Answer:
The standard deviation of the critical path = 5
Step-by-step explanation:
The formula for the standard deviation of a critical path is given as:
Standard deviation of a path
=√(sum of variances of activities on path)
Variance = (Standard deviation)²
In the above question, we are given:
Standard deviation of 1, 2, 4 and 2 days
Standard deviation of a critical path
=√(sum of variances of activities on path)
= √1² + 2² + 4² + 2²
= √1 + 4 + 16 + 4
= √25
= 5