Mathematical Applications for the Management, Life, and Social Sciences
11th Edition
ISBN: 9781305108042
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Chapter 7.7, Problem 40E
To determine
The generation to which the steady state vector corresponds if the transition matrix is
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Sickle cell anemia is an inherited disease in which red blood cells become distorted and
deprived of oxygen. A person with two sickle cell genes will have the disease, but a
person with only one sickle cell gene will have a mild, nonfatal anemia called sickle
cell trait. If we use s to represent
a sickle cell gene, and S a healthy gene, the
table shows the four possibilities for the
children of one healthy, SS parent, and one
parent with sicke cell trait, Ss. Find the
probability that these parents give birth to a
child who has sickle cell anemia.
S
Healthy
First Parent S
Second Parent
(with Sickle
Cell Trait)
S
SS
SS
The probability that the parents give birth to a child who has sickle cell anemia =
(Type an integer or a simplified fraction.)
S
Ss
Ss
Some traits of plants and animals depend on inheritance of a single gene. This is called Mendelian inheritance, after Gregor Mendel (1822-1884). Each of us has an ABO blood type, which describes whether two characteristics called A and B are present. Every human being has two blood type alleles (gene forms), one inherited from our mother and one from our father. Each of these alleles can be A, B, or O. Which two we inherit determines our blood type. Here is a table that shows what our blood type is for each combination of two alleles.
Alleles inherited
Blood type
A and A
A
A and B
AB
A and O
A
B and B
B
B and O
B
O and O
O
We inherit each of a parent's two alleles with probability 0.5. We inherit independently from our mother and father.
What is the probability that both children have different blood types?
Scientist Gregor Mendel (1822-1884) is often called the "father of modern genetics" and is famous for his work involving
the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y
for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant,
and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant
with genes yy will have green peas.
If a plant with two yellow genes (YY) is crossed with a plant with two green genes (yy), the result is four hybrid offspring
with genotypes Yy. The offspring will be yellow, but will carry the recessive green gene.
Parent 2
У
Yy Yy
Yy Yy
y
Parent 1
Suppose that both parent pea plants are hybrids with genotype Yy.
a. Make a chart showing the possible genotypes of the offspring.
b. What is the probability that a given offspring will have green peas?
c. What is the…
Chapter 7 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 7.1 - CHECKPOINT
1. If a coin is drawn from a box...Ch. 7.1 - CHECKPOINT
2. A ball will be drawn from a bag...Ch. 7.1 - CHECKPOINT
3. A coin is tossed, and a die is...Ch. 7.1 - 1. One ball is drawn at random from a bag...Ch. 7.1 - 2. One ball is drawn at random from a bag...Ch. 7.1 - 3. If you draw one card at random from a deck of...Ch. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - 6. A die is rolled. What is the probability...Ch. 7.1 - 7. An urn contains three red balls numbered 1, 2,...
