Revision as of 16:16, 13 January 2013

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
  • On the bottom of page 7 in our book it reads: "Equations (1.3), (1.4), and (1.5) are the three basic properties of relative frequency..." If you examine those three equations, you'll notice that they are essentially identical to the 'Axioms of Probability' that we discussed in class. Therefore, I believe frequencies and probabilities are one in the same (which would intuitively make sense). -ag

• Write a question here.
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