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UPSC Civil Service Exam Questions - Engineering

Q1:

The optimistic, most likely and pessimistic time estimates of an activity are 5, 10 and 21 days respectively. What are the expected time and standard deviation ?

A 12, 3

B 11, 4

C 11,

D 10, 16

ANS:C - 11,

12, 3 is the right answer.
Te = (5+4*10+21)/6 = 11.66 = 12.
Standard deviation = (21-5)/6 = 2.67 = 3.