9. Now suppose the electronic components from Question 48 is assumed to have a lognormal distribution. Again assuming the average lifespan of these components is 250 hours, and that the variance of the under- lying normal distribution is o2 = 2 ... (a) Find the mean of the underlying normal distribution, p. (b) Find the median lifespan of these components. (c) Find the proportion of components with a lifespan less than 200 hours.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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49. Now suppose the electronic components from Question 48 is assumed to have a lognormal distribution.
Again assuming the average lifespan of these components is 250 hours, and that the variance of the under-
lying normal distribution is o² = 2 ...
(a) Find the mean of the underlying normal distribution, p.
(b) Find the median lifespan of these components.
(c) Find the proportion of components with a lifespan less than 200 hours.
(d) Find the proportion of components with a lifespan greater than 275 hours.
Transcribed Image Text:49. Now suppose the electronic components from Question 48 is assumed to have a lognormal distribution. Again assuming the average lifespan of these components is 250 hours, and that the variance of the under- lying normal distribution is o² = 2 ... (a) Find the mean of the underlying normal distribution, p. (b) Find the median lifespan of these components. (c) Find the proportion of components with a lifespan less than 200 hours. (d) Find the proportion of components with a lifespan greater than 275 hours.
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