Elementary Statistics 2nd Edition
2nd Edition
ISBN: 9781259724275
Author: William Navidi, Barry Monk
Publisher: McGraw-Hill Education
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Chapter 5, Problem 11CQ
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
An article in Business Week discussed the large spread between the federal funds rate and the average credit card rate. The table below is a frequency distribution of
the credit card rate charged by the top 100 issuers.
Credit Card Rates
Credit Card Rate
Frequency
18% -23%
19
17% -17.9%
16
16% -16.9%
31
15% -15.9%
26
14% -14.9%
Copy Data
8
Step 1 of 2: Calculate the average credit card rate charged by the top 100 issuers based on the frequency distribution. Round your answer to two decimal places.
Chapter 5 Solutions
Elementary Statistics 2nd Edition
Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 9-12, determine whether the statement...Ch. 5.1 - In Exercises 9--12, determine whether the...Ch. 5.1 - In Exercises 9-12, determine whether the statement...Ch. 5.1 - Prob. 12ECh. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...
Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - A fair coin has probability 0.5 of coming up...Ch. 5.1 - Roulette wheels in Nevada have 38 pockets. They...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - How probable is it? Someone computes the...Ch. 5.1 - Do you know SpongeBob? According to a survey by...Ch. 5.1 - Who will you vote for? In a survey of 500 likely...Ch. 5.1 - Job satisfaction: In a poll conducted by the...Ch. 5.1 - True-false exam: A section of an exam contains...Ch. 5.1 - A coin flip: A coil is tossed twee times. The...Ch. 5.1 - Empirical Method: A coin is tossed 400 times and...Ch. 5.1 - Empirical Method: A die is rolled 600 times. On 85...Ch. 5.1 - Pitching: During a recent season, pitcher Clayton...Ch. 5.1 - More Pitching: During a recent season, pitcher Jon...Ch. 5.1 - Risky drivers: An automobile insurance company...Ch. 5.1 - Prob. 36ECh. 5.1 - Roulette: A Nevada roulette wheel has 38 pockets....Ch. 5.1 - More roulette: Refer to Exercise 37. What is the...Ch. 5.1 - Get an education: The General Social Survey asked...Ch. 5.1 - How many kids? The General Social Survey asked...Ch. 5.1 - Hospital visits: According to Agency for...Ch. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Find the probability: What is the probability that...Ch. 5.1 - Find the probability: What is the probability that...Ch. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - If P(A)=0.75,P(B)=0.4, and P(AandB)=0.25, and...Ch. 5.2 - If P(A)=0.45,P(B)=0.7, and P(AandB)=0.65, find...Ch. 5.2 - If P(A)=0.2,P(B)=0.5, and A and B are mutually...Ch. 5.2 - If P(A)=0.7,P(B)=0.1, and A and B are mutually...Ch. 5.2 - If P(A)=0.3,P(B)=0.4, and P(A and B =0.7, are A...Ch. 5.2 - If P(A)=0.5,P(B)=0.4, and P(A and B =0.8, are A...Ch. 5.2 - If P(A)=0.35, find P(AC).Ch. 5.2 - If P(B)=0.6, find P(BC).Ch. 5.2 - If P(AC)=0.27, find P(A).Ch. 5.2 - If P(BC)=0.64, find P(B).Ch. 5.2 - If P(A)=0, find P(AC).Ch. 5.2 - If P(A)=P(AC), find P(A).Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 31 and 32, find the complements of...Ch. 5.2 - In Exercises 31 and 32, find the complements of...Ch. 5.2 - Traffic lights: A commuter passes through two...Ch. 5.2 - Dice: Two fair dice are rolled. The first die is...Ch. 5.2 - Car repairs: Let E be the event that a new car...Ch. 5.2 - Sick computers: Let V be the event that a computer...Ch. 5.2 - Computer purchases: Out of 800 large purchases...Ch. 5.2 - Visit your local library: On a recent Saturday. a...Ch. 5.2 - How are your grades? In a recent semester at a...Ch. 5.2 - Statistics grades: In a statistics class of 30...Ch. 5.2 - Sick children: There are 25 students in Mrs. Bushs...Ch. 5.2 - Flawed parts: On a certain day, a foundry...Ch. 5.2 - Prob. 43ECh. 5.2 - The following table presents the number of reports...Ch. 5.2 - Add probabilities? In a certain community, 28% of...Ch. 5.2 - Add probabilities? According to the National...Ch. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Let A and B be events with P(A)=0.4,P(B)=0.7, and...Ch. 5.3 - Let A and B be events with P(A)=0.6,P(B)=0.4, and...Ch. 5.3 - Let A and B be events with P(A)=0.2 and P(B)=0.9....Ch. 5.3 - Let A and B be events with P(A)=0.5 and P(B)=0.7....Ch. 5.3 - Let A and B be events with P(A)=0.8,P(B)=0.1, and...Ch. 5.3 - Let A and B be events with P(A)=0.3,P(B)=0.5, and...Ch. 5.3 - Let A, B, and C be independent events with...Ch. 5.3 - Let A, B, and C be independent events with...Ch. 5.3 - A fair is tossed four times. What is the...Ch. 5.3 - A fair coin is tossed four times. What is the...