Numerical Analysis
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 11.3, Problem 3E

Draw a Huffman tree and convert the message, including spaces and punctuation marks, to a bit stream by using Huffman coding. Compare the Shannon information with the average number of bits needed per symbol. (a) AY CARUMBA! (b) COMPRESS THIS MESSAGE (c) SHE SELLS SEASHELLS BY THE SEASHORE

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Use R code: On Day 1, Basket A contains 10 red balls and Basket B contains 10 blue balls. Each morning you pick a ball at random from Basket A and put it in Basket B. Each evening, you pick a ball at random from Basket B and put it in Basket A. Every time you transfer a blue ball you drop a penny in a piggy bank, every time you transfer a red ball you drop a nickel in the piggy bank. On Day 366 morning, how many balls of each color are in the two baskets? On Day 366 morning how much money is in the piggy bank? The answers are not numbers, but random variables. Give their probability mass functions.
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