Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 8.3, Problem 43E
To determine
The probability that Dan LaChapelle does not call his customer from Scottsdale, if he randomly call on 4 of his 6 prospects.
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LARLINALG8 7.1.021.
Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
2 -2 5
0 3 -2
0-1 2
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(1, 2, 13) =
·( )
a basis for each of the corresponding eigenspaces
X1
x2
=
x3 =
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LARLINALG8 7.1.041.
Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.)
λ=
1 0 1
045
002
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12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
Chapter 8 Solutions
Finite Mathematics (11th Edition)
Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 1-12, evaluate the factorial or...
Ch. 8.1 - Prob. 11ECh. 8.1 - In Exercises 1 evaluate the factorial or...Ch. 8.1 - How many different types of homes are available if...Ch. 8.1 - A menu offers a choice of 3 salads, 8 main dishes,...Ch. 8.1 - Prob. 15ECh. 8.1 - In a club with 16 members, how many ways can a...Ch. 8.1 - Define permutation in your own words.Ch. 8.1 - Explain the difference between distinguishable and...Ch. 8.1 - Prob. 19ECh. 8.1 - In Example 6, how many unordered 2-letter subsets...Ch. 8.1 - Prob. 21ECh. 8.1 - A printer has 5 A's, 4 B's, 2 C's, and 2 D's. How...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Life Sciences Drug Sequencing Twelve drugs have...Ch. 8.1 - Prob. 35ECh. 8.1 - Science Conference At an annual college science...Ch. 8.1 - Social Sciences Social Science Experiment In an...Ch. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Union Elections A chapter of union Local 715 has...Ch. 8.1 - Prob. 41ECh. 8.1 - Programming Music A zydeco band from Louisiana...Ch. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - IP Addresses Every computer or other device...Ch. 8.1 - License Plates For many years, the state of...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Traveling Salesman In the famous Traveling...Ch. 8.1 - Prob. 55ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - In how many ways can a hand of 6 red cards he...Ch. 8.2 - Prob. 13ECh. 8.2 - An economics club has 31 members. (a) If a...Ch. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - In Exercises #x2013;24, decide whether each...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 23ECh. 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 - Assembly Line Sampling Five items are to be...Ch. 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 - Social Sciences Legislative Committee A...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Passwords A certain website requires users to log...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and yellow apples....Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - Two cards are drawn at random from an ordinary...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 22ECh. 8.3 - Discuss the relative merits of using tree diagrams...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - For Exercises 25-28, refer to Example 6 in this...Ch. 8.3 - Prob. 27ECh. 8.3 - For Exercises 25- refer to Example 6 in this...Ch. 8.3 - After studying all night for a final exam, a...Ch. 8.3 - Prob. 30ECh. 8.3 - If the letters l, i, t, t, l, and e are chosen at...Ch. 8.3 - If the letters M, i, s. s. i, s, s, i, p, p, and i...Ch. 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 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Social Sciences Election Ballots Five names are...Ch. 8.3 - Native American Council At the first meeting of a...Ch. 8.3 - Prob. 46ECh. 8.3 - Education At a conference promoting excellence in...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Lottery An article in The New York Times...Ch. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Football During the 1988 college football season,...Ch. 8.3 - Prob. 74ECh. 8.3 - Bingo Bingo has become popular in the United...Ch. 8.3 - Prob. 76ECh. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has 5 children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled times. Find the probabilities of...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - How do you identify a probability problem that...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Quality Control A factory tests a random sample of...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Pecans Pecan producers blow air through the pecans...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Prob. 37ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Births of Twins The probability that a birth will...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Minority Enrollment According to the U.S....Ch. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 59ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 3ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 5ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 7ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 9ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 11ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 13ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 15ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 17ECh. 8.5 - Suppose one day Mary brings a 2-headed coin and...Ch. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Business and Economics Complaints A local used-car...Ch. 8.5 - Payout on Insurance Policies An insurance company...Ch. 8.5 - Device Failure An insurance policy on an...Ch. 8.5 - Prob. 33ECh. 8.5 - Rating Sales Accounts Levi Strauss and Company...Ch. 8.5 - Prob. 35ECh. 8.5 - Life Sciences Animal Offspring In a certain animal...Ch. 8.5 - Ear Infections Otitis media, or middle ear...Ch. 8.5 - Hospitalization Insurance An insurance policy pays...Ch. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - The Hog Game In the hug game, each player states...Ch. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8 - Refer to the example and find the following. (a)...Ch. 8 - Which policy lends to the lowest expected cost?Ch. 8 - In the example, p1 + p2 + p3 = 0.09 + 0.24 + 0.17...Ch. 8 - Suppose an item to be repaired might need one of n...Ch. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Determine whether each of the following statements...Ch. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Explain under what circumstances a permutation...Ch. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - In Exercises 41 and (a) give a probability...Ch. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Contests At one time, game boards for a United...Ch. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RE
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