Homework 1, ECE302, Spring 2013, Prof. Boutin

Due Monday January 14, 2014 (in class)

Solve the following problems in the textbook. Hand in a hard copy of your solutions in class. Make sure to include a title page and to staple all the pages together. Write legibly and clearly. Put the problems in order. Do not write on the back of the pages. Do not use paper torn out of a spiral book. Thank you very much.

All problems are from: Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, Pearson Education, Inc., 2008, ISBN 0-13-601641-3

1.6a) b),

1.7,

2.1,

2.2,

2.4,

2.12,

2.22,

2.23,

2.24,

2.28

Questions/comments/Discussion=

• for the proof in 1.7, can we use the probability axioms we learnt in class, even though those axioms were for probabilities(i.e. P[{A}]) and this problem is asking about relative frequencies (i.e. fA(n))? -awillats
  • Frequencies and probabilities can be treated with the same laws since a probability is defined as the relative frequency of an outcome/event as the number of experiments approaches infiniti (eqn 1.6, pg 9). Also, if you examine the 'three basic properties of relative frequency' (eqns 1.3/1.4/1.5, pg 7), you'll notice that they are essentially identical to the three 'Axioms of Probability'.
    • Correct. Make sure that this explanation is part of your answer. -pm

• Write a question here.
  • answer here.

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