Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
11th Edition
ISBN: 9781285464657
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 7.6, Problem 32E
DETECTING SHOPLIFTERS The management of Mark’s Department store estimates that approximately
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8.
For each of the following functions, determine whether or not it is (i) injective
and/or (ii) surjective. Justify why or why not.
(a) fiZZ defined by fi(n) = 2n.
(b) f2 RR defined by f2(x) = x² − 4x+7.
:
(c) f3 Z {0, 1} defined by f3(n) = 0 if n is even and f3(n) = 1 if n is odd.
(d) f4 Z N defined by f4(n) = 2n if n > 0 and f4(n) = -2n-1 if n < 0.
2.
Disprove the following by finding counterexamples:
3.
(a) For all sets A and B, AU (BNA) = B.
(b) For all sets A, B, and C, ANBCC if and only if ACC and B C C.
Suppose A and B are subsets of a universal set U. Using the set identities¹ prove
the following:
(a) (ANB) U(ANB) = B
(b) A (BA) = A
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Chapter 7 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
Ch. 7.1 - Explain what is meant by an experiment. Give an...Ch. 7.1 - What does it mean for two events to be mutually...Ch. 7.1 - In Exercises 1-6, let S={a,b,c,d,e,f} be a sample...Ch. 7.1 - In Exercises 1-6, let S={a,b,c,d,e,f} be a sample...Ch. 7.1 - Prob. 3ECh. 7.1 - In Exercises 1-6, let S={a,b,c,d,e,f} be a sample...Ch. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - In Exercises 7-14, let S={1,2,3,4,5,6}, E={2,4,6},...Ch. 7.1 - Prob. 8E
Ch. 7.1 - Prob. 9ECh. 7.1 - In Exercises 7-14, let S={1,2,3,4,5,6}, E={2,4,6},...Ch. 7.1 - In Exercises 7-14, let S={1,2,3,4,5,6}, E={2,4,6},...Ch. 7.1 - In Exercises 7-14, let S={1,2,3,4,5,6}, E={2,4,6},...Ch. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - Prob. 17ECh. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - Prob. 19ECh. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Let S={1,2,3}.be a sample space associated with an...Ch. 7.1 - An experiment consists of selecting a card from a...Ch. 7.1 - An experiment consists of selecting a letter at...Ch. 7.1 - An experiment consists of tossing a coin, rolling...Ch. 7.1 - An experiment consists of spinning the hand of the...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - SELECTING JOB APPLICANTS From a list of five...Ch. 7.1 - FAMILY BIRTH ORDER An experiment consist of...Ch. 7.1 - BLOOD TYPES Human blood is classified by the...Ch. 7.1 - GAME SHOWS In a television game show, the winner...Ch. 7.1 - ATMs The manager of a local bank observes how long...Ch. 7.1 - Prob. 37ECh. 7.1 - QUALITY ASSURANCE SURVEYS The customer service...Ch. 7.1 - Prob. 39ECh. 7.1 - POLITICAL POLLS An opinion poll is conducted among...Ch. 7.1 - QUALITY CONTROL As part of a quality control...Ch. 7.1 - Prob. 42ECh. 7.1 - SHUTTLE BUS USAGE A certain hotel operates a...Ch. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.2 - Define a a probability distribution and b a...Ch. 7.2 - Prob. 2CQCh. 7.2 - Prob. 3CQCh. 7.2 - Prob. 1ECh. 7.2 - In Exercises 1-8, list the simple events...Ch. 7.2 - Prob. 3ECh. 7.2 - In Exercises 1-8, list the simple events...Ch. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - In Exercises 1-8, list the simple events...Ch. 7.2 - SOCIAL MEDIA ACCOUNTS In a survey of 1000 social...Ch. 7.2 - Workplace In a survey of 26,612 Parade.com...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - GRADE DISTRIBUTIONS The grade distribution for a...Ch. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - RED LIGHT RUNNERS In a survey of 800 likely...Ch. 7.2 - Prob. 19ECh. 7.2 - CHECKING INTO A HOTEL ROOM In a survey of 3019...Ch. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - CORRECTIVE LENS USE According to Mediamark...Ch. