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If to, tp and tm are the optimistic, pessimistic, and most likely time estimates of activity respectively, the expected time t of the activity will be
1. (to+3tm+tp)/2
2. (to+3tm+tp)/3
3. (to+4tm+tp)/4
4. (to+4tm+tp)/5
5. (to+4tm+tp)/6

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Correct Answer - Option 5 : (to+4tm+tp)/6

Concept:

The PERT (Project Evaluation and Review Technique) technique is used, when activity time estimates are stochastic in nature. For each activity, three values of time (optimistic, most likely, pessimistic) are estimated.

  • Optimistic time (to) estimate is the shortest possible time required for the completion of the activity
  • Most likely time (tm) estimate is the time required for the completion of activity under normal circumstances
  • Pessimistic time (tp) estimate is the longest possible time required for the completion of the activity


In PERT expected time of an activity is determined by using the below-given formula:

\({t_e} = \frac{{\left( {{t_o} + 4{t_m} + {t_p}} \right)}}{6}\)

Where,

t0 = optimistic time, tp – pessimistic time, tm = most likely time

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