What is the critical value if a 0.01 significance level is used?
Group I nesting boxes were well separated from each other and well hidden by availablebrush. There were a total of 480 eggs in group I, of which a field count showed about275 hatched. Group II nesting boxes were placed in highly visible locations and groupedclosely together. There were a total of 874 eggs in group II boxes, of which a field countshowed about 272 hatched. Find a point estimate ˆp1 and ˆp2 for the proportion of eggsthat hatch in group I nest boxes and group II nest boxes. Let p1 and p2 be the populationproportion of hatched count in boxes I and II respectively. Find a 99% confidence intervalfor p1 − p2.(a) List the given information with appropriate symbols.(b) What is the probability distribution of ˆp1−pˆ2, difference between sample proportions?(c) Write the expression for the population mean of ˆp1 − pˆ2 distribution. Use propersymbols.
(d) Find the population standard deviation of ˆp1 − pˆ2 distribution. Use proper mathematical symbols.(e) Find the margin of error of…
For the year 2017, 90% adults in the U.S. population aged 25 and older had completed high school. The attainment of a bachelor’s degree or higher for the same population stood at 34%. Assuming, that one must complete their high school before studying for their bachelor's, with H denoting those who have completed high school and B those who have completed their bachelors, draw a decision tree to help you find the following:
P(H)
(B|H)
P (H and B)
P (Hand B’)
Source: High School Completion Rate Is Highest in U.S. History
Chapter 3 Solutions
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
Ch. 3.1 - List all the steps used by Algorithm 1 to find the...Ch. 3.1 - Determine which characteristics of an algorithm...Ch. 3.1 - Devise an algorithm that finds the sum of all the...Ch. 3.1 - Describe an algorithm that takes as input a list...Ch. 3.1 - Describe an algorithm that takes as input a list...Ch. 3.1 - Describe an algorithm that takes as input a list...Ch. 3.1 - Describe an algorithm that takes as input a list...Ch. 3.1 - Describe an algorithm that takes as input a list...Ch. 3.1 - Apalindromeis a string that reads the same forward...Ch. 3.1 - Devise an algorithm to computexn, wherexis a real...
Ch. 3.1 - Describe an algorithm that interchanges the values...Ch. 3.1 - cribe an algorithm that uses only assignment...Ch. 3.1 - List all the steps used to search for 9 in the...Ch. 3.1 - List all the steps used to search for 7 in the...Ch. 3.1 - cribe an algorithm that inserts an integerxin the...Ch. 3.1 - Describe an algorithm for finding the smallest...Ch. 3.1 - Describe an algorithm that locates the first...Ch. 3.1 - Describe an algorithm that locates the last...Ch. 3.1 - Describe an algorithm that produces the maximum,...Ch. 3.1 - Describe an algorithm for finding both the largest...Ch. 3.1 - Describe an algorithm that puts the first three...Ch. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Describe an algorithm that determines whether a...Ch. 3.1 - Describe an algorithm that will count the number...Ch. 3.1 - nge Algorithm 3 so that the binary search...Ch. 3.1 - Theternary search algorithmlocates an element in a...Ch. 3.1 - Specify the steps of an algorithm that locates an...Ch. 3.1 - Devise an algorithm that finds a mode in a list of...Ch. 3.1 - Devise an algorithm that finds all modes. (Recall...Ch. 3.1 - Two strings areanagramsif each can be formed from...Ch. 3.1 - ennreal numbersx1,x2,...,xn , find the two that...Ch. 3.1 - Devise an algorithm that finds the first term of a...Ch. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Use the bubble sort to sort 6, 2, 3, 1, 5, 4,...Ch. 3.1 - Use the bubble sort to sort 3, 1, 5, 7, 4, showing...Ch. 3.1 - Use the bubble sort to sortd,f,k,m,a,b, showing...Ch. 3.1 - Adapt the bubble sort algorithm so that it stops...Ch. 3.1 - Use the insertion sort to sort the list in...Ch. 3.1 - Use the insertion sort to sort the list in...Ch. 3.1 - Use the insertion sort to sort the list in...Ch. 3.1 - Sort these lists using the selection sort....Ch. 3.1 - Write the selection sort algorithm in pseudocode.Ch. 3.1 - Describe an algorithm based on the linear search...Ch. 3.1 - Describe an algorithm based on the binary search...Ch. 3.1 - How many comparisons does the insertion sort use...Ch. 3.1 - How many comparisons does the insertion sort use...Ch. 3.1 - Show all the steps used by the binary insertion...Ch. 3.1 - Compare the number of comparisons used by the...Ch. 3.1 - Prob. 51ECh. 3.1 - Devise a variation of the insertion sort that uses...Ch. 3.1 - Prob. 53ECh. 3.1 - List all the steps the naive string matcher uses...Ch. 3.1 - List all the steps the naive string matcher uses...Ch. 3.1 - Use the cashier’s algorithm to make change using...Ch. 3.1 - Use the cashier’s algorithm to make change using...Ch. 3.1 - Use the cashier’s algorithm to make change using...Ch. 3.1 - Prob. 59ECh. 3.1 - Show that if there were a coin worth 12 cents, the...Ch. