A company is considering upgrading its computer system and a major portion of the upgrade is new operating system. The company has asked an engineer for an evaluation of the operating system. Suppose the probability of a favorable evaluation is 0.65. If the probability the company will up-grade its system given a favorable evaluation is 0.85, what is the probability that the company will upgrade and receive a favorable evaluation?

Solution

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: Contact us for the solution

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...

Probability I: Introductory Ideas

Problem-46: Probability I: Introductory Ideas

Solution

Problems: Probability I: Introductory Ideas

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