Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 28 weeks and standard deviation 14 weeks. (a) What is the probability that a transistor will last between 14 and 28 weeks? (Round your answer to three decimal places.) 0.341 (b) What is the probability that a transistor will last at most 28 weeks? (Round your answer to three decimal places.) 0.5 Is the median of the lifetime distribution less than 28? Why or why not? The median is less than v 28, since P(X s ) = .5. (c) What is the 99th percentile of the lifetime distribution? (Round your answer to the nearest whole number.) 61 (d) Suppose the test will actually be terminated after t weeks. What value of t is such that only 0.5% of all transistors would still be operating at termination? (Round your answer to the nearest whole number.) t = |weeks You may need to use the appropriate table in the Appendix of Tables to answer this question.

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 28 weeks and standard deviation 14 weeks. (a) What is the probability that a transistor will last between 14 and 28 weeks? (Round your answer to three decimal places.) 0.341 (b) What is the probability that a transistor will last at most 28 weeks? (Round your answer to three decimal places.) 0.5 Is the median of the lifetime distribution less than 28? Why or why not? The median is less than v 28, since P(X s ) = .5. (c) What is the 99th percentile of the lifetime distribution? (Round your answer to the nearest whole number.) 61 (d) Suppose the test will actually be terminated after t weeks. What value of t is such that only 0.5% of all transistors would still be operating at termination? (Round your answer to the nearest whole number.) t = |weeks You may need to use the appropriate table in the Appendix of Tables to answer this question.

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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