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Devise a greedy algorithm that determines the...Ch. 3.1 - Suppose we have three menm1,m2, andm3and three...Ch. 3.1 - Write the deferred acceptance algorithm in...Ch. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prove that the Boyer-Moore majority vote algorithm...Ch. 3.1 - Show that the problem of determining whether a...Ch. 3.1 - Prob. 71ECh. 3.1 - Show that the problem of deciding whether a...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Prob. 11ECh. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - Exercises 1—14, to establish a big-Orelationship,...Ch. 3.2 - ermine whetherx3isO(g(x))for each of these...Ch. 3.2 - Explain what it means for a function to be 0(1)Ch. 3.2 - w that iff(x)isO(x)thenf(x)isO(x2).Ch. 3.2 - Suppose thatf(x),g(x), andh(x)are functions such...Ch. 3.2 - kbe a positive integer. Show...Ch. 3.2 - Prob. 19ECh. 3.2 - To simplify:(3a5)3 27a15 Given information:(3a5)3....Ch. 3.2 - ange the functionsn, 1000 logn,nlogn,2n!,2n,3n,...Ch. 3.2 - Arrange the...Ch. 3.2 - Suppose that you have two different algorithms for...Ch. 3.2 - Suppose that you have two different algorithms for...Ch. 3.2 - Give as good a big-Oestimate as possible for each...Ch. 3.2 - e a big-Oestimate for each of these functions. For...Ch. 3.2 - Give a big-Oestimate for each of these functions....Ch. 3.2 - each function in Exercise 1, determine whether...Ch. 3.2 - Prob. 29ECh. 3.2 - Show that each of these pairs of functions are of...Ch. 3.2 - Prob. 31ECh. 3.2 - w thatf(x)andg(x)are functions from the set of...Ch. 3.2 - Prob. 33ECh. 3.2 - Show that3x2+x+1is(3x2)by directly finding the...Ch. 3.2 - Prob. 35ECh. 3.2 - lain what it means for a function to be(1).Ch. 3.2 - Prob. 37ECh. 3.2 - Give a big-Oestimate of the product of the...Ch. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - pose thatf(x)isO(g(x)). Does it follow...Ch. 3.2 - Prob. 43ECh. 3.2 - pose thatf(x),g(x), andh(x)are functions such...Ch. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - ress the relationshipf(x)is(g(x))using a picture....Ch. 3.2 - Prob. 49ECh. 3.2 - w that iff(x)=anxn+an1xn1++a1x+a0,...Ch. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - w thatx5y3+x4y4+x3y5is(x3y3).Ch. 3.2 - w thatxyisO(xy).Ch. 3.2 - w thatxyis(xy).Ch. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - (Requires calculus) Prove or disprove that (2n)!...Ch. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Show thatnlognisO(logn!).Ch. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Prob. 76ECh. 3.2 - (Requires calculus) For each of these pairs of...Ch. 3.3 - Give a big-Oestimate for the number of operations...Ch. 3.3 - Give a big-Oestimate for the number additions used...Ch. 3.3 - Give a big-Oestimate for the number of operations,...Ch. 3.3 - Give a big-Oestimate for the number of operations,...Ch. 3.3 - Prob. 5ECh. 3.3 - Use pseudocode to describe the algorithm that puts...Ch. 3.3 - Suppose that an element is known to be among the...Ch. 3.3 - Prob. 8ECh. 3.3 - Give a big-Oestimate for the number of comparisons...Ch. 3.3 - Show that this algorithm determines the number of...Ch. 3.3 - pose we havensubsetsS1,S2, ...,Snof the set {1, 2,...Ch. 3.3 - Consider the following algorithm, which takes as...Ch. 3.3 - The conventional algorithm for evaluating a...Ch. 3.3 - re is a more efficient algorithm (in terms of the...Ch. 3.3 - t is the largestnfor which one can solve within...Ch. 3.3 - What is the largestnfor which one can solve within...Ch. 3.3 - What is the largestnfor which one can solve within...Ch. 3.3 - How much time does an algorithm take to solve a...Ch. 3.3 - Prob. 19ECh. 3.3 - What is the effect in the time required to solve a...Ch. 3.3 - Prob. 21ECh. 3.3 - Determine the least number of comparisons, or...Ch. 3.3 - Analyze the average-case performance of the linear...Ch. 3.3 - An algorithm is calledoptimalfor the solution of a...Ch. 3.3 - Describe the worst-case time complexity, measured...Ch. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Analyze the worst-case time complexity of the...Ch. 3.3 - Analyze the worst-case time complexity of the...Ch. 3.3 - Analyze the worst-case time complexity of the...Ch. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Determine a big-O estimate for the worst-case...Ch. 3.3 - Determine the number of character comparisons used...Ch. 3.3 - Determine a big-Oestimate of the number of...Ch. