Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
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 41E

RELIABILITY OF MEDICAL TESTS A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is .95 . However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04 . It is estimated that 4 % of the population who take this test have the disease.

a. If the test administered to an individual is positive, what is the probability that the person actually has the disease?

b. If an individual takes the test twice and the test is positive both times, what is the probability that the person actually has the disease? (Assume that the tests are independent.)

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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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