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# HW7 - ESI 6321 APPLIED PROBABILITY METHODS FOR ENGINEERS...

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Prof. Edwin Romeijn ESI 6321 Applied Probability Methods For Engineers Homework 7 Spring 2008 ESI 6321 APPLIED PROBABILITY METHODS FOR ENGINEERS Homework 7 – Spring 2008 Reading material: Sections 17.1 and 17.2 from Hayter (Coursepack II), as well as the course slides. Note : the material in the slides goes beyond the material in Hayter! Problems: 17.1.4, 17.1.5, 17.2.2, as well as the following 3 problems: Problem 1: Consider the system of problem 17.1.2. However, now suppose that the components have the following constant failure rates (where λ i denotes the failure rate of component i ): λ 1 = 0.01, λ 2 = 0.10, λ 3 = 0.01, λ 4 = 0.05, and λ 5 = 0.08. Moreover, suppose that components 4 and 5 are configured as standby parallel, with component 4 the primary unit. Provide an expression for the overall system reliability as a function of time. Problem 2: Consider Problem 17.2.7. Note : the parameterization of the Weibull distribution in the coursepack is different from that in the slides: parameters ( a , λ ) in the coursepack correspond to m=a and θ =1/ λ in the slides.

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• Spring '07
• JosephGeunes
• Failure rate, Weibull distribution, HAYTER, applied probability methods, Prof. Edwin Romeijn, Edwin Romeijn Homework

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HW7 - ESI 6321 APPLIED PROBABILITY METHODS FOR ENGINEERS...

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