Ch. 7.1 - 8. An urn contains three red balls numbered 1, 2,...Ch. 7.1 - 9. From a deck of 52 ordinary playing cards, one...Ch. 7.1 - 10. From a deck of 52 ordinary playing cards, one...Ch. 7.1 - 11. Suppose a fair coin is tossed two times....Ch. 7.1 - Prob. 12ECh. 7.1 - 13. Use Table 7.1 to determine the following...Ch. 7.1 - 14. (a) When a pair of distinguishable dice is...Ch. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - 17. Suppose a die is tossed 1200 times and a 6...Ch. 7.1 - 18. Suppose that a coin is tossed 3000 times and...Ch. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - 21. If the odds that a particular horse will win a...Ch. 7.1 - 22. If the odds that an event E will not occur are...Ch. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - 25. Car maintenance A car rental firm has 425...Ch. 7.1 - Prob. 26ECh. 7.1 - 27. Voting The table gives the average number of...Ch. 7.1 - Prob. 28ECh. 7.1 - 29. Sales promotion In a sales promotion, a...Ch. 7.1 - 30. Management A dry cleaning firm has 12...Ch. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - 33. Blood types Human blood is classified by blood...Ch. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - 39. Fraud A company selling substandard drugs to...Ch. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - 44. Quality control A supply of 500 plasma...Ch. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - 48. Quality control A computer store offers used...Ch. 7.1 - 49. Genetics A newly married couple plan to have...Ch. 7.1 - 50. Management A frustrated store manager is asked...Ch. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - 64. Ice cream The odds of an American home having...Ch. 7.1 - Prob. 65ECh. 7.1 - 66. Rain If the probability of rain today is ,...Ch. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.2 - CHECKPOINT
1. If a ball is drawn from a bag...Ch. 7.2 - Prob. 2CPCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - 5. An ordinary die is tossed. What is the...Ch. 7.2 - 6. A card is drawn at random from a deck of 52...Ch. 7.2 - 7. If the probability that event E will occur is...Ch. 7.2 - Prob. 6ECh. 7.2 - In Problems 7-8, a bag contains 5 red balls...Ch. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - 13. Suppose a die is biased (unfair) so that each...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - 15. A bag contains 4 white, 7 black, and 6 green...Ch. 7.2 - 16. In a game where only one player can win, the...Ch. 7.2 - 17. A cube has 2 faces painted red, 2 painted...Ch. 7.2 - Prob. 16ECh. 7.2 - 19. A ball is drawn from a bag containing 13 red...Ch. 7.2 - 20. A ball is drawn from a bag containing 13 red...Ch. 7.2 - 21. Drug use Forty-six percent of marijuana use...Ch. 7.2 - 22. Breast cancer According to the American Cancer...Ch. 7.2 - 23. Car maintenance A car rental firm has 425...Ch. 7.2 - 25. Linguistics Of 100 students, 24 can speak...Ch. 7.2 - 25. Linguistics Of 100 students, 24 can speak...Ch. 7.2 - 26. Management A company employs 65 people. Eight...Ch. 7.2 - Prob. 25ECh. 7.2 - Photography Rob Lee knows his camera will take a...Ch. 7.2 - 29. Salaries The table gives the percent of...Ch. 7.2 - Prob. 28ECh. 7.2 - 31. Workers The table gives the projected number...Ch. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - 37. Education A mathematics class consists of
16...Ch. 7.2 - 38. Parts delivery Repairing a copy machine...Ch. 7.2 - Oil drilling The table summarizes the opinions of...Ch. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - 44. Job bids Three construction companies have bid...Ch. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.3 - CHECKPOINT