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - Let A and B be events with P(A)=0.25,P(B)=0.4, and...Ch. 5.3 - Let A and B be events with P(A)=0.6,P(B)=0.9, and...Ch. 5.3 - Let A and B be events with P(A)=0.4,P(B)=0.5, and...Ch. 5.3 - Let A and B be events with P(A)=0.5,P(B)=0.3, and...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - Prob. 36ECh. 5.3 - Job interview: Seven people, named Anna, Bob,...Ch. 5.3 - Shuffle: Charles has songs on a playlist. Each...Ch. 5.3 - Lets eat: A fast-food restaurant chain has 600...Ch. 5.3 - U.S. senators: The following table displays the...Ch. 5.3 - Genetics: A geneticist is studying two genes. Each...Ch. 5.3 - Quality control: A population of 600 semiconductor...Ch. 5.3 - Stay in school: In a recent school year in the...Ch. 5.3 - Management: The Bureau of Labor Statistics...Ch. 5.3 - GED: In a certain school. the probability that a...Ch. 5.3 - Prob. 46ECh. 5.3 - New car: At a certain car dealership, the...Ch. 5.3 - Prob. 48ECh. 5.3 - Target practice: Laura and Philip each fire one...Ch. 5.3 - Bowling: Sarah and Thomas are going bowling. The...Ch. 5.3 - Defective components: A lot of 10 components...Ch. 5.3 - More defective components: A lot of 1000...Ch. 5.3 - Prob. 53ECh. 5.3 - Multiply probabilities? A traffic light at an...Ch. 5.3 - Lottery: Every day: Jorge buys a lottery ticket....Ch. 5.3 - Car warranty: The a certain make of car will need...Ch. 5.3 - Tic-tac-toe: In the game of tic-tac-toe, fall...Ch. 5.3 - Enter your PIN: The technology consulting company...Ch. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Prob. 65ECh. 5.4 - In Exercises 7 and 8, fill in the blank with the...Ch. 5.4 - In Exercises 7 and 8, fill in the blank with the...Ch. 5.4 - Prob. 9ECh. 5.4 - Exercises 9 and 10, determine whether the...Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 9!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 5!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 0!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 12!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 1!Ch. 5.4 - Prob. 16ECh. 5.4 - In Exercises 17-22, evaluate the permutation. 7P3Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 8P1Ch. 5.4 - In Exercises 17-22, evaluate the permutation....Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 5P4Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 20P0Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 45P5Ch. 5.4 - In Exercises 23-28, evaluate the combination. 9C5Ch. 5.4 - In Exercises 23-28, evaluate the combination. 7C1Ch. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - In Exercises 23-28, evaluate the combination. 12C0Ch. 5.4 - Prob. 28ECh. 5.4 - Pizza time: A local pizza parlor is offering a...Ch. 5.4 - Books: Josephine has chemistry books, three...Ch. 5.4 - Playing the horses: In horseracing, one can make a...Ch. 5.4 - Ice cream: A certain ice cream parlor offers 15...Ch. 5.4 - License plates: In a certain state, license plates...Ch. 5.4 - Committee: The Student Council at a certain school...Ch. 5.4 - Day and night shifts: A company has hired 12 new...Ch. 5.4 - Keep your password safe: A computer password...Ch. 5.4 - Its in your genes: Hunan genetic material ONA) is...Ch. 5.4 - Choosing officers: A committee consists of 10...Ch. 5.4 - Texas hold'em, In the game of Texas hold'em, a...Ch. 5.4 - Blackjack: In single-deck casino blackjack the...Ch. 5.4 - Lottery: In the Georgia Fantasy 5 Lottery, balls...Ch. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5 - Fill in the blank: The probability that a fair...Ch. 5 - Prob. 2CQCh. 5 - State each of the following rules: General...Ch. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - In a group of 100 teenagers, 61 received their...Ch. 5 - A certain has 100 households. Forty-eight...Ch. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Statistics, anyone? Let S be the event that a...Ch. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Defective parts: A process manufactures...Ch. 5 - Music to my ears: Jeri is listening to songs on a...Ch. 5 - Prob. 9RECh. 5 - Heart attack: The following table presents the...Ch. 5 - Rainy weekend: Sally is planning to go away for...Ch. 5 - Prob. 12RECh. 5 - Required courses: Refer to Exercise 12. Assume the...Ch. 5 - Bookshelf: Bart has books: a novel, a biography, a...Ch. 5 - Prob. 15RECh. 5 - Prob. 1WAICh. 5 - Prob. 2WAICh. 5 - Prob. 3WAICh. 5 - Prob. 4WAICh. 5 - Sometimes events are in the form at least a given...Ch. 5 - Prob. 6WAICh. 5 - Prob. 7WAICh. 5 - Prob. 8WAICh. 5 - The following table is a life table, reproduced...Ch. 5 - Prob. 2CSCh. 5 - Prob. 3CSCh. 5 - The following table is a life table, reproduced...Ch. 5 - The following table is a life table, reproduced...Ch. 5 - Prob. 6CSCh. 5 - Prob. 7CSCh. 5 - In Exercise 1-5, we computed the probability that...Ch. 5 - Prob. 9CS
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