Finite Mathematics
Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 8.1, Problem 17E

In Exercises 11–18, (a) say what an appropriate sample space is; (b) complete the following sentence: “X is the rule that assigns to each …”; and (c) list the values of X for all the outcomes. [hinT: See Example 1.]

The mathematics final exam scores for the students in your study group are 89%, 85%, 95%, 63%, 92%, and 80%.

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- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?
Shading a Venn diagram with 3 sets: Unions, intersections, and... The Venn diagram shows sets A, B, C, and the universal set U. Shade (CUA)' n B on the Venn diagram. U Explanation Check A- B Q Search 田

Chapter 8 Solutions

Finite Mathematics

Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 6ECh. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 110, classify the random variable X...
Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 13ECh. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - The random variable X has the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 23ECh. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - 2010 Income Distribution up to $100,000 The...Ch. 8.1 - 2003 Income Distribution up to $100,000 Repeat...Ch. 8.1 - Population Age in Mexico The following chart shows...Ch. 8.1 - Population Age in the United States Repeat...Ch. 8.1 - Sport Utility VehiclesTow Ratings The following...Ch. 8.1 - Housing Prices Going into the Real Estate Bubble...Ch. 8.1 - Stock Market Gyrations The following chart shows...Ch. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Test Scores Your scores for the 20 surprise math...Ch. 8.1 - Car Purchases To persuade his parents to...Ch. 8.1 - Car Purchases Carmines parents, not convinced of...Ch. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 46ECh. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Give an example of a real-life situation that can...Ch. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 6ECh. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 9ECh. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 14ECh. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 21 and 22, graph the histogram of the...Ch. 8.2 - Prob. 22ECh. 8.2 - Internet Addiction The probability that a randomly...Ch. 8.2 - Prob. 24ECh. 8.2 - 1990s Internet Stock Boom According to a July 1999...Ch. 8.2 - 1990s Internet Stock Boom According to the article...Ch. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Manufacturing Your manufacturing plant produces...Ch. 8.2 - Manufacturing Compute the probability distribution...Ch. 8.2 - Prob. 31ECh. 8.2 - Other Teenage Pastimes According to the study...Ch. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Triple Redundancy To ensure reliable performance...Ch. 8.2 - IQ Scores Mensa is a club for people who have high...Ch. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Product Testing It is known that 65% of all the...Ch. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Highway Safety According to a study,18 a male...Ch. 8.2 - Prob. 44ECh. 8.2 - Mad Cow Disease In March 2004 the U.S. Department...Ch. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 9ECh. 8.3 - Give a sample of five scores with mean 100 and...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Stock Market Gyrations Following is a sample of...Ch. 8.3 - Stock Market Gyrations Following is a sample of...Ch. 8.3 - Gold The following figures show the price of gold...Ch. 8.3 - Silver The following figures show the price of...Ch. 8.3 - Supermarkets A survey of 52 U.S. supermarkets...Ch. 8.3 - Video Arcades Your company, Sonic Video, Inc., has...Ch. 8.3 - School Enrollment The following table shows the...Ch. 8.3 - School Enrollment Repeat Exercise 35, using the...Ch. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - 2010 Income Distribution up to $100,000 The...Ch. 8.3 - 2003 Income Distribution up to $100,000 Repeat...Ch. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Roulette A roulette wheel has the numbers 1...Ch. 8.3 - Roulette A roulette wheel has the numbers 1...Ch. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Spiders Your pet tarantula, Spider, has a .12...Ch. 8.3 - Exercises 51 and 52 assume familiarity with...Ch. 8.3 - Exercises 51 and 52 assume familiarity with...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Insurance The Blue Sky Flight Insurance Company...Ch. 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 - Prob. 68ECh. 8.3 - Slim tells you that the population mean is just...Ch. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Prob. 74ECh. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 11ECh. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 13ECh. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Popularity Ratings In your bid to be elected class...Ch. 8.4 - Popularity Ratings Your candidacy for elected...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Sport Utility Vehicles Following are highway...Ch. 8.4 - Sport Utility Vehicles Following are the city...Ch. 8.4 - Shopping Malls A survey of all the shopping malls...Ch. 8.4 - Prob. 34ECh. 8.4 - 2010 Income Distribution up to $100,000 The...Ch. 8.4 - Prob. 36ECh. 8.4 - Hispanic Employment: Male The following table...Ch. 8.4 - Hispanic Employment: Female Repeat Exercise 37,...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Batmobiles The average life span of a Batmobile is...Ch. 8.4 - Spiderman Coupes The average life span of a...Ch. 8.4 - Teenage Pastimes According to a study,51 the...Ch. 8.4 - Prob. 44ECh. 8.4 - Teenage Marketing In 2000, 22% of all teenagers in...Ch. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Video Arcades Your company, Sonic Video, Inc., has...Ch. 8.4 - Prob. 49ECh. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - Prob. 63ECh. 8.4 - Prob. 64ECh. 8.4 - Prob. 65ECh. 8.4 - Prob. 66ECh. 8.4 - Prob. 67ECh. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 71ECh. 8.4 - Prob. 72ECh. 8.4 - Prob. 73ECh. 8.4 - Prob. 74ECh. 8.4 - Prob. 75ECh. 8.4 - Prob. 76ECh. 8.4 - Prob. 77ECh. 8.4 - Prob. 78ECh. 8.4 - Prob. 79ECh. 8.4 - Prob. 80ECh. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Prob. 11ECh. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Prob. 13ECh. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Prob. 22ECh. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 200 times, what is the...Ch. 8.5 - Prob. 26ECh. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - Prob. 28ECh. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - Baseball The mean batting average in major league...Ch. 8.5 - Baseball The mean batting average in major league...Ch. 8.5 - Prob. 39ECh. 8.5 - Marketing Your hot sauce company rates its sauce...Ch. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Distribution of Income If we model after-tax...Ch. 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 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Aviation The probability of a plane crashing on a...Ch. 8.5 - Prob. 60ECh. 8.5 - Prob. 61ECh. 8.5 - Prob. 62ECh. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.5 - Prob. 65ECh. 8.5 - Prob. 66ECh. 8.5 - Prob. 67ECh. 8.5 - Prob. 68ECh. 8.5 - Prob. 69ECh. 8.5 - Prob. 70ECh. 8.5 - Prob. 71ECh. 8.5 - Prob. 72ECh. 8.5 - Prob. 73ECh. 8.5 - Prob. 74ECh. 8 - In Exercises 16, find the probability distribution...Ch. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - In Exercises 16, find the probability distribution...Ch. 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 - A die is constructed in such a way that rolling a...Ch. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 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 - In Exercises 2934 the mean and standard deviation...Ch. 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 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Mac vs. Windows On average, 5% of all hits by Mac...Ch. 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. 1CSCh. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Which of the following lists of data would you...Ch. 8 - Prob. 6CSCh. 8 - Prob. 7CSCh. 8 - Prob. 8CS
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