4. Assume continuous intensity values, and suppose that the intensity values of an image have the PDF pr") = 2r/(L 1)2 for 0 S r S L 1 and 1),.(1') = 0 for other values ofr. (a). Find the transformation function that will map the input intensity values, 1', into values, 5, of a histogram-equalized image. (b). Find the transformation function that (when applied to the histogram-equalized intensities, s) will produce an image whose intensity PDF is 132(2) = 322/(L 1)3 for 0 5 z S L 1 and for other values of z