Math

Finite Mathematics for the Managerial, Life, and Social SciencesIn Exercise 7 âˆ’ 14 , (a) make a sketch of the area under the standard normal curve corresponding to the probability, and (b) find the value of the probability of the standard normal variable Z corresponding to this area. P ( Z > 2.27 )BuyFind*launch*

12th Edition

Soo T. Tan

Publisher: Cengage Learning

ISBN: 9781337405782

Chapter 8.5, Problem 8E

Textbook Problem

In Exercise

Finite Mathematics for the Managerial, Life, and Social Sciences

Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Give an example of a a finite discrete random...Ch. 8.1 - Suppose you are given the probability distribution...Ch. 8.1 - Three balls are selected at random without...Ch. 8.1 - 2.A coin is tossed four times. Let the random...Ch. 8.1 - A die is rolled repeatedly until a 6 falls...Ch. 8.1 - Cards are selected one at a time without...Ch. 8.1 - Let X denote the random variable that gives the...Ch. 8.1 - Two cards are drawn from a well-shuffled deck of...Ch. 8.1 - In Exercises 7-12, give the range of values that...

Ch. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - In Exercises 17 and 18, find conditions on the...Ch. 8.1 - In Exercises 17-18, find conditions on the numbers...Ch. 8.1 - The probability distribution of the random...Ch. 8.1 - The probability distribution of the random...Ch. 8.1 - Suppose that the probability distribution of a...Ch. 8.1 - EXAMS An examination consisting of ten...Ch. 8.1 - Two dice are rolled. Let the random variable X...Ch. 8.1 - EMERGENCY FUND SAVINGS In a survey of 1000 people,...Ch. 8.1 - MONEY MARKET RATES The interest rates paid by 30...Ch. 8.1 - DISTRIBUTION OF FAMILIES BY SIZE The Public...Ch. 8.1 - WAITNG LINES The accompanying data were obtained...Ch. 8.1 - TELEVISION PILOTS After the private screening of a...Ch. 8.1 - SMARTPHONE OWNERSHIP BY AGE The following table...Ch. 8.1 - SMARTPHONE OWNERSHIP BY INCOME The following table...Ch. 8.1 - ACADEMY MEMBERS The following table gives the...Ch. 8.1 - FOOD EXPENDITURE AWAY FROM HOME According to a...Ch. 8.1 - FOOD EXPENDITURE AT HOME According to a report of...Ch. 8.1 - U.S. POPULATION BY AGE The following table gives...Ch. 8.1 - In Exercise 35 and 36, determine whether the...Ch. 8.1 - In Exercise 35 and 36, determine whether the...Ch. 8.1 - Graph the histogram associated with the data given...Ch. 8.1 - Graph the histogram associated with the data given...Ch. 8.1 - Graph the histogram associated with the data given...Ch. 8.1 - Graph the histogram associated with the data given...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.1 - In Exercise 510, use the data given in the table...Ch. 8.2 - What is the expected value of a random variable?...Ch. 8.2 - What is a fair game? Is the game of roulette as...Ch. 8.2 - a. If the probability of an event E occurring is...Ch. 8.2 - Find the expected value of a random variable X...Ch. 8.2 - Find the expected value of a random variable X...Ch. 8.2 - CALCULATING GPA During the first year at a...Ch. 8.2 - FAMILY COMPOSITION In a four-child family, what is...Ch. 8.2 - EXPECTED SALES On the basis of past experience,...Ch. 8.2 - CAFETERIA MILK CONSUMPTION Records kept by the...Ch. 8.2 - EXPECTED EARNINGS The daily earnings X of an...Ch. 8.2 - EXPECTED NUMBER OF DEFECTIVE PRODUCTS If a sample...Ch. 8.2 - EXPECTED NUMBER OF AUTO ACCIDENTS The numbers of...Ch. 8.2 - EXPECTED DEMAND FOR MAGAZINES