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UPSC Civil Service Exam Questions - Engineering

Q1:

Based on the Gaussian law of distribution of random errors, the number of errors that are expected to exceed the limit of ± a, where 0 represents the standard deviation, out of 1000 observations is

A 317

B 46

C 30

D 3

ANS:A - 317

Based on Gaussian law.

68.3% no. of errors at limit +/- 1a.
95.4% w/in +/- 2a.
99.7% w/in +/- 3a.

Therefore; no.of errors = 1000-(1000 * 68.3/100) = 317.