ee302hw1_Fa09

# ee302hw1_Fa09 - EE302 Homework#1 Assigned Due(by 4:30 in...

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{} { } {}{ } ±∪ EE302 Homework #1 S S ,,,,, , A ,, ,B ,, ,C ,,, . /. A B C AB AC AC B S A,B,C A,B C C, = 1357911 = 135 = 7911 = 13911 16 Pr( ) Pr( ) ) Pr[( ) ] ? Assigned 8/24/09, Due 9/4/09 (by 4:30 in dropbox in MSEE 330) 1. A space is de±ned as and three subsets as Assumethateachelementhas probability Findthefollowing probabilities: (a) (b) (c) (d) (e) (f) 2. A pair of dice are rolled. (a) What is the probability space (b) Determine the probability of each of the following events: i. The sum of the rolls is even. ii. The ±rst roll is equal to the second. iii. The ±rst roll is larger than the second. (c) Are the events {the sum of the rolls is even} and {the ±rst roll is equal to the second} mutually exclusive? collectively exhaustive? Are they independent? You must justify your answers. . 3. Three intermittent switches are in a box. Switches and work 75%, 50% and 25% of the time, respectively. Di²erent switches work independently. Suppose a switch is selected at random with equal probability from the box. (a) Find the probability that the selected switch works

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## This note was uploaded on 09/14/2010 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue.

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ee302hw1_Fa09 - EE302 Homework#1 Assigned Due(by 4:30 in...

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