The owner of a...Ch. 8.2 - EXPECTED ATM RELIABILITY A bank has two automatic...Ch. 8.2 - EXPECTED SALES The management of the Cambridge...Ch. 8.2 - PRIME INTEREST-RATE PREDICTION A panel of 50...Ch. 8.2 - FORECASTED UNEMPLOYMENT RATES A panel of 64...Ch. 8.2 - EXPECTED VALUE OF A LOTTERY TICKET In a lottery,...Ch. 8.2 - LIFE INSURANCE PREMIUMS A man wishes to purchase a...Ch. 8.2 - LIFE INSURANCE PREMIUMS A woman purchased a...Ch. 8.2 - LIFE INSURANCE PREMIUMS As a fringe benefit,...Ch. 8.2 - EXPECTED PROFIT OF A BUILDER Max built a spec...Ch. 8.2 - INVESTMENT ANALYSIS The proprietor of Midland...Ch. 8.2 - CABLE TELEVISION RIGHTS FOR A CITY The management...Ch. 8.2 - EXPECTED AUTO SALES OF A DEALERSHIP Roger Hunt...Ch. 8.2 - EXPECTED HOME SALES OF A REALTOR Sally Leonard, a...Ch. 8.2 - INVESTMENT ANALYSIS Bob, the proprietor of Midway...Ch. 8.2 - EXPECTED GROWTH FOR A BUSINESS Maria sees the...Ch. 8.2 - WEATHER PREDICTIONS Suppose the probability that...Ch. 8.2 - EXPECTED VALUE OF A ROULETTE BET In American...Ch. 8.2 - EXPECTED VALUE OF A ROULETTE BET If a player...Ch. 8.2 - EXPECTED VALUE OF A ROULETTE BET In European...Ch. 8.2 - MALE COMMUTING TIMES The following table gives the...Ch. 8.2 - FEMALE COMMUTING TIMES The following table gives...Ch. 8.2 - POPULATION BY AGE IN THE UNITED STATES The...Ch. 8.2 - POPULATION BY AGE IN CALIFORNIA The resident...Ch. 8.2 - The probability of an event E occurring is .8....Ch. 8.2 - The probability of an event E not occurring is .6....Ch. 8.2 - The odds in favor of an event E occurring are 9 to...Ch. 8.2 - The odds against an event E occurring are 2 to 3....Ch. 8.2 - ODDS OF MAKING A SALE Carmen, a computer sales...Ch. 8.2 - ODDS OF WINNING A TENNIS MATCH Steffi believes...Ch. 8.2 - ODDS OF WINNING A BOXING MATCH If a sports...Ch. 8.2 - ODDS OF CLOSING A BUSINESS DEAL Bob, the...Ch. 8.2 - EXPECTED LOSS FOR ROULETTE BET a. Show that, for...Ch. 8.2 - If X and Y are random variables and c is any...Ch. 8.2 - Wage Rates The frequency distribution of the...Ch. 8.2 - EXAM SCORES In an examination given to a class of...Ch. 8.2 - SAN FRANCISCO WEATHER The normal daily minimum...Ch. 8.2 - WAITING LINES Refer to Example 6, Section 8.1....Ch. 8.2 - BOSTON WEATHER The relative humidity, in percent,...Ch. 8.2 - WEIGHT OF POTATO CHIPS The weights, in ounces, of...Ch. 8.2 - Buzz Rankings The Buzz Scores the percent of the...Ch. 8.2 - BATTING AVERAGE The batting averages of the top...Ch. 8.2 - MINIMUM WAGE The minimum wage in the 13 states...Ch. 8.2 - In Exercises 53 and 54, determine whether the...Ch. 8.2 - In Exercises 53 and 54, determine whether the...Ch. 8.3 - a. What is the variance of a random variable X? b....Ch. 8.3 - What does the Chebychevs inequality measure?Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - The following histograms represent the probability...Ch. 8.3 - The following histograms represent the probability...Ch. 8.3 - In Exercises 9 and 10, find the variance of the...Ch. 8.3 - In Exercises 9 and 10, find the variance of the...Ch. 8.3 - An experiment consists of rolling an eight-sided...Ch. 8.3 - Happiness Score The happiness score, by...Ch. 8.3 - Birthrates The birthrates in the United States for...Ch. 8.3 - INVESTMENT ANALYSIS Paul Hunt is considering two...Ch. 8.3 - INVESTMENT ANALYSIS Rosa Walters is considering...Ch. 8.3 - The distribution of the number of chocolate chips...Ch. 8.3 - Equation 5 can also be expressed