An aircraft uses three active and identical engines in parallel. All engines fail independently. At least one engine must function normally for the aircraft to fly successfully. The probability of success of an engine is 0.8. Calculate the probability of the aircraft crashing. Assume that one engine can only be in two states, i.e., operating normally or failed.

Air enters a turbine operating at steady state at 6 bar, 1200 K and expands to 0.8 bar. The turbine is well insulated, and kinetic and potential energy effects can be neglected.

Assuming ideal gas behavior for the air, what is the maximum theoretical work that could be developed by the turbine in kJ per kg of air flow?

Air enters a turbine operating at steady state at 6 bar, 1600 K and expands to 0.8 bar. The turbine is well insulated, and kinetic and potential energy effects can be neglected. Assuming ideal gas behavior for the air, what is the maximum theoretical work that could be developed by the turbine in kJ per kg of air flow?

Air enters a turbine operating at steady state at 10 bar, 1200 K and expands to 0.8 bar. The turbine is well insulated, and kinetic and potential energy effects can be neglected. Assuming ideal gas behavior for the air, what is the maximum theoretical work that could be developed by the turbine in kJ per kg of air flow?

A block of wood slides on a frictionless horizontal surface. It is attached to a spring and oscillates with a period of 0.8 s. A second block rests on top of the first. The coefficient of static friction between the two blocks is 0.25.

If the amplitude of oscillations is 1.2 cm, will the block on the top slip?

What is the greatest amplitude of oscillation for which the top block will not slip?

Compare and contrast Walmart ratios with the industry ratios. following the table below.

Exponential Smoothing

With the following information, identify which alpha value would you use to forecast july-dic using exponential smoothing and why? Choose between 0.1, 0.5 or 0.8

Total marks: 50, plus 10 bonus marks for an answer in PLAN/DO/REPORT format.

An Elevating Business. The annual global market for selling elevators is worth $40bn and the annual global market for maintaining them is also worth $40bn. Just 5 companies have 80% of the market for sales: Kone, Otis, Schindler, Thyssenkrupp and Hitachi, however they have only 40% of the market for maintenance since a large number of small companies maintain elevators even though they don’t sell them. Thyssenkrupp is one of the most innovative elevator suppliers, having recently developed technology that allows elevators to move sideways and well as up and down. Another major innovator is Kone that has recently developed extra strength cables which allow very long travel heights, suited to new buildings over 100 stories high in Asia and the Middle East.

Thyssenkrupp is considering selling its elevator division, to cover financial problems in other divisions of the company. You are a financial analyst, assessing the probability of Thyssenkrupp’s elevator division being sold and to whom and also assessing the revenues if it is sold. Based on your experience in the elevator business, you estimate the following probabilities.

The probability of global sales increasing by > 2% next year is 0.25; and the probability of global maintenance revenues increasing by > 2% next year is 0.2. If at least one of these markets increases by > 2% next year, Thyssenkrupp will not sell its elevator division.

If Thyssenkrupp does want to sell, it could plan on selling to: 

a private equity company with a probability of 0.35. This would bring a quick infusion of cash to Thyssenkrupp    to assist its other divisions, 

Kone, with a probability of 0.45, resulting in a very large and innovative company, 

Otis, Schindler or Hitachi with a probability of 0.2.

If Thysennkrupp wants to sell to Kone, the deal may be prevented by European regulators with a probability of 0.65, since it would result in a single very large European elevator company which could constitute a monopoly.
(a) (20) Draw a probability tree to represent the above situation.
(b) (5) Which method of probability assessment was used to estimate the above probabilities?
(c) (10) What is the probability Thyssenkrupp does actually sell its elevator division to Kone?
(d) (15) You estimate that if Kone buys Thyssenkrupp’s elevator division the revenues will be as follows:

What is your estimate of the mean and standard deviation of the total revenues of the combined company assuming that Kone buys Thyssenkrupp’s elevator division?

1. True or False: In cluster sampling, subjects are pulled from the population in groups.

2. True or False: Sampling Error is only considered to be committed or caused by the researcher.

5. Which variable is described as the outcome variable?

A. Independent variable

B. Constant Variable

C. Dependent variable

D. Extraneous

6. Which of the following variables are continuous? Select all that apply

A. The number of people in the movie theater

B. weight of a package of hamburger meat

C. number of chairs sold in a month

D. the weight of a child

E. The height of a building

7. Which of the following are quantitative data? Select all that apply.

A. Age of your car

B. Color of your hair

C. Name of your pet

D. Length of your commute to campus

E. Height of your car

F. Height of 20 4 year olds