Question: A program is divided into 3 blocks that are being compiled on 3 parallel computers. Each block takes an Exponential amount of time, 5 minutes

A program is divided into 3 blocks that are being compiled on 3 parallel computers. Each block takes an Exponential amount of time, 5 minutes on the average, independently of other blocks. The program is completed when all the blocks are compiled. Compute the expected time it takes the program to be compiled.

The answer is 9.17 minutes. The solution says to find the cdf first, then pdf, then use pdf to find expectation. Why do we need to find the cdf first, then the pdf to find the expectation???

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