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In a certain fourengine

vintage aircraft, now quite unreliable, each engine

has a 10% chance of failure on any flight, as long as it is

carrying its one-fourth share of the load. But if one engine

fails, then the chance of failure increases to 20% for each of

the other three engines. And if a second engine fails, each

of the remaining two has a 30% chance of failure.

Assuming that no two

engines ever fail simultaneously,

and that the aircraft

can continue flying with as

few as two operating engines,

find each probability for a

given flight of this aircraft.

(Give answers to four decimal

places.)

no engine failures

exactly one engine failure (any one of four engines)

exactly two engine failures (any two of four engines)

a failed flight

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Reaction-Time Experiment Researchers at the University of Mississippi wanted to learn the reaction times of students to different stimuli. In the following data, the reaction times for subjects were measured after they received a simple stimulus and a go/no-go stimulus. The simple stimulus was an auditory cue, and the time from when the cue was given to when the student reacted was measured. The go/no-go stimulus required the student to respond to a particular stimulus and not respond to other stimuli. Again, the reaction time was measured. The following data were obtained:

The researchers used Minitab to test whether the simple stimulus had a lower reaction time than the go/no-go stimulus. The results of the analysis are as follows:

(a) State the null and alternative hypotheses.

(b) Is the median reaction time for the go/no-go stimulus higher than the median reaction time for the simple stimulus? Use the  level of significance. Why?

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Jason owns a sandwich deli that offers delivery service. Because of the quality of the service and the sandwiches, Jason is experiencing increased demand for his products, especially in his town’s business district. He now wants to buy a food truck to operate from 10:00 am to 2:00 pm in the business district and stop his delivery service.

a. What methods of financing, if any, should Jason consider to purchase the food truck?

b. What information will Jason need to help make his decision?

c. How might the financing decisions change if Jason also decides to open another store in the neighboring residential area?

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Assignment: As the Human Resources Manager at XYZ Industries, Inc., it is your pleasure to announce the addition of annual performance-bases bonuses for mid-level managers and above. These bonuses will require annual performance reviews to discern the amount of the bonuses. Draft a memo explaining this scenario to this specific group of employees.

Header: Begin your memo with the four standard memo heads (Date, To, From, Subject). The Subject should be the positive message.

Body/Discussion: Remember that memos do not begin with greetings or salutations. This is a direct approach announcement of positive news, so begin your first paragraph with the news. Then go on to explain what factors led to this new program (e.g. increased sales, rising stock price, market share gain, etc.) and why the decision was made to reward employees with the surplus funds. Go on to assure the employees that they deserve this reward, and thank them for their contributions to the company’s success.

The following paragraph is where you explain that the amount of bonus each employee will receive will be based on performance reviews, and tell then what department will conduct these reviews, when they will begin and when they will be finished, when employees will learn how much they will receive, and when it will be paid to them.

The final paragraph is where you explain that the company looks forward to continuing this bonus program in the future, commensurate with company performance. Thank the employees again for their outstanding contributions, and conclude the memo by indicating how the reader may contact you if he/she has any questions.

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