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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose that Y is a continuous random variable with distribution function given by F(y) and probability density function f (y). We often are interested in conditional probabilities of the form P(Y ≤ y|Y ≥ c) for a constant c.
a Show that, for y ≥ c,
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b Show that the function in part (a) has all the properties of a distribution function.
c If the length of life Y for a battery has a Weibull distribution with m = 2 and α = 3 (with measurements in years), find the probability that the battery will last less than four years, given that it is now two years old.
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