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12th Edition

Soo T. Tan

Publisher: Cengage Learning

ISBN: 9781337405782

Chapter 7.1, Problem 11E

Textbook Problem

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In Exercises 7-14, let

Are the events *E* and *F* mutually exclusive?

To determine

**To find:**

Whether the events *E* and *F* mutually exclusive.

**Given:**

Sample space of an experiment is,

Events are,

**Approach:**

The two events cannot occur at the same time, they are said to be mutually exclusive.

Two events

Finite Mathematics for the Managerial, Life, and Social Sciences

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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 - 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 - In Exercises 7-14, let S={1,2,3,4,5,6}, E={2,4,6},...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - In Exercises 15-20, let S be any sample space, and...Ch. 7.1 - Consider the sample space S of Example 4, page...Ch. 7.1 - Consider the sample space S of Example 4, page...Ch. 7.1 - Let S={a,b,c}.be a sample space of an experiment...Ch. 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 - In Exercises 2932, a fair die is rolled, and the...Ch. 7.1 - In Exercises 2932, a fair die is dolled, and the...Ch. 7.1 - In Exercises 2932, a fair die is dolled, and the...Ch. 7.1 - In Exercises 2932, a fair die is dolled, and the...Ch. 7.1 - QUALITY CONTROL A sample of three transistors...Ch. 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 - PRICE CHANGES IN COMMON STOCKES Robin purchased...Ch. 7.1 - QUALITY ASSURANCE SURVEYS The customer service...Ch. 7.1 - ASSEMBLY-TIME STUDIES A time study was conducted...Ch. 7.1 - POLITICAL POLLS An opinion poll is conducted among...Ch. 7.1 - QUALITY CONTROL As part of a quality control...Ch. 7.1 - POLITICAL POLLS In the opinion poll of Exercise...Ch. 7.1 - SHUTTLE BUS USAGE A certain hotel operates a...Ch. 7.1 - Sports eight players A,B,C,D,E,F,G and H are...Ch. 7.1 - An Experiment consists of selecting a card at...Ch. 7.1 - Let S be a sample space for an experiment. 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BLOOD...Ch. 7.3 - Refer to Exercises 7.1, Problem 36, in which you...Ch. 7.3 - DOWNLOADING MUSIC The following table gives the...Ch. 7.3 - TEEN SPENDING BEHAVIOR In a survey conducted in...Ch. 7.3 - TIRE SAFETY A team of automobile safety experts...Ch. 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 - Teachers Views of Educational Problems A nonprofit...Ch. 7.3 - 401(K)INVESTMENTS In a survey of 200 employees of...Ch. 7.3 - ROLLOVER DEATHS The following table gives the...Ch. 7.3 - SWITCHING JOBS Two hundred workers were asked:...Ch. 7.3 - LOSING WEIGHT In a survey, 1012 American adults...Ch. 7.3 - WALKING ON MARS In a survey of 1000 adults...Ch. 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 - GUN-CONTROL LAWS A poll was conducted among 250...Ch. 7.3 - Suppose the probability that Bill can solve a...Ch. 7.3 - Fifty raffle tickets are numbered 1 through 50,...