A project takes 20 days along the critical path and has a standard deviation of 4 days. How many days does it take to complete the project?

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. 20 days
  2. 24 days
  3. 18 days
  4. 16 days

Answer (Detailed Solution Below)

Option 2 : 24 days
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Detailed Solution

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Concept:

Probability can be calculated by using probability factor (Z) which is defined as, 

\(Z=\frac{T_s-T_e}{\sigma}\)

where, Ts = Schedule completion time

Te = Expected completion time

\(\sigma=\) Standard deviation

Z = Probability factor depending on probability

Calculation:

Given: Te = 20 days, \(\sigma=4days\)

For 84.13 %, Z = 1

\(1=\frac{T_s-20}{4}\)

\(T_s=20+4=24days\)

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