Given that error are additive where is rms error (standard deviation) and 2 is t

Question

Given that error are additive where is rms error (standard deviation) and 2 is the variance of any error distribution. The errors are related by the following expression: _T^2= _1^2+ _2^2+ _3^2 The total admissible error variance for a system is 70 and two of the three subsystem rms errors are 4 (value of x) and 6 (value of y). What is the largest acceptable integer value of the third error source z if all the errors are independent and additive? Recalculate your answer if the error model is based on the relationship: Total Error is a function of 2x + y + z Note when expression has 2x in the error relationship, the variance is given by 22.x2

Explanation / Answer

The largest permissible integer value for the third error source is 3.

If the function is 2X+Y+Z then total error = (4×9)+16+36 =88

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