in the form...Ch. 8.3 - Find the variance of the distribution of Exercise...Ch. 8.3 - STUCK IN TRAFFIC The following table gives the...Ch. 8.3 - COST OF TAKING TIME OFF A survey was conducted of...Ch. 8.3 - CONVICTION RATES The following table gives the...Ch. 8.3 - NEW YORK STATE COURTS' TOTAL CASELOAD The...Ch. 8.3 - HOURS WORKED IN SOME COUNTRIES The number of...Ch. 8.3 - IDENTITY FRAUD The identity fraud rates in the...Ch. 8.3 - HEALTH ISSUES IN MASSACHUSETTS CITIES A random...Ch. 8.3 - DIABETES IN MASSACHUSETTS CITIES A random survey...Ch. 8.3 - HYBRID VEHICLE MILEAGE The following table gives...Ch. 8.3 - HOUSING PRICES The market research department of...Ch. 8.3 - GOVERNMENT DEBT The following table gives the...Ch. 8.3 - On-Time Arrivals The following table gives the...Ch. 8.3 - Flight Cancellations The following table gives the...Ch. 8.3 - ACCESS TO CAPITAL One of the key to determinants...Ch. 8.3 - ACCESS TO CAPITAL. Refer to Exercise 32. Milken...Ch. 8.3 - LIGHTNING INJURIES The number of injuries due to...Ch. 8.3 - Federal Libraries The federal government planned...Ch. 8.3 - Election Turnout The percentage of the voting-age...Ch. 8.3 - Existing-Home Sales a. The monthly supply in...Ch. 8.3 - Exam Scores The following table gives the scores...Ch. 8.3 - Marital Status of Men The number of married men in...Ch. 8.3 - Traffic Survey In a survey of the distances...Ch. 8.3 - A Probability distribution has mean of 42 and a...Ch. 8.3 - A Probability distribution has mean of 20 and a...Ch. 8.3 - A Probability distribution has mean of 50 and a...Ch. 8.3 - Suppose X is a random variable with and standard...Ch. 8.3 - PRODUCT RELIABILITY The deluxe ionic hair dryer...Ch. 8.3 - PRODUCT RELIABILITY A Christmas tree light has an...Ch. 8.3 - STARTING SALARIES The mean annual starting salary...Ch. 8.3 - QUALITY CONTROL Sugar packaged by a certain...Ch. 8.3 - In Exercises 49 and 50, determine whether the...Ch. 8.3 - In Exercises 49 and 50, determine whether the...Ch. 8.3 - a. Graph the histogram associated with the random...Ch. 8.3 - a. Graph the histogram associated with the random...Ch. 8.3 - 3. DRIVING AGE REQUIREMENTS The minimum age...Ch. 8.3 - 4.a. Graph the histogram associated with data...Ch. 8.3 - QUALITY CONTROL A sugar uses a machine to pack...Ch. 8.3 - MATH EXAM SCORES The scores of 25 students in a...Ch. 8.3 - HEIGHT OF WOMEN The following data, obtained from...Ch. 8.3 - AGE DISTRIBUTION IN A TOWN The following table...Ch. 8.4 - Suppose that you are given a Bernoulli experiment....Ch. 8.4 - Give the formula for the mean, variance, and...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 16, determine whether the experiment...Ch. 8.4 - In Exercises 710, find C(n,x)pxqnx for the given...Ch. 8.4 - In Exercises 710, find C(n,x)pxqnx for the given...Ch. 8.4 - In Exercises 710, find C(n,x)pxqnx for the given...Ch. 8.4 - In Exercises 710, find C(n,x)pxqnx for the given...