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - If a ball is selected at random from an urn...Ch. 7.2 - Prob. 29ECh. 7.2 - A pair of fair dice is rolled. What is the...Ch. 7.2 - TRAFFIC LIGHTS What is the probability of arriving...Ch. 7.2 - ROULETTE What is the probability that a roulette...Ch. 7.2 - Prob. 33ECh. 7.2 - In Exercises 3335, determine whether the given...Ch. 7.2 - In Exercises 3335, determine whether the given...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - DISPOSITION OF CRIMINAL COURT CASES Of the 98...Ch. 7.2 - SWEEPSTAKES In a sweepstakes sponsored by Gemini...Ch. 7.2 - POLITICAL POLLS An opinion poll is conducted among...Ch. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - SPENDING METHODS In a survey of consumer spending...Ch. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Airline Safety In an attempt to study the leading...Ch. 7.2 - Housing Appreciation In a survey conducted on fall...Ch. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.3 - Prob. 1CQCh. 7.3 - Give an example, based on a real-life situation,...Ch. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - A pair of dice is rolled, and the number that...Ch. 7.3 - A pair of dice is rolled, and the number that...Ch. 7.3 - A pair of dice is rolled, and the number that...Ch. 7.3 - An experiment consists of selecting a card at...Ch. 7.3 - Prob. 8ECh. 7.3 - An experiment consists of selecting a card at...Ch. 7.3 - An experiment consists of selecting a card at...Ch. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Raffles Five hundred raffle tickets were sold....Ch. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - In Exercises 15-22, explain why the statement is...Ch. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - In Exercises 15-22, explain why the statement is...Ch. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Let E and F be two events that are mutually...Ch. 7.3 - Prob. 24ECh. 7.3 - Let S={s1,s2,s3,s4} be the sample space associated...Ch. 7.3 - Let S={s1,s2,s3,s4,s5,s6} be the sample space...Ch. 7.3 - MAKEUP OF U.S. MOVIEGOER AUDIENCE In a survey of...Ch. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - 401k INVESTORS According to a study conducted in...Ch. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Alternative Fuel Vehicles A survey was conducted...Ch. 7.3 - Forecasting Sales The probability that a shopper...Ch. 7.3 - COURSE ENROLLMENTS Among 500 freshmen pursuing a...Ch. 7.3 - CUSTOMER SURVEYS A leading manufacturer of kitchen...Ch. 7.3 - ASSEMBLY-TIME STUDIES A time study was conducted...Ch. 7.3 - USE OF LANDLINE PHONE VERSUS CELL PHONE A survey...Ch. 7.3 - TIME ON A DIET A survey on how long dieters stay...Ch. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - LOSING WEIGHT In a survey, 1012 American adults...Ch. 7.3 - Prob. 50ECh. 7.3 - RISK OF AN AIRPLANE CRASH According to a study of...Ch. 7.3 - DISTRACTED DRIVING According to a study of 100...Ch. 7.3 - PLANS TO KEEP CARS In a survey conducted to...Ch. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Fifty raffle tickets are numbered 1 through 50,...Ch. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.4 - What is the probability of an event E in a uniform...Ch. 7.4 - Prob. 2CQCh. 7.4 - An unbiased coin is tossed five times. in...Ch. 7.4 - An unbiased coin is tossed five times. In...Ch. 7.4 - Prob. 3ECh. 7.4 - An unbiased coin is tossed five times. In...Ch. 7.4 - Prob. 5ECh. 7.4 - Two cards are selected at random without...Ch. 7.4 - Two cards are selected at random without...Ch. 7.4 - Prob. 8ECh. 7.4 - Four balls are selected at random without...Ch. 7.4 - Four balls are selected at random without...Ch. 7.4 - Four