The lifetime of a widget, measured in thousands of operating hours (OH), is modeled as a Weibull random variable with parameters α=3 and β=1. a) What is the probability that the lifetime of the widget will exceed 1,000 operating hours? b) What is the probability that the lifetime will exceed 1,000 OH, given that the component has already lasted 0.5 thousand OH? c) What is the expected value of the lifetime OH of the widget?

The lifetime of a widget, measured in thousands of operating hours (OH), is modeled as a Weibull random variable with parameters α=3 and β=1. a) What is the probability that the lifetime of the widget will exceed 1,000 operating hours? b) What is the probability that the lifetime will exceed 1,000 OH, given that the component has already lasted 0.5 thousand OH? c) What is the expected value of the lifetime OH of the widget?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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