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - A fair die is rolled four times. Calculate the...Ch. 8.4 - Let X be the number of successes in five...Ch. 8.4 - A binomial experiment consists of five independent...Ch. 8.4 - FAMILY COMPOSITION Let the random variable X...Ch. 8.4 - PRODUCT RELIABILTY The probability that a fuse...Ch. 8.4 - SPORTS If the probability that a certain tennis...Ch. 8.4 - SPORTS If the probability that a certain tennis...Ch. 8.4 - VOTERS In a certain congressional district. it is...Ch. 8.4 - ELECTIONS Three Democratic candidates in three...Ch. 8.4 - AVAILABILITY OF CUSTOMER SERVTCE Mayco, a...Ch. 8.4 - RESTAURANT HEALTH CODE VIOLATIONS Suppose 30 of...Ch. 8.4 - VIOLATIONS OF THE BUILDING CODE Suppose that one...Ch. 8.4 - EXAMS A psychology quiz consists of ten...Ch. 8.4 - SALES PREDICTIONS From experience, the manager of...Ch. 8.4 - TEEN SPENDING BEHAVIOR According to a study on...Ch. 8.4 - MAKING FRIENDS In a survey of 2541 adults aged 18...Ch. 8.4 - EXAMS A biology quiz consists of eight...Ch. 8.4 - BLOOD TYPES It is estimated that one third of the...Ch. 8.4 - SMARTPNONE DEPENDENCY In a study conducted by Bank...Ch. 8.4 - CONSUMER PREFERENCES An advertisement for Brand A...Ch. 8.4 - QUALITY CONTROL The probability that a DVD player...Ch. 8.4 - LUNCH EXPENDITURE A survey of 1020 workers in...Ch. 8.4 - BLOOD PRESSURE A study conducted in 2012...Ch. 8.4 - ACADEMY MEMBERSHIP Of the 5765 members of the...Ch. 8.4 - CREDIT SCORES In a survey of 1010 married adults,...Ch. 8.4 - WORKING WITH A SPOUSE In a survey of 1147 small...Ch. 8.4 - GETTING AHEAD AT WORK In a survey of 26612...Ch. 8.4 - JOB PREPARDENESSIn a survey of 14,167 recent...Ch. 8.4 - ROBOT RELIABILITY An automobile manufacturing...Ch. 8.4 - PROBABILITY OF ENGINE FAILUREThe probability that...Ch. 8.4 - If X is a binomial random variable associated with...Ch. 8.4 - SUPERMARKET LINES A study of the checkout lines at...Ch. 8.4 - QUALITY CONTROL The McCormack Company manufactures...Ch. 8.4 - QUALITY CONTROL The panel for 32-inch wide screen...Ch. 8.4 - QAULITY CONTROL The manager of Toy world has...Ch. 8.4 - 51.QUALITY CONTROL The manager of Toy World has...Ch. 8.4 - 51.QUALITY CONTROL The manager of Toy World has...Ch. 8.4 - MAIL ORDER SALES Ruth, the owner of mail-order...Ch. 8.4 - FLIPPING A COIN How many times must a person toss...Ch. 8.4 - FLIPPING A COIN An unbiased coin is tossed 1...Ch. 8.4 - DRUG TESTING A New drug has been found to be...Ch. 8.4 - PROBABILTY OF GRADUATING At a certain university...Ch. 8.4 - In Exercises 59-62, determine whether the...Ch. 8.4 - In Exercise 59-62, determine whether the statement...Ch. 8.4 - In Exercises 59-62, determine whether the...Ch. 8.4 - In Exercises 59-62, determine whether the...Ch. 8.5 - Consider the following normal curve with mean and...Ch. 8.5 - a. What is the difference between a normal curve...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 16, find the value of the probability...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - Let Z be the standard normal variable. Find the...Ch. 8.5 - Let Z be the standard normal variable. Find the...Ch. 8.5 - Let Z be the standard normal variable. Find the...Ch. 8.5 - Suppose X is a normal random variable with =380...Ch. 8.5 - Suppose X is a normal random variable with =50 and...Ch. 8.5 - Suppose X is a normal random variable with =500...Ch. 8.6 - What does Theorem 1, page 532, allow us to do?Ch. 8.6 - Suppose a binomial distribution is associated with...Ch. 8.6 - Medical Records The medical record of infant...Ch. 8.6 - FACTORY WORKER WAGESAccording to data released by...Ch. 8.6 - PRODUCT RELIABILTY TKK Products manufactured 50+,...Ch. 8.6 - EDUCATION On average, a student takes dictation at...Ch. 8.6 - IQsThe IQs of students at Wilson Elementary School...Ch. 8.6 - PRODUCT RELIABILITY The trend lives of the Super...Ch. 8.6 - FEMALE FACTORY WORKERS WAGES According to data...Ch. 8.6 - CIVIL