cient encoding method for the source in question 1. 3. The following tweets were posted by Steve Martin on 16 December 2010. What is the information content of each tweet [11]? Steve Martin Dec 16, 2010 New Years Eve falls on December 31st this year. Steve Martin Dec 16, 2010 So New Years Day will be on January 1st, pushing Valentine Day to February 14th. Steve Martin Dec 16, 2010 The 4th of July will fall on the 3rd of March. 4. 'A picture is worth a thousand words' goes the saying: (a) How much information is contained in a picture if the picture size is 250x400 pixels, and each pixel may take one of 256 colours with equal probability? 2 Towpilot (own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (https://commons.wikimedia. org/wiki/File%3ASteve_Martin.jpg)]. Broadband Telecommunications Technologies and Management (b) Assume there are 60 000 words in a dictionary, and the 1000 words may be selected randomly from this dictionary. How much information do these 1000 words convey? (c) What is the flaw in the above comparison? 5. Assume the size of the photograph shown is 400x300 pixels. Each pixel may be one of 176 different shades of red, each with an equal probability of 1/256; or one of 10 shades of blue, each with a probability of 1/32. If the colours are spatially randomly distributed: (a) What is the entropy of this picture? (b) What is the total information represented by this picture? 6. A digital watch display is designed as follows: Friday 6 February 12:34 (a) What is the total information this watch provides? (b) How can this display be designed better if information theory is taken into consideration? 7. Which one of the following two statements has more information and why? (a) 'The last visit by Halley's Comet was in 1986'. (b) 'There was a full moon on 2 November 2009'. Which one of the following two statements has more information and why? (a) 'The Hurt Locker' won the best movie of 2009 at the Oscars. (b) 'Fearless' won the best album of 2009 at the Grammys. 9. How are 'freque