Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 5, Problem 2CS
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To find: The likelihood of offender is white.
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Theorem 7.6 (Etemadi's inequality)
Let X1, X2,
X, be independent random variables. Then, for all x > 0,
P(max |S|>3x) ≤3 max P(S| > x).
Isk≤n
Theorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x
1≤k≤n
S√2),
-S√2).
P(max Sk>x) ≤ 2P(|S|>x-
1
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?
Chapter 5 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 5.1 - What is the probability of an event that is...Ch. 5.1 - What does it mean for an event to be unusual? Why...Ch. 5.1 - True or False: In a probability model, the sum of...Ch. 5.1 - True or False: Probability is a measure of the...Ch. 5.1 - In probability, a(n) _____ is any process that can...Ch. 5.1 - NW 6. A(n) _____ is any collection of outcomes...Ch. 5.1 - Verify that the table in the next column is a...Ch. 5.1 - Verify that the following is a probability model....Ch. 5.1 - Why is the following not a probability model?...Ch. 5.1 - Why is the following not a probability model?...
Ch. 5.1 - Which of the following numbers could be the...Ch. 5.1 - Which of the following numbers could be the...Ch. 5.1 - According to Nate Silver, the probability of a...Ch. 5.1 - In seven-card stud poker, a player is dealt seven...Ch. 5.1 - Suppose that you toss a coin 100 times and get 95...Ch. 5.1 - Suppose that you roll a die 100 times and get six...Ch. 5.1 - Bob is asked to construct a probability model for...Ch. 5.1 - NW 18. Blood Types A person can have one of four...Ch. 5.1 - If a person rolls a six-sided die and then flips a...Ch. 5.1 - If a basketball player shoots three free throws,...Ch. 5.1 - According to the U.S. Department of Education,...Ch. 5.1 - According to the American Veterinary Medical...Ch. 5.1 - let the sample space be S =...Ch. 5.1 - let the sample space be S =...Ch. 5.1 - let the sample space be S =...Ch. 5.1 - let the sample space be S =...Ch. 5.1 - Play Sports? A survey of 500 randomly selected...Ch. 5.1 - Volunteer? In a survey of 1100 female adults (18...Ch. 5.1 - NW 29. Home Runs The Wall Street Journal regularly...Ch. 5.1 - Planting Tulips A bag of 100 tulip bulbs purchased...Ch. 5.1 - Roulette In the game of roulette, a wheel consists...Ch. 5.1 - Birthdays Exclude leap years from the following...Ch. 5.1 - Genetics A gene is composed of two alleles, either...Ch. 5.1 - More Genetics In Problem 33, we learned that for...Ch. 5.1 - NW 35. College Survey In a national survey...Ch. 5.1 - College Survey In a national survey conducted by...Ch. 5.1 - Larceny Theft A police officer randomly selected...Ch. 5.1 - Multiple Births The following data represent the...Ch. 5.1 - In Problems 3942, use the given table, which lists...Ch. 5.1 - Prob. 40AYUCh. 5.1 - In Problems 3942, use the given table, which lists...Ch. 5.1 - In Problems 3942, use the given table, which lists...Ch. 5.1 - Going to Disney World John, Roberto, Clarice,...Ch. 5.1 - Six Flags In 2011, Six Flags St. Louis had 10...Ch. 5.1 - Prob. 45AYUCh. 5.1 - Prob. 46AYUCh. 5.1 - NW 47. Simulation Use a graphing calculator or...Ch. 5.1 - Classifying Probability Determine whether the...Ch. 5.1 - Prob. 49AYUCh. 5.1 - Prob. 51AYUCh. 5.1 - The middle 50% of enrolled freshmen at Washington...Ch. 5.1 - NFL Combine Each year the National Football League...Ch. 5.1 - Putting It Together: Drug Side Effects In...Ch. 5.1 - Prob. 55AYUCh. 