1. Suppose that one ball is drawn from...Ch. 7.3 - Prob. 2CPCh. 7.3 - 1. A card is drawn from a deck of 52 playing...Ch. 7.3 - Prob. 2ECh. 7.3 - 3. A die has been “loaded so that the probability...Ch. 7.3 - 4. A die has been “loaded” so that the probability...Ch. 7.3 - 5. A bag contains 9 red balls numbered 1, 2, 3, 4,...Ch. 7.3 - Prob. 6ECh. 7.3 - 7. A bag contains 4 red balls and 6 white balls....Ch. 7.3 - 8. A fair die is rolled. Find the probability that...Ch. 7.3 - 9. A fair coin is tossed 3 times. Find the...Ch. 7.3 - 10. A fair coin is tossed 14 times. What is the...Ch. 7.3 - 11. A die is thrown twice. What is the probability...Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - 15. (a) A box contains 3 red balls, 2 white balls,...Ch. 7.3 - Prob. 16ECh. 7.3 - 17. Two balls are drawn from a bag containing 3...Ch. 7.3 - Prob. 18ECh. 7.3 - 19. A bag contains 9 nickels, 4 dimes, and 5...Ch. 7.3 - Prob. 20ECh. 7.3 - 21. A red ball and 4 white balls are in a box. If...Ch. 7.3 - 22. From a deck of 52 playing cards, two cards are...Ch. 7.3 - 23. One card is drawn at random from a deck of 52...Ch. 7.3 - Prob. 24ECh. 7.3 - 25. Two balls are drawn without replacement from a...Ch. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Carbon emissions The table gives the results of a...Ch. 7.3 - Prob. 30ECh. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Oil drilling Suppose the table summarizes the...Ch. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - 43. Quality control Each computer component that...Ch. 7.3 - Prob. 44ECh. 7.3 - 45. Lactose intolerance Lactose intolerance...Ch. 7.3 - 46. Quality control If 3% of all light bulbs a...Ch. 7.3 - 47. Quality control To test its shotgun shells, a...Ch. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - 53. Maintenance Twenty-three percent of the cars...Ch. 7.3 - Prob. 54ECh. 7.3 - 55. Testing An unprepared student must take a...Ch. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - 58. Racing Suppose that the odds that Blackjack...Ch. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - 62. Crime In an actual case.’ probability was used...Ch. 7.4 - CHECKPOINT
1. Urn I contains 3 gold coins, urn II...Ch. 7.4 - Prob. 2CPCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - In Problems 1-12, use probability trees to find...Ch. 7.4 - Prob. 4ECh. 7.4 - In Problems 1-12, use probability trees to find...Ch. 7.4 - Prob. 6ECh. 7.4 - In Problems 1-12, use probability trees to find...Ch. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - In Problems 1-12, use probability trees to find...Ch. 7.4 - Prob. 12ECh. 7.4 - In Problems 13-16, use (a) a probability tree and...Ch. 7.4 - Prob. 14ECh. 7.4 - In Problems 13-16, use (a) a probability tree and...Ch. 7.4 - In Problems 13-16, use (a) a probability tree and...Ch. 7.4 - 17. Lactose intolerance Lactose intolerance...Ch. 7.4 - 18. Genetics What is the probability that a couple...Ch. 7.4 - 19. Marksmanship Suppose that a marksman hits the...Ch. 7.4 - 20. Majors In a random survey of students...Ch. 7.4 - Quality control Suppose a box contains 3 defective...Ch. 7.4 - Prob. 22ECh. 7.4 - 23. Alcoholism A small town has 8000 adult males...Ch. 7.4 - Prob. 24ECh. 7.4 - 27. Pregnancy test A self-administered pregnancy...Ch. 7.4 - 29. Survey In a Student Activity Participation...Ch. 7.4 - Prob. 30ECh. 7.5 - CHECKPOINT
1. If a state permits either a letter...Ch. 7.5 - Prob. 2CPCh. 7.5 - Prob. 3CPCh. 7.5 - Prob. 4CPCh. 7.5 - Prob. 5CPCh. 7.5 - 1. Compute .
Ch. 7.5 - Prob. 2ECh. 7.5 - 3. Compute .
Ch. 7.5 - 4. Compute .
Ch. 7.5 - 5. Compute .
Ch. 7.5 - Prob. 6ECh. 7.5 - 7. How many four-digit numbers can be formed from...Ch. 7.5 - Prob. 8ECh. 7.5 - 9. Compute .
Ch. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - 15. Compute .
Ch. 7.5 - 16. Compute .
Ch. 7.5 - 17. Compute .
Ch. 7.5 - Prob. 18ECh. 7.5 - 19. Compute .