balls are selected at random without...Ch. 7.4 - Four balls are selected at random without...Ch. 7.4 - Assume that the probability of a boy being born is...Ch. 7.4 - Assume that the probability of a boy being born is...Ch. 7.4 - Assume that the probability of a boy being born is...Ch. 7.4 - Assume that the probability of a boy being born is...Ch. 7.4 - TAKING EXAMS An exam consists of ten true-or false...Ch. 7.4 - PERSONNEL SELECTION Jacobs & Johnson, an...Ch. 7.4 - QUALITY CONTROL Two light bulb are selected at...Ch. 7.4 - Prob. 20ECh. 7.4 - QUALITY CONTROL A shelf in the Metro Department...Ch. 7.4 - QUALITY CONTROL Electronic baseball games...Ch. 7.4 - PERSONNEL SELECTION The City Transit Authority...Ch. 7.4 - SELECTION OF PUBLIC HOUSING APPLICANTS The City...Ch. 7.4 - Exams A student studying for a vocabulary test...Ch. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - BLACKJACK In the game of blackjack, a 2-card hand...Ch. 7.4 - Prob. 29ECh. 7.4 - ROULETTE In 1959, a world record was set for the...Ch. 7.4 - In the Numbers Game, a state lottery, four numbers...Ch. 7.4 - In the Numbers Game, a state lottery, four numbers...Ch. 7.4 - In the Numbers Game, a state lottery, four numbers...Ch. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - 41. ZODIAC SIGNS There are 12 signs of the Zodiac:...Ch. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - BIRTHDAY PROBLEM A group of five people are...Ch. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.5 - What is conditional probability? Illustrate the...Ch. 7.5 - Prob. 2CQCh. 7.5 - Prob. 3CQCh. 7.5 - Prob. 4CQCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - In Exercises 58, determine whether the events A...Ch. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - The accompanying tree diagram represents an...Ch. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - A pair of fair dice is rolled. Let E denote the...Ch. 7.5 - A pair of fair dice is rolled. What is the...Ch. 7.5 - A pair of fair dice is rolled. What is the...Ch. 7.5 - A pair of fair dice is rolled. Let E denote the...Ch. 7.5 - A pair of fair dice is rolled. Let E denote the...Ch. 7.5 - A card is drawn from a well-shuffled deck of 52...Ch. 7.5 - A card is drawn from a well-shuffled deck of 52...Ch. 7.5 - BATTERY LIFE The probability that a battery will...Ch. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - SELLING A CAR Jack has decided to advertise the...Ch. 7.5 - AUDITING TAX RETURNS A tax specialist has...Ch. 7.5 - Prob. 29ECh. 7.5 - EDUCATIONAL LEVEL OF VOTERS In a survey of 1000...Ch. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - EMPLOYEE EDUCATION AND INCOME The personnel...Ch. 7.5 - STUDENT FINANCIAL AID The accompanying data were...Ch. 7.5 - Two cards are drawn without replacement from a...Ch. 7.5 - FAMILY COMPOSITION In a three-child family, what...Ch. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - CAR THEFT Figures obtained from a citys police...Ch. 7.5 - SWITCHING BROADBAND SERVICE According to a survey...Ch. 7.5 - PROBABILITY OF TRANSPLANT REJECTION The...Ch. 7.5 - QUALITY CONTROL An automobile manufacturer obtains...Ch. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Prob. 46ECh. 7.5 - QUALITY CONTROL A box contains two defective...Ch. 7.5 - Prob. 48ECh. 7.5 - REAL ESTATE SALES Mark, a real estate agent,...Ch. 7.5 - Prob. 50ECh. 7.5 - Prob. 51ECh. 7.5 - Prob. 52ECh. 7.5 - Prob. 53ECh. 7.5 - Prob. 54ECh. 7.5 - QUALITY CONTROL It is estimated that 0.80 of a...Ch. 7.5 - Prob. 56ECh. 7.5 - PRODUCT RELIABILITY The proprietor of Cunninghams...Ch. 7.5 - Prob. 58ECh. 7.5 - Prob. 59ECh. 7.5 - Prob. 60ECh. 7.5 - Prob. 61ECh. 7.5 - Prob. 62ECh. