https://gateoverflow.in/2308/gate1993-11
This question can also be solved as a probability question where the random space contains (M1),(M1,M2),(M1,M2,M3) and let X be the random variable which gives the time for any of the three options selected from the sample space and correspondingly we give the PMF for each time selected and then we find the expectation??
Am I correct with my logic??