Assume that for two events A and B, P(A) = 0.80, P(A|B) = P(A), and P(C|A) = 0.85. Is this a consistent assignment of probabilities?
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Problem-41: Probability I: Introductory Ideas
Problems: Probability I: Introductory Ideas
Problem-01: Probability I: Introductory Ideas
Give a collectively exhaustive list of the possible outcomes of tossing tow dice.
Problem-02: Probability I: Introductory Ideas
Give the probability for each of the following totals in the rolling of two dice: 1, 2, 5, 6, 7, 10,...
Problem-03: Probability I: Introductory Ideas
Which of the following are pairs of mutually exclusive events in the drawing of one card from a stan...
Problem-04: Probability I: Introductory Ideas
A batter "takes" (does not swing at) each of the pitches he sees. Give the sample space of outcomes ...
Problem-05: Probability I: Introductory Ideas
Consider a stack of nine cards, all spades, numbered 2 through 10, and a die. Give a collectively ex...
Problem-06: Probability I: Introductory Ideas
Consider a stack of nine cards, all spades, numbered 2 through 10, and a die. Give the probability f...
Problem-07: Probability I: Introductory Ideas
In a recent meeting of union members supporting Joe Royal for union president, Royal's leading suppo...
Problem-08: Probability I: Introductory Ideas
Southern Bell is considering the distriburion of funds for a campaign to increase long-distance call...
Problem-09: Probability I: Introductory Ideas
Union shop steward B. Lou Khollar has drafted a set of wage and benefit demands to be presented to m...
Problem-10: Probability I: Introductory Ideas
Classify the following probability estimates as to their type (Classical, relative frequency, or sub...
Problem-11: Probability I: Introductory Ideas
Determine the probability of the following events in drawing a card from a standard deck of 52 cards...
Problem-12: Probability I: Introductory Ideas
During a recent bridge game, once the lead card had been played and the dummy's hand revealed, the d...
Problem-13: Probability I: Introductory Ideas
Below is a frequency distribution of annual sales commissions from a survey of 300 media salespeople...
Problem-14: Probability I: Introductory Ideas
General Buck Turgidson is preparing to make his annual budget presentation to the U.S. Senate and is...
Problem-15: Probability I: Introductory Ideas
The office manager of an insurance company has the following data on the functioning of the copiers ...
Problem-16: Probability I: Introductory Ideas
Classify the following probability estimates as classical, relative frequency, or subjective:
The p...
Problem-17: Probability I: Introductory Ideas
Frome the following Venn diagram, which indicates the number of outcomes of an experiment correspond...
Problem-18: Probability I: Introductory Ideas
An inspector of the Alaska pipeline has the task of comparing the reliability of two pumping station...
Problem-19: Probability I: Introductory Ideas
From the following Venn diagram, which indicates the number of outcomes of an experiment correspondi...
Problem-20: Probability I: Introductory Ideas
Using this Venn diagram, give the probabilities indicated:
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Problem-21: Probability I: Introductory Ideas
An urn contains 75 marbles: 35 are blue, and 25 of these blue marbles are swirled. The rest of them ...
Problem-22: Probability I: Introductory Ideas
In this section, two expressions were developed for the probability of either of two events, A or B,...
Problem-23: Probability I: Introductory Ideas
An employee at Info tech enter product information into the computer. The employee may use a light p...
Problem-24: Probability I: Introductory Ideas
The HAL Corporation wishes to improve the resistance of its personal computer to disk-drive and keyb...
Problem-25: Probability I: Introductory Ideas
The Herr-McFee Company, which produces nuclear fuel rods,must X-ray and inspect each rod before ship...
Problem-26: Probability I: Introductory Ideas
What is the probability that in selecting two cards one at a time from a deck with replacement, the ...
Problem-27: Probability I: Introductory Ideas
Sol O'Tarry, a prison administrator, has been reviewing the prison records on attempted escapes by i...
Problem-28: Probability I: Introductory Ideas
What is the probability that a couple's second child will be
(a) A boy, given that their first chi...
Problem-29: Probability I: Introductory Ideas
In rolling two dice, what is the probability of rolling
(a) A total of 7 on the first roll, followe...
