This homework is intended to be completed using the software R

3. To complete a job a worker must go through 5 stages in a sequence. The time to complete Stage-2' is an Exponential (A,) random variable, 1 S i S 5, with A1 = 0.2, A2 = 0.1, A3 = 0.2, A4 = 0.5, A5 = 1. However, after completing Stage-i the worker goes to Stage-(2'+ 1) with probability 04,- or quits the job with probability (1 oz,-), 1 S 2' S 4, where a1 = 0.5, a2 = 0.5 a3 = 0.25 a4 = 0.25. Let X be the amount of time spent by the worker on the job. Estimate E[X] by generating 50 i.i.d. copies of X