PLEASE EXPLAIN EVERYTHING A program is divided into 3 blocks

PLEASE EXPLAIN EVERYTHING

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.

Solution

you have a exponential distribution with mean = 5 minutes for each one

you need the expected time that it takes the program to be compiled

EXPECTED VALUE WILL BE = 5*5*5

EXPECTED VALUE = 125 minutes

you multiply the average (mean) by 3 times five because each block takes on average 5 minutes

you multiply 3 times because they are independent

EXPECTED VALUE = 125 MINUTES