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The transfer function is y = x1 + 5x2, where X1 ~ N(5,12)
and X2 ~ N(5,22). Which statement is true about the shape
of y? [QID 809]




1) It must be a normal distribution since the means of the
inputs are identical.



2) It will be a normal distribution.



3) It cannot be a normal distribution since the standard
deviations of the inputs are different.



4) It is not normal.

Answer Posted / Chandra Prakash Yadav

It cannot be a normal distribution since the standard deviations of the inputs are different.

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