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Show that the greedy algorithm for making change...Ch. 3.3 - rcises 41 and 42 deal with the problem of...Ch. 3.3 - rcises 41 and 42 deal with the problem of...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3 - Define the termalgorithm. What are the different...Ch. 3 - Describe, using English, an algorithm for finding...Ch. 3 - Prob. 3RQCh. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Define what the worst-case time complexity,...Ch. 3 - Prob. 7RQCh. 3 - Describe the bubble sort algorithm. Use the bubble...Ch. 3 - Describe the insertion sort algorithm. Use the...Ch. 3 - Explain the concept of a greedy algorithm. Provide...Ch. 3 - Prob. 11RQCh. 3 - Describe an algorithm for locating the last...Ch. 3 - Prob. 2SECh. 3 - Give an algorithm to determine whether a bit...Ch. 3 - Suppose that a list contains integers that are in...Ch. 3 - Prob. 5SECh. 3 - Prob. 6SECh. 3 - Prob. 7SECh. 3 - Prob. 8SECh. 3 - Prob. 9SECh. 3 - Prob. 10SECh. 3 - Show the steps used by the shaker sort to sort the...Ch. 3 - Express the shaker sort in pseudocode.Ch. 3 - Prob. 13SECh. 3 - Prob. 14SECh. 3 - Prob. 15SECh. 3 - w that8x3+12x+100logxisO(x3).Ch. 3 - Prob. 17SECh. 3 - Prob. 18SECh. 3 - Prob. 19SECh. 3 - w thatnnis notO(n!).Ch. 3 - Prob. 21SECh. 3 - Prob. 22SECh. 3 - Prob. 23SECh. 3 - Prob. 24SECh. 3 - Arrange the...Ch. 3 - Prob. 26SECh. 3 - Prob. 27SECh. 3 - Show that if the denominations of coins arec0,c1,...Ch. 3 - Prob. 29SECh. 3 - Prob. 30SECh. 3 - Prob. 31SECh. 3 - Show that the deferred acceptance algorithm given...Ch. 3 - Prob. 33SECh. 3 - Show that when woman do the proposing in the...Ch. 3 - Prob. 35SECh. 3 - Prob. 36SECh. 3 - Prob. 37SECh. 3 - Prob. 38SECh. 3 - Prob. 39SECh. 3 - Prob. 40SECh. 3 - Prob. 41SECh. 3 - Exercises 4246 we will study the problem of load...Ch. 3 - Prob. 43SECh. 3 - Prob. 44SECh. 3 - Prob. 45SECh. 3 - Prove that the algorithm from Exercise 44 is a...Ch. 3 - Prob. 1CPCh. 3 - Prob. 2CPCh. 3 - Prob. 3CPCh. 3 - Prob. 4CPCh. 3 - Prob. 5CPCh. 3 - Prob. 6CPCh. 3 - Prob. 7CPCh. 3 - Given an integern, use the cashier’s algorithm to...Ch. 3 - Prob. 9CPCh. 3 - Prob. 10CPCh. 3 - Prob. 11CPCh. 3 - Prob. 1CAECh. 3 - Prob. 2CAECh. 3 - Using a generator of random orderings of the...Ch. 3 - Prob. 4CAECh. 3 - Write a program that animates the progress of all...Ch. 3 - Examine the history of the wordalgorithmand...Ch. 3 - Prob. 2WPCh. 3 - Explain how sorting algorithms can be classified...Ch. 3 - Prob. 4WPCh. 3 - Prob. 5WPCh. 3 - Prob. 6WPCh. 3 - Describe the historic trends in how quickly...Ch. 3 - Develop a detailed list of algorithmic paradigms...Ch. 3 - Explain what the Turing Award is and describe the...Ch. 3 - Prob. 10WPCh. 3 - Prob. 11WPCh. 3 - Describe six different NP-complete problems.Ch. 3 - Prob. 13WP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Which is the predictor variable (X) and which is the criterion variable (Y) for each of the following examples? A researcher tests whether the size of an audience can predict the number of mistakes a student makes during a classroom presentation. A military officer tests whether the duration of an overseas tour can predict the morale among troops overseas. A social psychologist tests whether the size of a toy in cereal boxes can predict preferences for that cereal.arrow_forwardGeroge has 2 job offers from companies that sell car accessories. Both the offere are nearly same in terms of payment and the work environment , both of them offer bonuses to those with the highest monthly sales . George has a lot of experience ,and thinks they can sell an average of 81,000 I equipment each month at either company Company 1 the monthly sales are normally distributed with a mean of 75000 with st dev 3500 .people in the highest 5% of monthly sales get a bonus Company 2 - the monthly sales for all sales people are normally distributed with a mean of 78000 with a st de of 2500 .people in the highest 8 % of monthly sales get a bonus Which of the two companies would give George the best chances to earn bonusarrow_forwardThe owner of Catamount Ice Cream needs to decide which size shop to rent in a new strip mall. He estimates that monthly profits will vary with demand for ice cream as follows: High Demand Demand Low Size of Shop Large 1,000 1,300 900 1,400 Medium Small 800 1,500 He feels there is a 40% chance that demand will be low and a 60% chance that demand will be high. He'll use a decision tree to help him decide what to do. When he draws his decision tree, how many circles will there be?arrow_forward
