Q1: Discrete histogram equalization: Suppose that you have a 3-bit image with a size 100x30 pixels. The intensities distribution nk are shown in the table below. Find P(Tk) and Sk. (4 points) Show your work nk P) Sk To = 0 | 100 1 250 r2 = 2700 13 3656 r4 = 4 329 r's = 5 245 7 = 6 203 ry = 7 517 Q2: Histogram matching: (6 points) A. Suppose that an image has the intensity PDF given by Pr) use the steps of histogram matching to convert the image's histogram to the given PDF: 423 Pz(2) = (L - 1) i.e., find z (new image intensities) with respect to r (original image intensities). B. Let L = 128 levels. Find z at r= 1