5.1 - In computing classical probabilities, all outcomes...Ch. 5.1 - Describe what an unusual event is. Should the same...Ch. 5.1 - Prob. 58AYUCh. 5.1 - Describe the difference between classical and...Ch. 5.1 - Prob. 60AYUCh. 5.1 - Suppose you live in a town with two hospitalsone...Ch. 5.2 - What does it mean when two events are disjoint?Ch. 5.2 - If E and F are disjoint events, then P(E or F) =...Ch. 5.2 - If E and F are not disjoint events, then P(E or F)...Ch. 5.2 - What does it mean when two events are complements?Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 512, a probability experiment is...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - In Problems 1318, find the probability of the...Ch. 5.2 - If P (E) = 0.60, P (E or F) = 0.85, and P (E and...Ch. 5.2 - Prob. 20AYUCh. 5.2 - In Problems 2124, a golf ball is selected at...Ch. 5.2 - In Problems 2124, a golf ball is selected at...Ch. 5.2 - In Problems 2124, a golf ball is selected at...Ch. 5.2 - In Problems 2124, a golf ball is selected at...Ch. 5.2 - Weapon of Choice The following probability model...Ch. 5.2 - Family Structure The following probability model...Ch. 5.2 - If events E and F are disjoint and the events F...Ch. 5.2 - Draw a Venn diagram like that in Figure 10 that...Ch. 5.2 - Medicare Fines In an effort to reduce the number...Ch. 5.2 - Housing The following data represents the number...Ch. 5.2 - A Deck of Cards A standard deck of cards contains...Ch. 5.2 - A Deck of Cards A standard deck of cards contains...Ch. 5.2 - Birthdays Exclude leap years from the following...Ch. 5.2 - Roulette In the game of roulette, a wheel consists...Ch. 5.2 - Health Problems According to the Centers for...Ch. 5.2 - Visits to the Doctor A National Ambulatory Medical...Ch. 5.2 - Language Spoken at Home According to the U.S....Ch. 5.2 - Getting to Work According to the U.S. Census...Ch. 5.2 - Cigar Smoking The data in the table in the next...Ch. 5.2 - Working Couples A guidance counselor at a middle...Ch. 5.2 - The Placebo Effect A company is testing a new...Ch. 5.2 - Social Media Harris Interactive conducted a survey...Ch. 5.2 - Driver Fatalities The following data represent the...Ch. 5.2 - Prob. 44AYUCh. 5.2 - Putting It Together: Red Light Cameras In a study...Ch. 5.2 - Exam Scores The following data represent the...Ch. 5.3 - Two events E and F are _____ if the occurrence of...Ch. 5.3 - The word and in probability implies that we use...Ch. 5.3 - The word or in probability implies that we use the...Ch. 5.3 - True or False: When two events are disjoint, they...Ch. 5.3 - If two events E and F are independent, P (E and F)...Ch. 5.3 - Suppose events E and F are disjoint. What is P(E...Ch. 5.3 - Determine whether the events E and F are...Ch. 5.3 - Determine whether the events E and F are...Ch. 5.3 - Suppose that events E and F are independent, P (E)...Ch. 5.3 - Suppose that events E and F are independent, P (E)...Ch. 5.3 - Flipping a Coin What is the probability of...Ch. 5.3 - Rolling a Die What is the probability of obtaining...Ch. 5.3 - Southpaws About 13% of the population is...Ch. 5.3 - Double Jackpot Shawn lives near the border of...Ch. 5.3 - False Positives The ELISA is a test to determine...Ch. 5.3 - Prob. 16AYUCh. 5.3 - Life Expectancy The probability that a randomly...Ch. 5.3 - Life Expectancy The probability that a randomly...Ch. 5.3 - Derivatives In finance, a derivative is a...Ch. 5.3 - Quality Control Suppose that a company selects two...Ch. 5.3 - Reliability and Redundancy In airline...Ch. 5.3 - Reliability For a parallel structure of identical...Ch. 5.3 - Prob. 23AYUCh. 