Problem-30: Probability I: Introductory Ideas
A bag contains 32 marbles: 4 are red, 9 are black,12 are blue, 6 are yellow, and 1 is purple. Marble...
Problem-31: Probability I: Introductory Ideas
George, Richard, Paul, and John play the following game. Each man takes one of four balls numbered 1...
Problem-32: Probability I: Introductory Ideas
The health department routinely conducts independent inspections of each restaurant, with the restau...
Problem-33: Probability I: Introductory Ideas
The four floodgates of a small hydroelectric dam fail and are repaired independently of each other. ...
Problem-34: Probability I: Introductory Ideas
Rob Rales is preparing a report that his employer, the titre Corporation, will eventually deliver to...
Problem-35: Probability I: Introductory Ideas
A grocery store is reviewing its restocking policies and has analyzed the number of half-gallon cont...
Problem-36: Probability I: Introductory Ideas
Bill Borde, top advertising executive for Grapevine Concepts, has just launched a publicity campaign...
Problem-37: Probability I: Introductory Ideas
According to a survey, the probability that a family owns two cars if its annual income is greater t...
Problem-38: Probability I: Introductory Ideas)
Friendly's Department Store has been the target of many shoplifters during the past month, but owing...
Problem-39: Probability I: Introductory Ideas
Two events, A and B, are statistically dependent. If P(A)=0.39, P(B)=0.21, and P(A or B)=0.47, find ...
Problem-40: Probability I: Introductory Ideas
Given that P(A) = 3/14, P(B) = 1/3, P(AC) = 1/7 , and P(B|C) = 5/21, find the following probabilitie...
Problem-41: Probability I: Introductory Ideas
Assume that for two events A and B, P(A) = 0.80, P(A|B) = P(A), and P(C|A) = 0.85. Is this a consist...
Problem-42: Probability I: Introductory Ideas
At a soup kitchen, a social worker gathers the following data. Of those visiting the kitchen, 59 per...
Problem-43: Probability I: Introductory Ideas
During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents ...
Problem-44: Probability I: Introductory Ideas
If a hurricane forms in the eastern half of the Gulf of Mexico, there is a 76 percent chance that it...
Problem-45: Probability I: Introductory Ideas
Al Cascade, president of the Litre Corporation, is studying his company's chances of being awarded a...
Problem-46: Probability I: Introductory Ideas
A company is considering upgrading its computer system and a major portion of the upgrade is new ope...
Problem-47: Probability I: Introductory Ideas
The university's library has been randomly surveying patrons over the last month to see who is using...
Problem-48: Probability I: Introductory Ideas
The southeast regional manager of General Express, a parcel-delivery firm, is worried about the like...
Problem-49: Probability I: Introductory Ideas
Given: The probabilities of three events, A, B, and C, occurring are P(A)= 0.35, P(B)= 0.45, and P(C...
Problem-50: Probability I: Introductory Ideas
A doctor has decided to prescribe two new drugs to 200 heart patients as follows: 50 get drug B, and...
Problem-51: Probability I: Introductory Ideas
Two related experiments are performed. The first has three possible mutually exclusive outcomes: A,B...
Problem-52: Probability I: Introductory Ideas
Martin Coleman, credit manager for Back's knows that the company uses three methods to encourage col...
Problem-53: Probability I: Introductory Ideas
A public interest group was planning to make a court challenge to auto insurance rates in one of thr...
Problem-54: Probability I: Introductory Ideas
EconOcon is planning its company picnic. The only thing that will cancel the picnic is a thunderstor...
Problem-55: Probability I: Introductory Ideas
An independent research group has been studying the chances that an accident at a nucler power plant...
Problem-56: Probability I: Introductory Ideas
A physical therapist at Enormous State University knows that the football team will play 40 percent ...
Problem-57: Probability I: Introductory Ideas
The physical therapist from Exercise 4-48 is interested in studying the relationship between foot in...
Problem-58: Probability I: Introductory Ideas
A state Democratic official has decided that changes in the state unemployment rate will have a majo...
Problem-59: Probability I: Introductory Ideas
T.C Fox, marketing director for Metro-Goldmine Motion pictures, believes that the studio's upcoming ...
Problem-60: Probability I: Introductory Ideas
"The chance of rain today is 80 percent." Which of the following best explains this statement?Contac...
