Finite Mathematics for the Managerial, Life, and Social Sciences
12th Edition
ISBN: 9781337405782
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter 8.3, Problem 36E
To determine
To find:
The mean and the standard deviation of the voting-age population who casts ballots in presidential elections from
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The percentages of police officers who are women are listed in the table for various city
populations.
City Populatio (in
thousands)
City Population Used to Represent City Population (in
Percent
thousands)
0-9.999
8.3
10-24.999
17.5
7.5
25-49.999
37.5
8.5
50-99.999
75
9.4
100-249.999
175
11.7
250 or more
300
17
Source: FBI Uniform Crime Report
Let f(n) be the percentage of police officers who are women in cities with populations of n
thousand. A model of the situation is f(n) = 0.00006n + 0.012n + 7.884.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the
scattergram of the data. Does the model fit the data well?
O The function is a good model for the data.
O The function is not a good model for the data
Glen Ellyn, Illinois, has a population of 43.98 thousand. Estimate the percentage of police officers in
Glen Ellyn who are women.
Round to 1 decimal place.
Find t when f(t) = 8.
t =
Round each to 1 decimal place.
What does it mean in this…
The percentages of police officers who are women are listed in the table for various city
populations.
City Populatio (in
thousands)
City Population Used to Represent City Population (in
Percent
thousands)
0-9.999
8.3
10-24.999
17.5
7.5
25-49.999
37.5
8.5
50-99.999
75
9.4
100-249.999
175
11.7
250 or more
300
17
Source: FBI Uniform Crime Report
Let f(n) be the percentage of police officers who are women in cities with populations of n
thousand. A model of the situation is f(n) = 0.00006n? + 0.012n + 7.884.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the
scattergram of the data. Does the model fit the data well?
O The function is a good model for the data.
O The function is not a good model for the data
Glen Ellyn, Illinois, has a population of 43.98 thousand. Estimate the percentage of police officers in
Glen Ellyn who are women.
Round to 1 decimal place.
Find t when f(t) = 8.
t =
Round each to 1 decimal place.
What does it mean in this…
The percentages of police officers who are women are listed in the table for various city
populations.
City Populatio (in
thousands)
City Population Used to Represent City Population (in
thousands)
Percent
0-9.999
5
8.3
10-24.999
17.5
7.5
25-49.999
37.5
8.5
50-99.999
75
9.4
100-249.999
175
11.7
250 or more
300
17
Source: FBI Uniform Crime Report
Let f(n) be the percentage of police officers who are women in cities with populations of n
thousand. A model of the situation is f(n) = 0.00006n² + 0.012n + 7.884.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the
scattergram of the data. Does the model fit the data well?
O The function is not a good model for the data
O The function is a good model for the data.
Glen Ellyn, Illinois, has a population of 73.6 thousand. Estimate the percentage of police officers in
Glen Ellyn who are women.
Round to 1 decimal place.
Find n when f(n)
= 13.
n =
Round each to 1 decimal place.
What does it mean in this…
Chapter 8 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Prob. 2CQCh. 8.1 - Prob. 3CQCh. 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 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7E
Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - In Exercises 17-18, find conditions on the numbers...Ch. 8.1 - Prob. 19ECh. 8.1 - The probability distribution of the random...Ch. 8.1 - Prob. 21ECh. 8.1 - EXAMS An examination consisting of ten...Ch. 8.1 - Two dice are rolled. Let the random variable X...Ch. 8.1 - Prob. 24ECh. 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 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 1TECh. 8.1 - Prob. 2TECh. 8.1 - Prob. 3TECh. 8.1 - Prob. 4TECh. 8.1 - Prob. 5TECh. 8.1 - Prob. 6TECh. 8.1 - Prob. 7TECh. 8.1 - Prob. 8TECh. 8.1 - Prob. 9TECh. 8.1 - Prob. 10TECh. 8.2 - What is the expected value of a random variable?...Ch. 8.2 - Prob. 2CQCh. 8.2 - Prob. 3CQCh. 8.2 - Prob. 1ECh. 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 - Prob. 4ECh. 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 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 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 - Prob. 17ECh. 8.2 - LIFE INSURANCE PREMIUMS As a fringe benefit,...Ch. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 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 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - ODDS OF MAKING A SALE Carmen, a computer sales...Ch. 8.2 - Prob. 39ECh. 8.2 - ODDS OF WINNING A BOXING MATCH If a sports...Ch. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Wage Rates The frequency distribution of the...Ch. 8.2 - Prob. 45ECh. 8.2 - SAN FRANCISCO WEATHER The normal daily minimum...Ch. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - MINIMUM WAGE The minimum wage in the 13 states...Ch. 8.2 - Prob. 53ECh. 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 - Prob. 2CQCh. 8.3 - Prob. 1ECh. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - In Exercises 9 and 10, find the variance of the...Ch. 8.3 - Prob. 10ECh. 8.3 - An experiment consists of rolling an eight-sided...Ch. 8.3 - Happiness Score The happiness score, by...Ch. 8.3 - Prob. 13ECh. 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 - Prob. 17ECh. 8.3 - Prob. 18ECh. 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 - Prob. 21ECh. 8.3 - NEW YORK STATE COURTS' TOTAL CASELOAD The...Ch. 8.3 - Prob. 23ECh. 8.3 - IDENTITY FRAUD The identity fraud rates in the...Ch. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 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 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 1TECh. 8.3 - Prob. 2TECh. 8.3 - Prob. 3TECh. 8.3 - Prob. 4TECh. 8.3 - Prob. 5TECh. 8.3 - Prob. 6TECh. 8.3 - Prob. 7TECh. 8.3 - Prob. 8TECh. 8.4 - Suppose that you are given a Bernoulli experiment....Ch. 8.4 - Prob. 2CQCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - A binomial experiment consists of five independent...Ch. 8.4 - FAMILY COMPOSITION Let the random variable X...Ch. 8.4 - Prob. 21ECh. 8.4 - SPORTS If the probability that a certain tennis...Ch. 8.4 - Prob. 23ECh. 8.4 - VOTERS In a certain congressional district. it is...Ch. 8.4 - Prob. 25ECh. 8.4 - AVAILABILITY OF CUSTOMER SERVTCE Mayco, a...Ch. 8.4 - RESTAURANT HEALTH CODE VIOLATIONS Suppose 30 of...Ch. 8.4 - Prob. 28ECh. 8.4 - EXAMS A psychology quiz consists of ten...Ch. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 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 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - CONSUMER PREFERENCES An advertisement for Brand A...Ch. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - BLOOD PRESSURE A study conducted in 2012...Ch. 8.4 - Prob. 40ECh. 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 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - ROBOT RELIABILITY An automobile manufacturing...Ch. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.5 - Consider the following normal curve with mean and...Ch. 8.5 - Prob. 2CQCh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.6 - What does Theorem 1, page 532, allow us to do?Ch. 8.6 - Prob. 2CQCh. 8.6 - Medical Records The medical record of infant...Ch. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - IQsThe IQs of students at Wilson Elementary School...Ch. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - WARRANTIES The general manager of the service...Ch. 8.6 - Prob. 10ECh. 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 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - CHANCE OF MAKING A FREE THROW A basketball player...Ch. 8.6 - Prob. 17ECh. 8.6 - TELEMARKETING Jorge sells magazine subscription...Ch. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - CRUISE SHIP BOOKINGS Because of late...Ch. 8.6 - Prob. 24ECh. 8.CRQ - Fill in the blanks. A rule that assigns a number...Ch. 8.CRQ - Prob. 2CRQCh. 8.CRQ - Prob. 3CRQCh. 8.CRQ - Prob. 4CRQCh. 8.CRQ - Prob. 5CRQCh. 8.CRQ - Prob. 6CRQCh. 8.CRQ - Fill in the blanks. A probability distribution...Ch. 8.CRQ - Prob. 8CRQCh. 8.CRE - Prob. 1CRECh. 8.CRE - LIFE INSURANCE POLICIES A man purchased a 25,000,...Ch. 8.CRE - Prob. 3CRECh. 8.CRE - Prob. 4CRECh. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - Prob. 6CRECh. 8.CRE - Prob. 7CRECh. 8.CRE - Prob. 8CRECh. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - Prob. 10CRECh. 8.CRE - Prob. 11CRECh. 8.CRE - Prob. 12CRECh. 8.CRE - Prob. 13CRECh. 8.CRE - Prob. 14CRECh. 8.CRE - Prob. 15CRECh. 8.CRE - Prob. 16CRECh. 8.CRE - DRIVING AGE REQUIREMENTS The minimum age...Ch. 8.CRE - Prob. 18CRECh. 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 - Prob. 23CRECh. 8.CRE - NETFLIX REVENUE FROM STREAMING SUBSCRIBERS The...Ch. 8.CRE - Prob. 25CRECh. 8.CRE - Prob. 26CRECh. 8.CRE - Prob. 27CRECh. 8.CRE - Prob. 28CRECh. 8.CRE - Prob. 29CRECh. 8.CRE - ON-TIME ARRIVALS Diane, who commutes regularly...Ch. 8.CRE - Prob. 31CRECh. 8.CRE - Prob. 32CRECh. 8.BMO - Prob. 1BMOCh. 8.BMO - Prob. 2BMOCh. 8.BMO - Prob. 3BMOCh. 8.BMO - Prob. 4BMOCh. 8.BMO - Prob. 5BMOCh. 8.BMO - A fair coin is tossed 30 times. Using the...
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- Civil War Estimates of the Confederate Armys strength and losses for the battle of Gettysburg are given in the following table, where strength is the number of soldiers immediately preceding the battle and loss indicates a soldier who was killed, wounded, captured, or missing. Source: Regimental Strengths and Losses at Gettysburg. Unit Strength Loss I Corps Longstreet 20,766 7661 II Corps Ewell 20,666 6603 III Corps Hill 22,083 8807 Cavalry Stuart 6621 286 Total 70,076 22,557 a. Find the probability that a randomly selected confederate soldier was from the III Corps. b. Find the probability that a confederate soldier was lost in the battle. c. Find the probability that a I Corps soldier was lost in the battle. d. Which group had the highest probability of not being lost in the battle? e. Which group had the highest probability of loss?arrow_forwardThe percentages of police officers who are women are listed in the table for various city populations. City Populatio (in thousands) City Population Used to Represent City Population (in thousands) Percent 0-9.999 5 8.3 10-24.999 17.5 7.5 25-49.999 37.5 8.5 50-99.999 75 9.4 100-249.999 175 11.7 250 or more 300 17 Source: FBI Uniform Crime Report Let f(n) be the percentage of police officers who are women in cities with populations of n thousand. A model of the situation is f(n) = 0.00006n2 + 0.012n + 7.884. Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? The function is a good model for the data. O The function is not a good model for the data Glen Ellyn, Illinois, has a population of 232.34 thousand. Estimate the percentage of police officers in Glen Ellyn who are women. Round to 1 decimal place. Find t when f(t) = 13. t = Round each to 1 decimal place.arrow_forwardThe director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in Circulation Library on This Subject Number of Books in Sample on This Subject Business 32% 274 Humanities 25% 214 Natural Science 20% 211 Social Science 15% 111 All other subjects 8% 78 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are different.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same.H0: The…arrow_forward
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