=+40. When used to model lifetimes of components, a probability distribution is said to be memoryless if,
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=+40. When used to model lifetimes of components, a probability distribution is said to be “memoryless”
if, for a component that has already lasted (without failure) for t hours, the probability that it lasts for another s hours does not depend on t. That is, P(x $ t 1 sux $ t) 5 P(x $ s). Show that the exponential distribution is memoryless.
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Related Book For
Applied Statistics For Engineers And Scientists
ISBN: 9781133111368
3rd Edition
Authors: Jay L. Devore, Nicholas R. Farnum, Jimmy A. Doi
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