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The standard deviation of linear dimensions P and O are 3 μm and 4 μm, respectively. When assembled, the standard deviation (in μm) of the resulting linear dimension (P+ Q) is_____.
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- 5
- 6
- 4
- 3
Correct Option: A
P = 3 µ m (Standard deviate)
Variance of P = 9 µm
Standard deviate of Q = 4 µm
Variance of Q is 16 µm
∴ Variance of P & Q = 9 + 16 = 25
Standard deviation of P & Q
⇒ √variance = √25 = 5
