Jacobs University Bremen
School of Engineering and Science
Peter Oswald
Fall Term 2010
120201 ESM3A — Problem Set 7
Issued: 27.10.2010
Due: Wednesday 3.11.2010 (in class)
This is about the basic types of discrete random variables and their properties. Compare
literature and Lecture 10 in the posted script. Each problem 10 points (even though they are
not equally difficult or easy).
7.1.
Suppose the failure probability of an aircraft engine in flight is 1

p
(with
p
hopefully
very close to 1 but this is not assumed in the problem). The aircraft can still maneuver
and return safely if at least half of its engines are working.
a) Is it true that 4engine planes are preferable to twoengine planes?
b) Same question for 5engine versus 3engine 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 the
sum is checked, if it is even then the last bit is discarded and the 7bit word considered
correctly received, if the sum is odd then the bitword is rejected, and an error is signaled.
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 Spring '11
 Prof. Dr. Peter Oswald
 Probability theory, Parity bit, Richter magnitude scale, Jacobs University Bremen

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