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Question 17.SP.3: A path in a network has three activities. Their standard dev...

A path in a network has three activities. Their standard deviations are 1.50, 0.80, and 1.30. Find the path standard deviation.

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Standard deviations cannot be added, but variances can be added. Square each standard deviation to obtain its variance, and then add the resulting variances to obtain the path variance:

Standard Deviation Variance
1.50 2.25
0.80 0.64
1.30 1.69
4.58 (path variance)

The square root of the path variance is the path standard deviation:

\sqrt{4.58} = 2.14 (path standard deviation)

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