A CI instructor assigns grades with the following probabilities Grade Probability 0.2 0.25 0.25 0.2 0.1 (a) (10 points) Devise a Huffiman code for the 5 symbols and fill in the following table Grade Codeword (b) (6 points) What is the Average Weighted Code Length (AWCL) of your code? (c) (4 points) The CI administration abolishes the F grade and gives a D to everyone who would otherwise have received an F. A new set of Huffman codes are devised. Will the AWCL of the new codes be greater than your answer to (b) or less than or the same