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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
Refer to Exercise 4.186. Resistors used in the construction of an aircraft guidance system have life lengths that follow a Weibull distribution with m = 2 and α = 10 (with measurements in thousands of hours).
a Find the probability that the life length of a randomly selected resistor of this type exceeds 5000 hours.
b If three resistors of this type are operating independently, find the probability that exactly one of the three will burn out prior to 5000 hours of use.
Exercise 4.186.
The random variable Y, with a density function given by
               ![]()
is said to have a Weibull distribution. The Weibull density function provides a good model for the distribution of length of life for many mechanical devices and biological plants and animals. Find the mean and variance for a Weibull distributed random variable with m = 2.
Â
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