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.3 - In Exercises 5762, determine whether the statement...Ch. 7.4 - What is the probability of an event E in a uniform...Ch. 7.4 - Suppose we want to find the probability that at...Ch. 7.4 - An unbiased coin is tossed five times. in...Ch. 7.4 - An unbiased coin is tossed five times. In...Ch. 7.4 - An unbiased coin is tossed five times. In...Ch. 7.4 - An unbiased coin is tossed five times. In...Ch. 7.4 - Two cards are selected at random without...Ch. 7.4 - Two cards are selected at random without...Ch. 7.4 - Two cards are selected at random without...Ch. 7.4 - Two cards 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 - 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 - SAMPLING A customer at Cavallaros Fruit stand...Ch. 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 - CHOOSING ASTRONAUTS The National Aeronautics and...Ch. 7.4 - BRAND SELECTION A pharmacist wishes to select...Ch. 7.4 - BLACKJACK In the game of blackjack, a 2-card hand...Ch. 7.4 - SLOT MACHINES Refer to Exercise 37, Section 6.3,...Ch. 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 - In the Numbers Game, a state lottery, four numbers...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - A list of poker hands, ranked in order from the...Ch. 7.4 - 41. ZODIAC SIGNS There are 12 signs of the Zodiac:...Ch. 7.4 - BIRTHDAY PROBLEM What is the probability that at...Ch. 7.4 - BIRTHDAY PROBLEM Fifty people are selected at...Ch. 7.4 - BIRTHDAY PROBLEM A group of five people are...Ch. 7.4 - BIRTHDAY PROBLEM A group of twelve people are...Ch. 7.4 - BIRTHDAY PROBLEM There were 44 different...Ch. 7.5 - What is conditional probability? Illustrate the...Ch. 7.5 - If A and B are events in an experiment and P(A)0,...Ch. 7.5 - If A and B are events in an experiment and the...Ch. 7.5 - a. What is the test for determining the...Ch. 7.5 - Let A and B be two events in a sample space S such...Ch. 7.5 - Let A and B be two events in a sample space S such...Ch. 7.5 - Let A and B be two events in a sample space S such...Ch. 7.5 - Let A and B be the events described in Exercise 1....Ch. 7.5 - In Exercises 58, determine whether the events A...Ch. 7.5 - In Exercises 58, determine whether the events A...Ch. 7.5 - In Exercises 58, determine whether the events A...Ch. 7.5 - In Exercises 58, determine whether the events A...Ch. 7.5 - If A and B are independent events, P(A)=.4, and...Ch. 7.5 - If A and B are independent events, P(A)=.35, and...Ch. 7.5 - The accompanying tree diagram represents an...Ch. 7.5 - The accompanying tree diagram represents an...Ch. 7.5 - An experiment consists of two independent trials....Ch. 7.5 - An experiment consists of two independent trials....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 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 - TRAFFIC LIGHTS The traffic lights at a certain...Ch. 7.5 - RANSOMWARE Ransomware involves hackers who...Ch. 7.5 - Five black balls and four white balls are placed...Ch. 7.5 - Refer to Exercises 7.1, Problem 36, in which you...Ch. 7.5 - Refer to Exercises 7.1, Problem 36, in which you...Ch. 7.5 - SELLING A CAR Jack has decided to advertise the...Ch. 7.5 - AUDITING TAX RETURNS A tax specialist has...Ch. 7.5 - POWERBALL Powerball, introduced in October 2015,...Ch. 7.5 - EFFECTS OF STUDENT LOAN DEBT In a study conducted...Ch. 7.5 - EDUCATIONAL LEVEL OF VOTERS In a survey of 1000...Ch. 7.5 - SOLVING PROBLEMS The probability that Art will...Ch. 7.5 - MEDICAL SURVEY A nationwide survey conducted by...Ch. 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 - A coin is tossed three times. 