5.3 - Cold Streaks Players in sports are said to have...Ch. 5.3 - Bowling Suppose that Ralph gets a strike when...Ch. 5.3 - Driving under the Influence Among 21- to...Ch. 5.3 - Prob. 27AYUCh. 5.3 - Audits and Pet Ownership According to Internal...Ch. 5.3 - Weight Gain and Gender According to the National...Ch. 5.3 - Stocks Suppose your financial advisor recommends...Ch. 5.3 - Betting on Sports According to a Gallup Poll,...Ch. 5.3 - Prob. 32AYUCh. 5.3 - Prob. 33AYUCh. 5.3 - Prob. 34AYUCh. 5.4 - The notation P(F|E) means the probability of event...Ch. 5.4 - If P (E) = 0,6 and P(E\F) = 0.34, are events E and...Ch. 5.4 - Prob. 3AYUCh. 5.4 - Suppose that E and F are two events and that P(E...Ch. 5.4 - Suppose that E and F are two events and that N(E...Ch. 5.4 - Suppose that E and F are two events and that N...Ch. 5.4 - Suppose that E and F are two events and that P (E)...Ch. 5.4 - Prob. 8AYUCh. 5.4 - According to the U.S. Census Bureau, the...Ch. 5.4 - Prob. 10AYUCh. 5.4 - Drawing a Card Suppose that a single card is...Ch. 5.4 - Prob. 12AYUCh. 5.4 - Rainy Days For the month of June in the city of...Ch. 5.4 - Cause of Death According to the U.S. National...Ch. 5.4 - High School Dropouts According to the U.S. Census...Ch. 5.4 - Income by Region According to the U.S. Census...Ch. 5.4 - Made in America In a recent Harris Poll, a random...Ch. 5.4 - Social Media Adult Americans (18 years or older)...Ch. 5.4 - Driver Fatalities The following data represent the...Ch. 5.4 - Speeding Tickets Use the results of Problem 44 in...Ch. 5.4 - Acceptance Sampling Suppose that you just received...Ch. 5.4 - Committee A committee consisting of four women and...Ch. 5.4 - Suppose that two cards are randomly selected from...Ch. 5.4 - Suppose that two cards are randomly selected from...Ch. 5.4 - Board Work This past semester, I had a small...Ch. 5.4 - Party My wife has organized a monthly neighborhood...Ch. 5.4 - Playing Music on Random Setting Suppose that a...Ch. 5.4 - Packaging Error Because of a manufacturing error,...Ch. 5.4 - Planting Tulips A bag of 30 tulip bulbs purchased...Ch. 5.4 - Golf Balls The local golf store sells an onion bag...Ch. 5.4 - Smokers According to the National Center for...Ch. 5.4 - Prob. 32AYUCh. 5.4 - The Birthday Problem Determine the probability...Ch. 5.4 - The Birthday Problem Using the procedure given in...Ch. 5.4 - Prob. 35AYUCh. 5.4 - Party Affiliation The following data represent...Ch. 5.4 - A Flush A flush in the card game of poker occurs...Ch. 5.4 - Prob. 38AYUCh. 5.4 - Independence in Small Samples from Large...Ch. 5.4 - Independence in Small Samples from Large...Ch. 5.4 - Prob. 41AYUCh. 5.4 - Prob. 42AYUCh. 5.5 - A _____ is an ordered arrangement of r objects...Ch. 5.5 - A _____ is an arrangement of r objects chosen from...Ch. 5.5 - True or False: In a combination problem, order is...Ch. 5.5 - The factorial symbol, n!, is defined as n! _____...Ch. 5.5 - In Problems 510, find the value of each factorial....Ch. 5.5 - In Problems 510, find the value of each factorial....Ch. 5.5 - In Problems 510, find the value of each factorial....Ch. 5.5 - In Problems 510, find the value of each factorial....Ch. 5.5 - Prob. 9AYUCh. 5.5 - Prob. 10AYUCh. 5.5 - In Problems 1118, find the value of each...Ch. 5.5 - Prob. 12AYUCh. 5.5 - In Problems 1118, find the value of each...Ch. 5.5 - In Problems 1118, find the value of each...Ch. 5.5 - Prob. 15AYUCh. 5.5 - Prob. 16AYUCh. 5.5 - Prob. 17AYUCh. 