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Unformatted text preview: CEE 597 - Risk Analysis and Management Midterm Exam I 0 Test is open book and open notes. You have 50 minutes to complete this 50 point exam. 1. (10 points) A manufacturing plant had only 1 serious injury in the packaging facility in 3 years. Recently more complex but energy-efficient equipment ~ V C I S installed, and 2 serious injuries occurred in the first 6 months. At what significance level does this data support the hypothesis that the new and more complex equipment results in more injuries than the old equipment (i.e. for what value of a is this suffic~c)nt evidence to reject the hypothesis of equal safety for a one-sided test)? Be clear how you set up your test, and what is your test statistic. 2. A research team going into the field will need a portable computer for a critical experiment. To be sure one is available and working, they pack in 2 portable computers and 3 battery packs. Assume that failures of computers and the necessary battery packs are independent. 2a) (10 points) (i) Draw a fault tree to allow calculation of the failure probability for this system, and (ii) Calculate the system's failure probability if computers fail when needed with a 5% probability, and battery packs fail with a 10% probability. 2b) (8 points) (i) Draw a network dia~ram to describe how the operation of the compone~~ts (called C1, C2 and B1, 82, 83) is related to the system's operation. (ii) Which of the following best describes the system: parallel system series sys tem parallel systems in series series systems in parallel complex system (equivalent to'saying none of the above) CEE 597 - Risk Analysis and Management Midterm Exam 3) (10 points) There is a concern with fatalities caused by serious fires in people's homes. When a serious house fire occurs from any cause, assume that it will kill either 0, 1, 2, 3, more people with the following probabilities: P e o p l e K i l l e d Probability 0 0.70 1 0.10 2 0.10 3 0.05 more 0.05 The frequency of fires from different causes in the community are: Space Heating Equipment 0.6/yr Cooking/Ki tchen activities O.Q/yr O....
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- Spring '07
- Statistical hypothesis testing, gas tanks, Rear-end collision, Management midterm exam