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Are E...Ch. 7.5 - Let E and F be events such that FE. Find P(EF),...Ch. 7.5 - Let E and F be mutually exclusive events, and...Ch. 7.5 - Let E and F be independent events; show that E and...Ch. 7.5 - Suppose that A and B are mutually exclusive events...Ch. 7.5 - Prove Equation (4), P(ABC)=P(A)P(BA)P(CAB)Ch. 7.5 - In Exercises 6568, determine whether the statement...Ch. 7.5 - In Exercises 6568, determine whether the statement...Ch. 7.5 - In Exercises 6568, determine whether the statement...Ch. 7.5 - In Exercises 6568, determine whether the statement...Ch. 7.6 - What are a priori probabilities and a posteriori...Ch. 7.6 - Suppose that event A, B and C form the partition...Ch. 7.6 - Refer to Question 2. If E is the event that a...Ch. 7.6 - In Exercises 1-3, refer to the accompanying Venn...Ch. 7.6 - In Exercises 1-3, refer to the accompanying Venn...Ch. 7.6 - In Exercises 1-3, refer to the accompanying Venn...Ch. 7.6 - In Exercises 4-6, refer to the accompanying Venn...Ch. 7.6 - In Exercises 4-6, refer to the accompanying Venn...Ch. 7.6 - In Exercises 4-6, refer to the accompanying Venn...Ch. 7.6 - The accompanying tree diagram represents a two...Ch. 7.6 - The accompanying tree diagram represents a two...Ch. 7.6 - The accompanying tree diagram represents a two...Ch. 7.6 - The accompanying tree diagram represent a two...Ch. 7.6 - The accompanying diagram represents a two-stage...Ch. 7.6 - The accompanying diagram represents a two-stage...Ch. 7.6 - In Exercises 1316, refer to the following...Ch. 7.6 - In exercises 1316, refer to the following...Ch. 7.6 - In exercises 1316, refer to the following...Ch. 7.6 - In exercises 1316, refer to the following...Ch. 7.6 - In Exercises 1720, refer to the following...Ch. 7.6 - In Exercises 1720, refer to the following...Ch. 7.6 - In Exercises 1720, refer to the following...Ch. 7.6 - In Exercises 1720, refer to the following...Ch. 7.6 - SEAT-BELT COMPLIANCE Data compiled by the Highway...Ch. 7.6 - CAR THEFT Figures obtained from a citys police...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 - AFFORDABLE CARE ACT A Los Angeles Times poll...Ch. 7.6 - MEDICAL RESEARCH On the basis if data obtained...Ch. 7.6 - VOTING PATTERNS In a recent senatorial election,...Ch. 7.6 - MEDICAL DIAGNOSES A study was conducted among a...Ch. 7.6 - PERSONNEL SELECTION Applicants for temporary...Ch. 7.6 - TERRORISM In a survey of 1504 adults nationwide...Ch. 7.6 - DETECTING SHOPLIFTERS The management of Marks...Ch. 7.6 - OPINION POLLS A survey involving 400 likely...Ch. 7.6 - OPINION POLLS A survey involving 400 likely...Ch. 7.6 - WOMEN IN THE ARMED SERVICES As of January 1,...Ch. 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 - COMMUTING TIMES According to the U.S. Census...Ch. 7.6 - QUALITY CONTROL. A halogen desk lamp produced by...Ch. 7.6 - OBESITY IN CHILDREN Researchers weighed 1976...Ch. 7.6 - AUTO-ACCIDENT RATES An insurance company has...Ch. 7.6 - PERSONAL HABITS There were 80 male guests at a...Ch. 7.6 - SLEEPING WITH CELL PHONES In a survey 920 people...Ch. 7.6 - VOTER TURNOUT BY INCOME Voter turnout drops...Ch. 7.6 - THE SOCIAL LADDER The following table summarizes...Ch. 7.6 - SELECTION OF COLLEGE MAJORS The Office of...Ch. 7.6 - VOTER TURNOUT BY PROFESSION The following table...Ch. 7.6 - SMOKING AND EDUCATION According to the Centers for...Ch. 7.CRQ - Fill in the blanks. An activity with observable...Ch. 7.CRQ - Fill in the blanks. The events E and F are...Ch. 7.CRQ - Fill in the blanks. A sample space in which the...Ch. 7.CRQ - Fill in the blanks. The probability of the...Ch. 7.CRQ - Fill