Determine the pdf and expected value of w

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A system consists of three independent components X, Y, and Z whose lifetimes are exponentially distributed with means 1/λX, 1/λY and 1/λZ, respectively. Determine the PDF and expected value of W, the time until the system fails (or the lifetime of the system), under the following system configurations:

a. The components are connected in series

b. The components are connected in parallel

c. The components are connected in a backup mode with X used first, then Y, and then Z.

Reference no: EM131828416

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