Finite Mathematics for the Managerial, Life, and Social Sciences
12th Edition
ISBN: 9781337405782
Author: Soo T. Tan
Publisher: Cengage Learning
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Textbook Question
Chapter 8.4, Problem 1CQ
Suppose that you are given a Bernoulli experiment.
a. How many outcomes are there in each trial?
b. Can the number of trials in the experiment vary, or is it fixed?
c. Are the trial in the experiment dependent?
d. If the probability of success in any trial is
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
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x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
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No.
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ALABAMA
Rand No.
0.925957526
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ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
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F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
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3
2 ALASKA
0.4493186 OKLAHOMA
k
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3 ARIZONA
0.707914 KANSAS
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4 ARKANSAS 0.4831379 NORTH DAKOTA
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5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
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7:ONNECTICU 0.7640596 ILLINOIS
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8 DELAWARE 0.5783029 MISSOURI
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The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
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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