- Rita is a runner. She records the amounts of time that it takes her to run different distances in the scatter plot below. Which statements are true? a) There is a least one outlier represented in the scatter plot. b) There is a linear association between distance and time in the scatter plot. c) There is a nonlinear association between distance and time in the scatter plot. d) There is a positive association between distance and time in the scatter plot. e) There is a negative association between dstance and time in the scatter plot.arrow_forwardThe following table shows the marks obtained by 10 students of a college in Accountancy (X) and Statistics (Y) out of a maximum of 50 marks: Accountanc 24 32 24 26 34 28 30 30 35 37 y Statistics 20 27 24 24 27 24 32 25 31 36arrow_forwardSuppose a computer programmer in each of the five countries listed is offered a salary of $1500 per month. Using the z-scores and assuming that computer programmer prefers a salary that has a higher relative value, the computer programmer from what country will likely be the most pleased with the offer?arrow_forward
- A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late-night talk show had achieved more brand-name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 12% of all people both watched the show regularly and could correctly identify the product. Also, 13% of all people regularly watched the show and 39% of all people could correctly identify the product. Define a pair of random variables as shown below. Complete parts (a) through (c). X=1 if regularly watch the show Y=1 if product correctly identified a. Find the joint probability function of X and Y X 0 1 (Do not round.) 0 X=0 otherwise Y=0 otherwise 1 CLLL 2 xdex ramarrow_forwardA Hong Kong snack-food vendor offers 3 types of boxed ”lunches to go,” priced at $3, $5, and $10, respectively. The vendor would like to establish whether there is a relationship between the price of the boxed lunch and the number of sales achieved per hour. Consequently, over a 15-day period the vendor records the number of sales made for each of the 3 types of boxed lunches. The following data show the boxed-lunch price (x) and the number sold (y) during each of the 15 lunch hours.(3, 7) (5, 5) (10, 2) (3, 9) (5, 6) (10, 5) (3, 6) (5, 6)(10, 1) (3, 10) (5, 7) (10, 4) (3, 5) (5, 6) (10, 4)Prepare a scatter plot of the points and comment on the relationship between the price of the boxed lunches and the numbers sold each lunchtime.arrow_forward5). What does having a linear relation in a scatterplot mean? 6). Which type of graph would be most appropriate for predicting one variable based on another variable? For example, predicting graduation rates based on SAT scores.arrow_forward
- business graduate wants to get a job in any one of the top 10 accounting firms. Applying to any of these companies requires a lot of effort paperwork and is therefore costly. She estimates ost of applying to each of the 10 companies and robability of getting a job offer there. These data abulated below. The tabulation is in the decreas- sh n 3. If is 4. If g sE rder of cost.arrow_forwardA market researcher wants to determine whether a new model of a personal computer that had been advertised on a late-night talk show had achieved more brand-name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 15% of all people both watched the show regularly and could correctly identify the product. Also, 16% of all people regularly watched the show and 45% of all people could correctly identify the product. Define a pair of random variables as follows:X = 1 if regularly watch the show X = 0 otherwiseY = 1 if product correctly identified Y = 0 otherwisea. Find the joint probability distribution of X and Y.b. Find the conditional probability distribution of Y, given X = 1.c. Find and interpret the covariance between X and Y.arrow_forwardA psychologist conducted a study to examine the nature of the relation, if any, between an employee’s emotional stability and the employee’s ability to perform in a task group. Emotional stability was measured by a written test for which the higher the score, the greater the emotional stability. Ability to perform in a task group was evaluated by the supervisor. An employee was given a 1 if they were able to perform a task in the group, and 0 if they were unable. Following output gives the results from a logistic regression analysis on the data provided by a sample of 27 employees. (a) what is the estimated logistic regression line? (b) Convert your slope estimate into an estimate for the odds ratio, and interpret the results. (c) Estimate the odds of the being able to perform in a task group for an employee with an emotional stability score of 510.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY