Why is an AM signal likely to be more noisy than a FM signal upon transmission through a channel?

Why is an AM signal likely to be more noisy than a FM signal upon transmission through a channel ?

An AM signal likely to be more noisy than FM signal through a channel because in case of AM, the instantaneous voltage of carrier waver waves is varied by the modulating wave voltage So, during the transmission, noise signals can also be added and receiver assumes noise a part of the modulating signal. In case of FM, the frequency of carrier waves is changed as the change in the instantaneous voltage of modulating waves. This can be done by mixing and not while the signal transmitting in channel. So, noise does not affect FM signal or simply we can say that noise signals are difficult to filter out in AM reception whereas FM receivers easily filter out noise.,Important point: In frequency modulation m,f, (frequency modulation index) is inversely proportional to modulating frequency f,m,. While in PM it does not vary with modulating frequency. Moreover, FM is more noise immune.