Question: (5) 2. Suppose that a certain system contains a key component #1 which has an identical backup component # 2 in an off state

(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\" 0 *l_ #1 The length of

life of a component X ,3, i = 1, 2, measured in

(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\" 0 *l_ #1 The length of life of a component X ,3, i = 1, 2, measured in thousands of hours, has a uniform distribution on the interval [1, 3]. a) Find the edf 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 hour-s. Hint: consider the joint pdf of X1 and X2

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