# Hw2 - n 1 events(c P EF ≥ P E P F-1(d If E and F are two events the probability that exactly one of them occurs is P E P F-2 P EF 2 Ang& Tang

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MAE 108 – Probability and Statistical Methods for Engineers – Winter 2010 Homework # 2 Assigned: January 13 2010 Due: January 20 2010, in class. Each problem is worth 10 points. 1. Show the following properties (a) If E F then P ( E ) P ( F ) (b) If you have n events E i , then P ( i E i ) i P ( E i ) [Note: i E i = E 1 E 2 ... E n ] [Hint: you can show this by recurrence, i.e assume it’s true for n events, and then show it is true for
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Unformatted text preview: n + 1 events.] (c) P ( EF ) ≥ P ( E ) + P ( F )-1 (d) If E and F are two events, the probability that exactly one of them occurs is P ( E ) + P ( F )-2 P ( EF ) 2. Ang & Tang, Problem 2.20 3. Ang & Tang, Problem 2.27 [Hint for (a): there are four possible events] 4. Ang & Tang, Problem 2.35 5. Ang & Tang, Problem 2.36 6. Ang & Tang, Problem 2.61...
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## This note was uploaded on 05/12/2010 for the course MAE 108 taught by Professor Lauga during the Winter '10 term at San Diego.

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