Question: Question 1: Mechanical pencil Hazard Function [10pts]: Hypothetically assume that the Hazard function of your mechanical pencil is given by: h(t) = 0.1t-0.5 for t

Question 1: Mechanical pencil Hazard Function [10pts]: Hypothetically assume that the Hazard function of your mechanical pencil is given by: h(t) = 0.1t-0.5 for t 2 0 hours a) Find the following for your pencil: PDF, CDF, and Reliability [6pts] b) Find the Mean Time To Failure (MTTF) of your pencil [2pts] c) What is the probability that your pencil functions properly after 1 year? [2pts]

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