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The CEO of the engine manufacturer wants to reassure customers. He promises that in the next month, there will not be multiple engine failures (no more than 1 failure).
Assume the probability of failure is exponential.
Question 1: The CEO asks you to calculate the probability that they are correct: What is the probability there will be no more than a single engine failure in the next month?
Note: Making promises to reassure customers and then asking to hear the numbers. This would never happen in the real-world, by the way.
The engine manufacturer above has observed that their engine control modules (ECM) fail as a direct function of how many hours they are active. The mean time between failures for the ECM is 50,000 operating hours. Accounting has determined that the company cannot profitably afford to pay for the repair of more than 12% of the ECM modules produced.
Question 2: What do you estimate to be the maximum acceptable warranty period (in operating hours) so that the company does not end up having to exceed the guidance for acceptable fraction of units repaired under warranty?
There are 10 questions on a true-false test. A student feels unprepared for this test and randomly guesses the answer for each of these.
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The firm's best assessment is a .3 probability of strong demand. the expected value of perfect information about demand is?
Determine the best replacement policy over the next five years?
The Central Limit Theorem states that the sampling distribution of means is:
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What's the expected value of sample information? How much might the physicians be willing to pay for a market study?
from a group of 7 paintings 3 are water colors and 4 are oils. in how many ways can you hang 3 paintings along a wall
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