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ee302hw1_Fa11

# ee302hw1_Fa11 - EE302 Homework#1 Assigned Due(by 4:30 in...

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1 =1 n n i ii EE302 Homework #1 {} { } {}{ } ±∪ ∪² ´ | S S ,,,,, , A ,, ,B ,, ,C ,,, . /. A B C AB AC AC B S A,B,C A,B C C, ABAB A B A B A A ...,A B BA A = 1357911 = 135 = 7911 = 13911 16 Pr( ) Pr( ) ) Pr[( ) ] ? = ) Pr( )+Pr( ) ) Pr( ) Pr( )= )Pr( ) Assigned 8/29/11, Due 9/7/11 (by 4:30 in dropbox in MSEE 330) 1. A space is de±ned as and three subsets as Assumethateachelementhasprobability 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. 3. Three intermittent switches are in a box. Switches and work 75%, 50% and
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