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# pcshw6 - THE STATE UNIVERSITY OF NEW JERSEY RUTGERS College...

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THE STATE UNIVERSITY OF NEW JERSEY RUTGERS College of Engineering Department of Electrical and Computer Engineering 332:322 Principles of Communications Systems Spring 2004 Problem Set 6 Reading: Review Probability (appendix and 322:321 notes/text) Web notes on convexity 1. Counting and Sample Space: Consider a binary code with 5 bits (0 or 1) in each code word. An example of a code word is 01010. In each code word, a bit is zero with probability 0.8, independent of any other bit. (a) What is the probability of the code word 00111? (b) What is the probability that a code word contains exactly three ones? 2. Simple Probability, Simple Application: A source wishes to transmit radio packets to a re- ceiver over a radio link. The receiver uses error detection to identify packets that have been corrupted by radio noise. When a packet is sent error free the receiver sends an acknowledge- ment(ACK) back to the source. When the receiver gets a packet with errors, it sends back a negative-acknowledgement(NACK). Each time the source receives a NACK, the packet

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