The time till failure of a part, T years, has the probability density function below and is zero elsewhere, where k is a constant. i. Sketch a graph of the failure rate against time. ii. What does the shape of this graph tell you?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter21: Simulation
Section21.5: Simulations With Continuous Random Variables
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The time till failure of a part, T years, has the probability density function below and is
zero elsewhere, where k is a constant.

i. Sketch a graph of the failure rate against time.
ii. What does the shape of this graph tell you?

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