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.
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Answer / Chandra Prakash Yadav
It cannot be a normal distribution since the standard deviations of the inputs are different.
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