Problem-61: Probability I: Introductory Ideas
Studies have shown that the chance of a new car being a "lemon"(One with multiple warranty problems)...
Problem-62: Probability I: Introductory Ideas
Isaac T.Olduso, an engineer for Atlantic Aircraft, disagrees, with his supervisor about the likeliho...
Problem-63: Probability I: Introductory Ideas
Congressman Bob Forehead has been thinking about the upcoming midterm elections and has prepared the...
Problem-64: Probability I: Introductory Ideas
Which of the following pairs of events are mutually exclusive?
(a) A defense department contractor ...
Problem-65: Probability I: Introductory Ideas
The scheduling offi cer for a local police department is trying to decide whether to schedule additi...
Problem-66: Probability I: Introductory Ideas
The Environmental Protection Agency is trying to assess the pollution effect of a paper mill that is...
Problem-67: Probability I: Introductory Ideas
The American Cancer Society is planning to mail out questionnaires concerning breast cancer. From pa...
Problem-68: Probability I: Introductory Ideas
McCormick and Tryon, Inc., is a “shark watcher,” hired by fi rms fearing takeover by larger companie...
Problem-69: Probability I: Introductory Ideas
As the administrator of a hospital, Cindy Turner wants to know what the probability is that a person...
Problem-70: Probability I: Introductory Ideas
An air traffi c controller at Dulles Airport must obey regulations that require her to divert one of...
Problem-71: Probability I: Introductory Ideas
In a staff meeting called to address the problem of returned checks at the supermarket where you are...
Problem-72: Probability I: Introductory Ideas
Working Mother magazine got the following results when it polled some of its readers concerning the ...
Problem-73: Probability I: Introductory Ideas
Which of the following pairs of events are statistically independent?
(a) The times until failure o...
Problem-74: Probability I: Introductory Ideas
F. Liam Laytor, supervisor of customer relations for GLF Airlines, is studying his company’s overboo...
Problem-75: Probability I: Introductory Ideas
An electronics manufacturer is considering expansion of its plant in the next 4 years. The decision ...
Problem-76: Probability I: Introductory Ideas
Draw Venn diagrams to represent the following situations involving three events, A, B, and C, which ...
Problem-77: Probability I: Introductory Ideas
Cartoonist Barry Bludeau sends his comics to his publisher via Union Postal Delivery. UPD uses rail ...
Problem-78: Probability I: Introductory Ideas
Determine the probability that
(a) Both engines on a small airplane fail, given that each engine fa...
Problem-79: Probability I: Introductory Ideas
Two-fi fths of clients at Show Me Realty come from an out-of-town referral network, the rest are loc...
Problem-80: Probability I: Introductory Ideas
A senior North Carolina senator knows he will soon vote on a controversial bill. To learn his consti...
Problem-81: Probability I: Introductory Ideas
The breakdown by political party of the 435 members of the U.S. House of Representatives before and ...
Problem-82: Probability I: Introductory Ideas
A produce shipper has 10,000 boxes of bananas from Ecuador and Honduras. An inspection has determine...
Problem-83: Probability I: Introductory Ideas
Marcia Lerner will graduate in 3 months with a master’s degree in business administration. Her schoo...
Problem-84: Probability I: Introductory Ideas
A standard set of pool balls contains 15 balls numbered from 1 to 15. Pegleg Woodhull, the famous bl...
Problem-85: Probability I: Introductory Ideas
BMT, Inc., is trying to decide which of two oil pumps to use in its new race car engine. One pump pr...
Problem-86: Probability I: Introductory Ideas
Sandy Irick is the public relations director for a large pharmaceutical fi rm that has been attacked...
Problem-87: Probability I: Introductory Ideas
The pressroom supervisor for a daily newspaper is being pressured to find ways to print the paper cl...
Problem-88: Probability I: Introductory Ideas
Refer to Exercise 4-83. The supervisor has noted that the web tore during each of the last four runs...
Problem-89: Probability I: Introductory Ideas
Airlines serve as ''flagship carriers'' in Europe, and for symbolic and strategic reasons, many have...
Problem-90: Probability I: Introductory Ideas
In the summer of 1995, Boeing successfully introduced into commercial airline service the 777, a lar...
Minhajur Rahaman
