GATE ME 2017 Set 2 — Question 24
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Metrology, CIM & Additive Mfg → Metrology & Inspection → Tolerance Stack-Up
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Question
The standard deviation of linear dimensions P and Q are and , respectively. When assembled, the standard deviation (in ) of the resulting linear dimension (P+Q) is ___________
Correct answer
5 to 5
Solution
For independent random variables and , the variance of their sum is the sum of their variances:
Given standard deviations:
Then,
The standard deviation of the assembly is:
.
Given standard deviations:
Then,
The standard deviation of the assembly is:
.
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