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Posted: **Mon Nov 15, 2021 10:37 am**

: 5 2 Suppose That A Certain System Contains A Key Component 1 Which Has An Identical Backup Component 2 In An Off 1 (29.76 KiB) Viewed 104 times

: 5 2 Suppose That A Certain System Contains A Key Component 1 Which Has An Identical Backup Component 2 In An Off 2 (11.9 KiB) Viewed 104 times

(5) 2. Suppose that a certain system contains a key component #1 which has an identical backup component # 2 in an "off" state until needed. #2 *L #1 The length of life of a component X, i = 1, 2, measured in thousands of hours, has a uniform distribution on the interval [1,3]. a) Find the cdf and the pdf of a lifetime X of a system.

b) Find EX and determine the probability that the system will not fail before 2400 hours. Hint: consider the joint pdf of Xi and X2.