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The management of Cecilia First Bank was concerned about the potential loss that might occur in the even of a physical catastrophe such as a power failure or fire. The bank estimated the loss from one of these incidents could be as much as $100 million including the losses due to interrupted service and cusotmer relations. The cost of the generator is $800,000 and if it is installed, no losses from any incidents will be incurred. However, if it is not installed, there is 10% chance that a power outage will occur during the next year. If there is an outage, there is a .05 probability that the resulting losses will be very large, approximately $ 80 million in lost earnings. Also, it is estimated that there is a .95 probability of only slight losses of around $ 1 million. What is the best scenario for the bank , as when using a decision tree analysis, whether the bank should buy a new generator or not?
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
Problems on Ages and Finding the measure of an angle with the given two sides.
Determine the exact value of cos (α - β)- terminal side in the second quadrant
80 books will be divided among 6 people. No two people will receive the same number of books. Find the maximum number of books
Find the sum or difference as a product of sines or cosines.
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
Find the probability that a male resident who was newly diagnosed with AIDS in 1998 contracted it via homosexual contact. Find the probability that a female resident who was newly diagnosed with AIDS in 1998 contracted it via intravenous drug use.
Find the constant of variation and write an equation of direct variation -
What is the average number of customers at the tax service, whether waiting for the tax preparer or having the return prepared?
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
State null & alternative hypotheses
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
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