5.5 - In Problems 1118, find the value of each...Ch. 5.5 - In Problems 1926, find the value of each...Ch. 5.5 - In Problems 1926, find the value of each...Ch. 5.5 - Prob. 21AYUCh. 5.5 - Prob. 22AYUCh. 5.5 - Prob. 23AYUCh. 5.5 - Prob. 24AYUCh. 5.5 - Prob. 25AYUCh. 5.5 - In Problems 1926, find the value of each...Ch. 5.5 - List all the permutations of five objects a, b, c,...Ch. 5.5 - List all the permutations of four objects a, b, c,...Ch. 5.5 - List all the combinations of five objects a, b, c,...Ch. 5.5 - Prob. 30AYUCh. 5.5 - Clothing Options A man has six shirts and four...Ch. 5.5 - Prob. 32AYUCh. 5.5 - Prob. 33AYUCh. 5.5 - Arranging Students In how many ways can 15...Ch. 5.5 - Traveling Salesperson A salesperson must travel to...Ch. 5.5 - Prob. 36AYUCh. 5.5 - Prob. 37AYUCh. 5.5 - Stocks on the NASDAQ Companies whose stocks are...Ch. 5.5 - Garage Door Code Outside a home there is a keypad...Ch. 5.5 - Social Security Numbers A Social Security number...Ch. 5.5 - User Names Suppose that a local area network...Ch. 5.5 - User Names How many user names are possible in...Ch. 5.5 - Combination Locks A combination lock has 50...Ch. 5.5 - Forming License Plate Numbers How many different...Ch. 5.5 - INDY 500 Suppose 40 cars start at the Indianapolis...Ch. 5.5 - Betting on the Perfecta In how many ways can the...Ch. 5.5 - Forming a Committee Four members from a 20-person...Ch. 5.5 - Forming a Committee Four members from a 50-person...Ch. 5.5 - Lottery A lottery exists where balls numbered 125...Ch. 5.5 - Forming a Committee In the U.S. Senate, there are...Ch. 5.5 - Simple Random Sample How many different simple...Ch. 5.5 - Simple Random Sample How many different simple...Ch. 5.5 - Prob. 53AYUCh. 5.5 - Prob. 54AYUCh. 5.5 - DNA Sequences (See Example 10 on page 278.) How...Ch. 5.5 - Prob. 56AYUCh. 5.5 - Landscape Design A golf-course architect has four...Ch. 5.5 - Starting Lineup A baseball team consists of three...Ch. 5.5 - Prob. 59AYUCh. 5.5 - Mega Millions In Mega Millions, an urn contains...Ch. 5.5 - Selecting a Jury The grade appeal process at a...Ch. 5.5 - Selecting a Committee Suppose that there are 55...Ch. 5.5 - Acceptance Sampling Suppose that a shipment of 120...Ch. 5.5 - In the Dark A box containing twelve 40-watt light...Ch. 5.5 - Randomly Playing Songs Suppose a playlist you just...Ch. 5.5 - Packaging Error Through a manufacturing error,...Ch. 5.5 - Prob. 67AYUCh. 5.5 - Two of a Kind Follow the outline presented in...Ch. 5.5 - Prob. 69AYUCh. 5.5 - Acceptance Sampling Suppose that you have just...Ch. 5.5 - Password Policy According to the Sefton Council...Ch. 5.6 - What is the difference between a permutation and a...Ch. 5.6 - What method of assigning probabilities to a simple...Ch. 5.6 - Prob. 3AYUCh. 5.6 - Prob. 4AYUCh. 5.6 - Prob. 5AYUCh. 5.6 - Prob. 6AYUCh. 5.6 - Prob. 7AYUCh. 5.6 - Prob. 8AYUCh. 5.6 - Prob. 9AYUCh. 5.6 - Prob. 10AYUCh. 5.6 - In Problems 1012, evaluate each expression. 11....Ch. 5.6 - In Problems 1012, evaluate each expression. 12....Ch. 5.6 - Suppose that events E and F are independent. P (E)...Ch. 5.6 - Prob. 14AYUCh. 5.6 - Prob. 16AYUCh. 5.6 - Soccer? In a survey of 500 randomly selected...Ch. 5.6 - Apartment Vacancy A real estate agent conducted a...Ch. 5.6 - Prob. 19AYUCh. 5.6 - Starting Lineups Paytons futsal team consists of...Ch. 5.6 - Titanic Survivors The following data represent the...Ch. 5.6 - Marijuana Use According to the Statistical...Ch. 5.6 - Prob. 23AYUCh. 