Let Y be a random variable denoting the age at which a piece of equipment fails. In reliability theory, the probability that an item fails at time y given that it has survived until time y is called the hazard rate, h(y). In terms of the pdf and cdf,

Find h(y) if Y has an exponential pdf (see Question 3.4.8).

Transcribed Image Text:

fr (y) 1- Fy (y) h(y)=