Discussion
Why does feedback not reduce noise arriving at the amplifier's input?
Answer: D
Noise entering at the input is indistinguishable from signal, so the loop amplifies both and the ratio between them is unchanged. Bandwidth, location relative to the network and correlation are all beside the point. Feedback improves the signal-to-noise ratio only for noise generated inside the loop, such as a later stage's hum; the input stage's own noise is untouched, which is why low-noise design still begins with the first device. Framing the question as which quantity the change acts upon makes the answer follow without calculation.
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