Question 5: Component Reliability and Burn-in [30pts] Assume a component has a constant failure rate: a) Derive an expression for the probability that the component survives its MTTF. [10pts] b) Derive an expression for the probability that the component will fail within t1 hours, when you know that the machine was functioning at to hours (t1 > to). [10pts] c) Your boss is unhappy with the reliability of the component. He recently went to a reliability seminar and wants to use "burn-in\" to increase the reliability. Will this work, and why, or why not? [10pts]