Jacobs University BremenSchool of Engineering and SciencePeter OswaldFall Term 2010120201 ESM3A — Problem Set 7Issued: 27.10.2010Due: Wednesday 3.11.2010 (in class)This is about the basic types of discrete random variables and their properties. Compareliterature and Lecture 10 in the posted script. Each problem 10 points (even though they arenot equally difficult or easy).7.1.Suppose the failure probability of an aircraft engine in flight is 1-p(withphopefullyvery close to 1 but this is not assumed in the problem). The aircraft can still maneuverand return safely if at least half of its engines are working.a) Is it true that 4-engine planes are preferable to two-engine planes?b) Same question for 5-engine versus 3-engine planes.7.2.Parity checking is a simple method for error detection in bit words: At the transmitter,a 0 or 1 is appended to each bit word so that the sum of bits is even, at the receiver thesum is checked, if it is even then the last bit is discarded and the 7-bit word consideredcorrectly received, if the sum is odd then the bit-word is rejected, and an error is signaled.
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Prof. Dr. Peter Oswald
Probability theory, Parity bit, Richter magnitude scale, Jacobs University Bremen