Ch. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - 23. Binz, not Benz Mercedes Benz E-Class sedans...Ch. 7.5 - 24. Ice cream cones Baskin-Robbins’logo includes...Ch. 7.5 - Prob. 25ECh. 7.5 - License plates If a state wants each of its...Ch. 7.5 - 28. Racing Eight horses are entered in a race. In...Ch. 7.5 - Prob. 29ECh. 7.5 - 30. Testing An examination consists of 12...Ch. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - 33. Management A department store manager wants to...Ch. 7.5 - 34. Call letters The call letters for radio...Ch. 7.5 - Prob. 35ECh. 7.5 - 36. Testing How many ways can a 10-question...Ch. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - 40. Astronauts If 8 people are qualified for the...Ch. 7.5 - 41. Sales A traveling salesperson has 30 products...Ch. 7.5 - Prob. 42ECh. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Prob. 46ECh. 7.5 - 47. Committees In how many ways can a committee...Ch. 7.5 - Prob. 48ECh. 7.6 - CHECKPOINT
1. If three wires (red, black, and...Ch. 7.6 - Prob. 2CPCh. 7.6 - 1. Education If a child is given cards with A, C,...Ch. 7.6 - Prob. 2ECh. 7.6 - Politics A poll asks voters to rank Social...Ch. 7.6 - 4. Photography Two men and a woman are lined up to...Ch. 7.6 - 5. License plates Suppose that all license plates...Ch. 7.6 - Prob. 6ECh. 7.6 - 7. ATMs
(a) An automatic teller machine requires...Ch. 7.6 - 8. Keys Keys for antique General Motors cars had...Ch. 7.6 - 9. Phone numbers If the first digit of a...Ch. 7.6 - Prob. 10ECh. 7.6 - 11. Rewards As a reward for a record year, the Ace...Ch. 7.6 - 12. Mutual funds The retirement plan for a company...Ch. 7.6 - 13. Testing In a 10-question matching test with 10...Ch. 7.6 - Prob. 14ECh. 7.6 - Quality control A box of 12 transistors has 3...Ch. 7.6 - Prob. 16ECh. 7.6 - 17. Quality control A retailer purchases 100 of a...Ch. 7.6 - Prob. 18ECh. 7.6 - 19. Banking To see whether a bank has enough...Ch. 7.6 - 20. Diversity A high school principal must select...Ch. 7.6 - 21. Diversity Suppose that an employer plans to...Ch. 7.6 - 22. Lottery Four men and three women are...Ch. 7.6 - Prob. 23ECh. 7.6 - 24. Sales A car dealer has 12 different cars that...Ch. 7.6 - 25. Diversity Suppose that two openings on an...Ch. 7.6 - Prob. 26ECh. 7.6 - 27. Management Suppose that an indecisive company...Ch. 7.6 - 28. Quality control Suppose that 10 computer chips...Ch. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - 32. Evaluation Employees of a firm receive annual...Ch. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - 35. Poker A flush (5 cards from the same suit) is...Ch. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.7 - Prob. 1CPCh. 7.7 - Can the vectors in Problems 1-4 be probability...Ch. 7.7 - Prob. 2ECh. 7.7 - Can the vectors in Problems 1-4 be probability...Ch. 7.7 - Can the vectors in Problems 1-4 be probability...Ch. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - Prob. 8ECh. 7.7 - In Problems 9-12, use the given transition matrix...Ch. 7.7 - Prob. 10ECh. 7.7 - Prob. 11ECh. 7.7 - Prob. 12ECh. 7.7 - Prob. 13ECh. 7.7 - Prob. 14ECh. 7.7 - 15. Use the matrix and initial probability vector...Ch. 7.7 - Prob. 16ECh. 7.7 - In Problems 17-20, find the steady-state vector...Ch. 7.7 - Prob. 18ECh. 7.7 - Prob. 19ECh. 7.7 - Prob. 20ECh. 7.7 - Politics Use the following information for...Ch. 7.7 - Prob. 22ECh. 7.7 - Church attendance Use the following information...Ch. 7.7 - Church attendance Use the following information...Ch. 7.7 - Church attendance Use the following information...Ch. 7.7 - Prob. 26ECh. 7.7 - Car selection Use the following information for...Ch. 7.7 - Prob. 28ECh. 7.7 - Prob. 29ECh. 7.7 - Prob. 30ECh. 7.7 - Prob. 31ECh. 7.7 - Car selection Use the following information for...Ch. 7.7 - 33. Population demographics Suppose a government...Ch. 7.7 - Prob. 34ECh. 7.7 - Prob. 35ECh. 7.7 - Prob. 36ECh. 7.7 - Prob. 37ECh. 7.7 - Prob. 38ECh. 7.7 - Prob. 39ECh. 7.7 - Prob. 40ECh. 7 - 1. If one ball is drawn from a bag containing 9...Ch. 7 - 2. Suppose a ball is drawn from a bag containing 9...Ch. 7 - 3. If the probability that an event E occurs is...Ch. 7 - 4. Suppose that a fair coin is tossed two times....Ch. 7 - 5. Suppose that a fair coin is tossed three times....Ch. 7 - 6. A card is drawn at random from an ordinary deck...Ch. 7 - 7. A deck of 52 cards is shuffled. A card is...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - 11. A bag contains 4 red balls numbered 1, 2, 3, 4...Ch. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - 19. Bag A contains 3 red, 6 black, and 5 white...Ch. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - 23. How many combinations of 8 things taken 5 at a...Ch. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - 26. Find the steady-state vector associated with...Ch. 7 - 27. Senior citizens In a certain city, 30,000...Ch. 7 - Prob. 28RECh. 7 - 29. United Nations Of 100 job applicants to the...Ch. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Productivity Suppose that in a study of leadership...Ch. 7 - 33. Quality control A product must pass an initial...Ch. 7 - Prob. 34RECh. 7 - 36. Purchasing A regional survey found that of...Ch. 7 - 38. Management A personnel director ranks 4...Ch. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - 43. License plates The RBC Heritage Classic...Ch. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - 48. Quality control A supplier has 200 compact...Ch. 7 - 49. Stocks Mr. Way must sell stocks from 3 of the...Ch. 7 - 50. Quality control A sample of 6 fuses is drawn...Ch. 7 - Income levels Use the following information for...Ch. 7 - Prob. 50RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - A bag contains three white balls numbered 1, 2, 3...Ch. 7 - A bag contains three white balls numbered 1, 2, 3...Ch. 7 - A bag contains three white balls numbered 1, 2, 3...Ch. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - 10. A cat hits the letters on a computer keyboard...Ch. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - 16. Computer chips come from two suppliers, with ...Ch. 7 - 17. A placement test is given by a university to...Ch. 7 - 18. Lactose intolerance affects about of...Ch. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - 22. A publishing company has determined that a new...
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- You are checking for underage drinking in a bar. There are four people at a table. You know that person A is drinking a soft drink, person B is drinking a cocktail, person Cis 17 years old, and person D is 22 years old. The drinking age is 21, and minors are allowed in the bar. Your job is to verify no law is being broken. The following are Y/N questions: Do you need to check person $A $'s drink or ID? Do you need to check person $B $'s drink or ID? Do you need to check person SC$'s drink or ID? Do you need to check person $D $'s drink or ID?arrow_forwardA research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 19 offspring birthed.They then observe that 0 are female.Use a sign test to test the indicated hypothesis.What is the obtained value?arrow_forwardThe figure to the right shows the results of a survey in which 1004 adults from Country A, 997 adults from Country B, 999 adults from Country C, 1000 adults from Country D, and 995 adults from Country E were asked whether national identity is strongly tied to birthplace. National Identity and Birthplace People from different countries who believe national identity is strongly tied to birthplace Country A 31% Country B 18% Country C 23% Country D 55% Country E 10% Construct a 95% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (☐.) - (Round to three decimal places as needed.)arrow_forward
- Table 2: Test Results Diabetic Not Diabetic Positive to urine test, negative to blood 7 3 Positive to blood test, negative to urine 23 11 Positive to both tests 45 7 Negative to both tests 124 7,620 ТОTAL 199 7,641 a. How do the sensitivity or specificity of each combination of the tests change when compared with single test? b. assuming you are the harried director of the diabetes screening program, which test or combination of tests would you prefer to use?arrow_forwardA research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 11 offspring birthed.They then observe that 1 are female.Use a sign test and a alpha of .05 to test the indicated hypothesis.What is the critical value?arrow_forwardMr. Andrews, a grape merchant, inquires about a certain wine that he tastes at a party. The host tells him that from a total of ten bottles of that wine, six came from the north vineyard and four came from the south vineyard. From this information, the merchant concludes that he should visit the north vineyard for a sample of the grapes. Later, he discovers that the wine in question came from a bottle labeled Classic Reserve, and 30 of 100 barrels of north vineyard wine were bottled with that label, while 130 of 200 barrels of south vineyard wine were bottled with that label. Given this new information, what is the probability that the wine came from the north vineyard? (Hint: For this exercise, use Bayes's theorem.)arrow_forward
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