5.6 - National Honor Society The distribution of...Ch. 5.6 - Instant Winner In 2002, Valerie Wilson won 1...Ch. 5.6 - Text Twist In the game Text Twist, six letters are...Ch. 5.6 - Marriage and Education According to the U.S....Ch. 5.6 - Weather Forecast The weather forecast says there...Ch. 5.6 - Essay Test An essay test in European History has...Ch. 5.6 - Exercise Routines Todd is putting together an...Ch. 5.6 - New Cars If the 2015 Hyundai Genesis has 2 engine...Ch. 5.6 - Lingo In the gameshow Lingo, the team that...Ch. 5 - (a) a. Which among the following numbers could be...Ch. 5 - For Problems 25, let the sample space be S = {red,...Ch. 5 - For Problems 25, let the sample space be S = {red,...Ch. 5 - For Problems 25, let the sample space be S = {red,...Ch. 5 - For Problems 25, let the sample space be S = {red,...Ch. 5 - Suppose that P (E) = 0.76, P (F) = 0.45, and P (E...Ch. 5 - Suppose that P (E) = 0.36, P (F) = 0.12, and E and...Ch. 5 - Suppose that events E and F are independent. In...Ch. 5 - Suppose that P (E) = 0.8, P (F) = 0.5, and P (E...Ch. 5 - Suppose that P (E) = 0.59 and P(F|E) = 0.45. What...Ch. 5 - Suppose that P (E and F) = 0.35 and P (F) = 0.7....Ch. 5 - Determine the value of each of the following: a....Ch. 5 - Roulette In the game of roulette, a wheel consists...Ch. 5 - Traffic Fatalities In 2013, there were 32.719...Ch. 5 - Long Life? In a poll conducted by Genworth...Ch. 5 - Gestation Period versus Weight The following data...Ch. 5 - Who Do You Trust? According to the National...Ch. 5 - Pick 3 For the Illinois Lotterys PICK 3 game, a...Ch. 5 - Prob. 19RECh. 5 - Drawing Cards Suppose that you draw 3 cards...Ch. 5 - Forming License Plates A license plate is designed...Ch. 5 - Prob. 22RECh. 5 - Arranging Flags How many different vertical...Ch. 5 - Prob. 24RECh. 5 - Arizonas Pick 5 In one of Arizonas lotteries,...Ch. 5 - Packaging Error Because of a mistake in packaging,...Ch. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Playing Five-Card Stud In the game of five-card...Ch. 5 - Prob. 30RECh. 5 - Lottery Luck In 1996, a New York couple won 2.5...Ch. 5 - Coffee Sales The following data represent the...Ch. 5 - Prob. 1CTCh. 5 - Prob. 2CTCh. 5 - For Problems 24, let the sample space be S =...Ch. 5 - For Problems 24, let the sample space be S =...Ch. 5 - Suppose that P (E) = 0.37 and P (F) = 0.22. a....Ch. 5 - Suppose that P (E) = 0.15, P (F) = 0.45, and...Ch. 5 - Determine the value of each of the following: a....Ch. 5 - Craps is a dice game in which two fair dice are...Ch. 5 - According to Gallup, 26% of adult Americans...Ch. 5 - The following probability model shows the...Ch. 5 - The following represent the results of a survey in...Ch. 5 - During the 2014 season, the Los Angeles Dodgers...Ch. 5 - You just received a shipment of 10 DVD players....Ch. 5 - Prob. 14CTCh. 5 - The U.S. Senate Appropriations Committee has 29...Ch. 5 - Prob. 16CTCh. 5 - Prob. 17CTCh. 5 - A survey distributed at the 28th Lunar and...Ch. 5 - How many distinguishable DNA sequences can be...Ch. 5 - A student is taking a 40-question multiple-choice...Ch. 5 - Offender is at least 18.Ch. 5 - Prob. 2CSCh. 5 - Prob. 3CSCh. 5 - Prob. 4CSCh. 5 - Prob. 5CSCh. 5 - Prob. 6CSCh. 5 - Prob. 7CSCh. 5 - Prob. 8CSCh. 5 - Prob. 9CSCh. 5 - Prob. 10CSCh. 5 - Prob. 11CSCh. 5 - Prob. 12CSCh. 5 - Prob. 13CSCh. 5 - Prob. 14CSCh. 5 - Prob. 15CSCh. 5 - Prob. 16CSCh. 5 - Prob. 17CSCh. 5 - Prob. 18CSCh. 5 - Prob. 19CSCh. 5 - Prob. 20CSCh. 5 - Prob. 21CSCh. 5 - Prob. 22CSCh. 5 - Prob. 23CSCh. 5 - Prob. 24CS
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