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Prob. 65ECh. 7.5 - Prob. 66ECh. 7.5 - Prob. 67ECh. 7.5 - Prob. 68ECh. 7.6 - What are a priori probabilities and a posteriori...Ch. 7.6 - Prob. 2CQCh. 7.6 - Prob. 3CQCh. 7.6 - Prob. 1ECh. 7.6 - In Exercises 1-3, refer to the accompanying Venn...Ch. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - In Exercises 4-6, refer to the accompanying Venn...Ch. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - The accompanying tree diagram represent a two...Ch. 7.6 - Prob. 11ECh. 7.6 - The accompanying diagram represents a two-stage...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - SEAT-BELT COMPLIANCE Data compiled by the Highway...Ch. 7.6 - RETIREMENT NEEDSIn a survey of 2000 adults 50...Ch. 7.6 - BLOOD TESTS If a certain disease is present, then...Ch. 7.6 - OPINION POLLS In a survey to determine the opinion...Ch. 7.6 - CRIME RATES Data compiled by the department of...Ch. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - PERSONNEL SELECTION Applicants for temporary...Ch. 7.6 - Prob. 31ECh. 7.6 - DETECTING SHOPLIFTERS The management of Marks...Ch. 7.6 - Prob. 33ECh. 7.6 - OPINION POLLS A survey involving 400 likely...Ch. 7.6 - Prob. 35ECh. 7.6 - SELECTION OF SUPREME COURT JUDGES In a past...Ch. 7.6 - AGE DISTRIBUTION OF RENTERS A study conducted by...Ch. 7.6 - PRODUCT RELIABILITY The estimated probability that...Ch. 7.6 - An experiment consists of randomly selecting one...Ch. 7.6 - GUN OWNERS IN THE SENATE As of January 3, 2013,...Ch. 7.6 - RELIABILITY OF MEDICAL TESTS A medical test has...Ch. 7.6 - RELIABILITY OF MEDICAL TESTS Refer to Exercise 41....Ch. 7.6 - QUALITY CONTROL Jansen Electronics has four...Ch. 7.6 - Prob. 44ECh. 7.6 - QUALITY CONTROL. A halogen desk lamp produced by...Ch. 7.6 - Prob. 46ECh. 7.6 - AUTO-ACCIDENT RATES An insurance company has...Ch. 7.6 - Prob. 48ECh. 7.6 - Prob. 49ECh. 7.6 - VOTER TURNOUT BY INCOME Voter turnout drops...Ch. 7.6 - Prob. 51ECh. 7.6 - Prob. 52ECh. 7.6 - Prob. 53ECh. 7.6 - Prob. 54ECh. 7.CRQ - Fill in the blanks. An activity with observable...Ch. 7.CRQ - Prob. 2CRQCh. 7.CRQ - Prob. 3CRQCh. 7.CRQ - Prob. 4CRQCh. 7.CRQ - Prob. 5CRQCh. 7.CRQ - Prob. 6CRQCh. 7.CRE - Let E and F be two mutually exclusive events, and...Ch. 7.CRE - Prob. 2CRECh. 7.CRE - Prob. 3CRECh. 7.CRE - Prob. 4CRECh. 7.CRE - An urn contains six red balls, five black balls,...Ch. 7.CRE - Prob. 6CRECh. 7.CRE - Prob. 7CRECh. 7.CRE - Prob. 8CRECh. 7.CRE - Prob. 9CRECh. 7.CRE - Prob. 10CRECh. 7.CRE - Prob. 11CRECh. 7.CRE - Prob. 12CRECh. 7.CRE - Prob. 13CRECh. 7.CRE - Prob. 14CRECh. 7.CRE - An experiment consists of tossing a fair coin...Ch. 7.CRE - QUALITYCONTROL In a group of 20 ballpoint pens on...Ch. 7.CRE - Prob. 17CRECh. 7.CRE - Prob. 18CRECh. 7.CRE - Prob. 19CRECh. 7.CRE - Prob. 20CRECh. 7.CRE - Prob. 21CRECh. 7.CRE - Prob. 22CRECh. 7.CRE - Prob. 23CRECh. 7.CRE - Prob. 24CRECh. 7.CRE - Prob. 25CRECh. 7.CRE - Prob. 26CRECh. 7.CRE - Prob. 27CRECh. 7.CRE - Prob. 28CRECh. 7.CRE - Prob. 29CRECh. 7.CRE - Prob. 30CRECh. 7.CRE - Prob. 31CRECh. 7.CRE - Prob. 32CRECh. 7.CRE - Prob. 33CRECh. 7.CRE - Prob. 34CRECh. 7.CRE - Prob. 35CRECh. 7.CRE - FAMILY COMPOSITION Consider the composition of a...Ch. 7.CRE - Prob. 37CRECh. 7.CRE - Prob. 38CRECh. 7.CRE - Tax Preparation A survey in which people were...Ch. 7.CRE - Prob. 40CRECh. 7.CRE - Prob. 41CRECh. 7.CRE - Prob. 42CRECh. 7.CRE - Prob. 43CRECh. 7.CRE - Prob. 44CRECh. 7.CRE - Prob. 45CRECh. 7.CRE - Prob. 46CRECh. 7.CRE - Prob. 47CRECh. 7.CRE - Prob. 48CRECh. 7.CRE - Prob. 49CRECh. 7.CRE - Prob. 50CRECh. 7.BMO - Let S={s1,s2,s3,s4,s5,s6} be the sample space...Ch. 7.BMO - Prob. 2BMOCh. 7.BMO - Prob. 3BMOCh. 7.BMO - Prob. 4BMOCh. 7.BMO - Prob. 5BMO
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