in the blanks. If the outcome of one event...Ch. 7.CRQ - Fill in the blanks. The probability of an event...Ch. 7.CRE - Let E and F be two mutually exclusive events, and...Ch. 7.CRE - Let E and F be two events of an experiment with...Ch. 7.CRE - Let E and F be two mutually exclusive events, and...Ch. 7.CRE - A die is loaded, and it has been determined that...Ch. 7.CRE - An urn contains six red balls, five black balls,...Ch. 7.CRE - Let E and F be two events, and suppose that...Ch. 7.CRE - Suppose that P(E)=.60, P(F)=.32, and P(EF)=.22....Ch. 7.CRE - Suppose that E and F are independent events. If...Ch. 7.CRE - The accompanying tree diagram represents an...Ch. 7.CRE - The accompanying tree diagram represents an...Ch. 7.CRE - The accompanying tree diagram represents an...Ch. 7.CRE - The accompanying tree diagram represents an...Ch. 7.CRE - The accompanying tree diagram represents an...Ch. 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 - BIRTHDAYPROBLEM Five people are selected at...Ch. 7.CRE - A pair of fair dice is rolled. What is the...Ch. 7.CRE - A fair die is rolled three times. What is the...Ch. 7.CRE - A fair die is rolled, a fair coin is tossed, and a...Ch. 7.CRE - Three cards are drawn at random without...Ch. 7.CRE - Three cards are drawn at random without...Ch. 7.CRE - Three cards are drawn at random without...Ch. 7.CRE - Three cards are drawn at random without...Ch. 7.CRE - Three cards are drawn at random without...Ch. 7.CRE - SAFETY OF AMERICAN-MADE PRODUCTS The accompanying...Ch. 7.CRE - COOKING AT HOME In an online survey of 500 adults...Ch. 7.CRE - FIGHTING INFLATION In a survey of 2000 adults aged...Ch. 7.CRE - POKER What is wrong with the following statement?...Ch. 7.CRE - What is wrong with the following statement? There...Ch. 7.CRE - ELECTRICITY GENERATION Electricity in the United...Ch. 7.CRE - WORK HABITS In a survey of 7780 workers, the...Ch. 7.CRE - TRANSPORTATION FATALITIES The following breakdown...Ch. 7.CRE - CREDIT CARD OWNERSHIP A survey of 1020 adults aged...Ch. 7.CRE - FAMILY COMPOSITION Consider the composition of a...Ch. 7.CRE - Sales of Plasma TVs The records of Ace Electronics...Ch. 7.CRE - Tax Preparation A survey in which people were...Ch. 7.CRE - WOMENs APPAREL In an online survey for Talbots of...Ch. 7.CRE - SALES OF DISASTER-RECOVERY SYSTEMS Jay sells...Ch. 7.CRE - FLEX-TIME Of 320 male and 280 female employees at...Ch. 7.CRE - DRIVING TESTS Four different written driving tests...Ch. 7.CRE - STUDENT ENROLLMENT At a certain medical school, 17...Ch. 7.CRE - FAMILY PORTRAITS The Jackson family of four is...Ch. 7.CRE - QUALITY CONTROL Copykwik has four photocopy...Ch. 7.CRE - QUALITY CONTROL In a manufacturing plant, three...Ch. 7.CRE - COLLEGE ADMISSIONS Applicants who wish to be...Ch. 7.CRE - BEVERAGE PREFERENCES In study of scientific...Ch. 7.CRE - OPINION POLLS A poll was conducted among 500...Ch. 7.CRE - IMPACT OF GAS PRICES ON CONSUMERS In a survey of...Ch. 7.CRE - GUN OWNERS IN THE HOUSE OF REPRESENTATIVES As of...Ch. 7.CRE - COMMUTING According to the 2011 U.S. Census,...Ch. 7.BMO - Let S={s1,s2,s3,s4,s5,s6} be the sample space...Ch. 7.BMO - A card is drawn from a well-shuffled 52-card deck....Ch. 7.BMO - Let E and F be events of an experiment with sample...Ch. 7.BMO - Suppose A and B are independent events with...Ch. 7.BMO - The following tree diagram represents a two-stage...

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