EE302%20hw1_fa06 - EE302 Homework #1 Assigned 8/29/06, Due...

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{} { } {}{ } ±∪ EE302 Homework #1 S S ,,,,, , A ,, ,B ,, ,C ,,, . /. A B C AB AC AC B A,B,C A,B C C, = 1357911 = 135 = 7911 = 13911 16 Pr( ) Pr( ) ) Pr[( ) ] Assigned 8/29/06, Due 9/7/06 (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. Two fair coins are ²ipped, and the ²ips are independent. . (a) List all of the outcomes. How many outcomes are there? (b) List all of the events. How many events are there? (c) Find the probability one of the ²ips is a head, and the probability that one of the ²ips is a tail. (d) Find the probability that one of the ²ips is a head and one of the ²ips is a tail. (e) Find the probability that one of the ²ips is a head given one of the ²ips is a tail (f) Are the events {one of the ²ips is a head} and {one of the ²ips is a tail} mutually exclusive? 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. Di³erent switches work independently. Suppose a switch is
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This note was uploaded on 09/03/2009 for the course ECE 302 taught by Professor Gelfand during the Fall '08 term at Purdue University-West Lafayette.

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EE302%20hw1_fa06 - EE302 Homework #1 Assigned 8/29/06, Due...

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