If X has failure rate function r(t), show that E[X]=E[(1)/(r(X))] .

Name: Problem 8, Chapter 5: Introductory to Probability Models
Uploaded: 2021-09-14T11:40:32-08:00
Duration: 1 min 4 s
Channel: Ma. Theresa Alin
Description: If X has failure rate function r(t), show that E[X]=E[(1)/(r(X))] .

Question

If  X  has failure rate function  r(t),  show that  E[X]=E[(1)/(r(X))]  .

Ma. Theresa Alin · Accepted Answer

step 1 For this problem, we want to show that E raised x plus 1 grows at the same rate as E raised to x

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