The Bump mapping channel in Maya uses any texture you assign to it, to create bumps on the material's surface. The alpha channel of the texture is used to determine the bumpiness factor. We reduced the Bump Depth in Maya to reduce the extend to which the texture creates the bump effect on the surface. Go to the Noise texture's parameters in the Attribute Editor and change the Noise Type to 'Wispy'. It gives you a different type of noise texture. You can increase the Frequency Ratio to increase the level of noisiness. You can use the 'Amplitude' to control the alpha channel's contrast between black and white regions in the texture and thus control the level of bumpiness it causes on the material in Maya.

Feel free to experiment with the parameters in Maya and see the result by doing a render every time. There is nothing more important than experimentation when you learn Maya.