Concept explainers
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.
*4.186 The random variable Y, with a density
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.
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