SERVICE EXAMSTo be eligible for further...Ch. 8.6 - WARRANTIES The general manager of the service...Ch. 8.6 - GRADE DISTRIBUTION The scores on an economics...Ch. 8.6 - GRADE DISTRIBUTION The score on a sociology...Ch. 8.6 - HIGHWAY SPEEDS The speeds in miles per hour of...Ch. 8.6 - In Exercise 13-24, use the appropriate normal...Ch. 8.6 - A fair is coin tossed 20 times. What is the...Ch. 8.6 - CHANCE OF HITTING THE TARGET A marks man chance of...Ch. 8.6 - CHANCE OF MAKING A FREE THROW A basketball player...Ch. 8.6 - CLASSIFYING SECONDS The manager of C of C seconds...Ch. 8.6 - TELEMARKETING Jorge sells magazine subscription...Ch. 8.6 - INDUSTRIAL ACCIDENTS Colorado Mining and Minerals...Ch. 8.6 - QUALITY CONTROL PAR Bearings is the principal...Ch. 8.6 - DRUG TESTING An experiment was conducted to test...Ch. 8.6 - LOAN DELINQUENCIES The manager of Madison Finance...Ch. 8.6 - CRUISE SHIP BOOKINGS Because of late...Ch. 8.6 - THEATER OVERBOOKINGS Preview Showcase, a research...Ch. 8.CRQ - Fill in the blanks. A rule that assigns a number...Ch. 8.CRQ - Fill in the blanks. If a random variable assumes...Ch. 8.CRQ - Fill in the blanks. The expected value of a random...Ch. 8.CRQ - Fill in the blanks. a. If the probability of an...Ch. 8.CRQ - Fill in the blanks. Suppose a random variable X...Ch. 8.CRQ - Fill in the blanks. In a binomial experiment, the...Ch. 8.CRQ - Fill in the blanks. A probability distribution...Ch. 8.CRQ - Fill in the blanks. A binomial distribution may be...Ch. 8.CRE - Three balls are selected at random without...Ch. 8.CRE - LIFE INSURANCE POLICIES A man purchased a 25,000,...Ch. 8.CRE - The probability distribution of a random variable...Ch. 8.CRE - A binomial experiment consists of four trials in...Ch. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - In Exercises 13-16, let X be a normal random...Ch. 8.CRE - In Exercises 13-16, let X be a normal random...Ch. 8.CRE - In Exercises 13-16, let X be a normal random...Ch. 8.CRE - In Exercises 13-16, let X be a normal random...Ch. 8.CRE - DRIVING AGE REQUIREMENTS The minimum age...Ch. 8.CRE - ANNUAL FOOD EXPENDITURE According to the report of...Ch. 8.CRE - TRAFFIC A traffic survey of the speed of the...Ch. 8.CRE - EXPECTED PROFIT A buyer for Discount Fashions, an...Ch. 8.CRE - BOWLING A STRIKE If the probability that a bowler...Ch. 8.CRE - HEIGHTS OF WOMEN The heights of 4000 women who...Ch. 8.CRE - HEIGHTS OF WOMEN Refer to Exercise 22, Use...Ch. 8.CRE - NETFLIX REVENUE FROM STREAMING SUBSCRIBERS The...Ch. 8.CRE - MARITAL STATUS OF WOMEN The number of single women...Ch. 8.CRE - QUALITY CONTROL The proprietor of a hardware store...Ch. 8.CRE - DRUG EFFECTIVENESS An experimental drug has been...Ch. 8.CRE - QUALITY CONTROL Dayton Iron Works manufactures...Ch. 8.CRE - EXPECTED SALES The division manager of a company...Ch. 8.CRE - ON-TIME ARRIVALS Diane, who commutes regularly...Ch. 8.CRE - COIN TOSSES A coin is biased so that the...Ch. 8.CRE - QUALITY CONTROL A division of Solaron Corporation...Ch. 8.BMO - The value taken on by a random variable X and the...Ch. 8.BMO - The probability distribution for a random variable...Ch. 8.BMO - Find the mean, variance and standard deviation of...Ch. 8.BMO - A binomial experiment consists of four independent...Ch. 8.BMO - Let X be a normal random variable with =60 and =5....Ch. 8.BMO - A fair coin is tossed 30 times. Using the...

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