Given that error are additive where is rms error standard de

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

Solution

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