Abb ABC AaBb Bbcc AaBloon Song ant 07) [12 points) Entropy and Huffman coding: 1. [6 points] What is the entropy of the image below (show the calculation steps)? The numbers (0, 10, 60, 80, 90) denote gray level intensities? 90 0 10 10 10 10 00 10 10 90 8010 80 10 80 0 0 10 0 0 0 0 0 90 60 60 60 0 90 60 90 60 60 60 0 80 60 60 60 60 60 O 0 0 10 10 10 10 90 0 0 10 60 60 60 60 100 OOOOO 2. (6 points) Show, step-by-step, how to construct the Huffman tree to encode the above intensity values (.e.,0, 10, 60, 80, 90) in this image. Show the resulting code for each intensity value