Suppose that we have a color image C₁ where every pixel has a color given by (R,G,B) = (50K, 50K, 200K) where K is a random variable that has a uniform distribution between 0 and 1. Thus each pixel in C₁ has a blue hue and an intensity that varies with K. Assume that the intensity levels in the images vary continuously (i.e. are not constrained to be integers).
Plot the gray level histogram for the blue band of the image