Because P(Y y
Chapter 4, Problem 4.193(choose chapter or problem)
Because P(Y y|Y c) = F(y) F(c) 1 F(c) has the properties of a distribution function, its derivative will have the properties of a probability density function. This derivative is given by f (y) 1 F(c) , y c. We can thus find the expected value of Y , given that Y is greater than c, by using E(Y |Y c) = 1 1 F(c) " c y f (y) dy. If Y , the length of life of an electronic component, has an exponential distribution with mean 100 hours, find the expected value of Y , given that this component already has been in use for 50 hours.
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