For a source emitting the characters of the word "Las Vegas" : 1] Find the probability of each symbol Hint: Consider the space as a symbol 2] Find the corresponding Huffman code for each symbol 3] Find the corresponding code for the word Las Vegas": 4] Compute: a. The Average code length b. The Entropy c. The Efficiency of the code d. The code variance e. The self information 5] Construct the decision tree. 6] Decode the sequence 10111000010011100000000100001