ee302hw2_Sp10

ee302hw2_Sp10 - ECE302 Homework #2 Assigned 1/24/10, Due...

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± i ±² Hint: 12 3 3 1 1 2 X Xi x i nn n n n ECE302 Homework #2 ± ±± ² ² ²² ± |∩ ∩ ∩³³³∩ | ³³³³³ | ∩³³³∩ + 1 ( )= exp( ) 1 5 13 15 5 ()= 1 2 = 1012345 5 Pr( ) =Pr( ) Pr( ) Pr( ) )=Pr( )Pr( ) ) kk n ± ± n X X X fx k x , x . k X< <X . X<. X. X p x k , x ,,,,,,. k. A,B C AB C A S,²,A S ² A AB A , B AA A A A A A A A Assigned 1/24/10, Due 2/5/10 (by 4:30 in dropbox in MSEE 330) 1. Text, problem 2.102, p. 91. given that errors have occured in operations, each error can be further broken down according to a Bernouilli trial, with probability that it is type 1, and probability that it is type 2. Anabsent-mindedprofessor has keysinhispocketof whichonlyone (hedoesnot remember which one) ±ts his office door. He picks a key at random and tries it on his door. If that does not work, he picks a key again to try, and so on until the door unlocks. Let denote the number of keys that he tries. Find the pmf of in the following two cases: (a) A key that does not work is put back in his pocket so that when he picks another key, all n keys are equally likely to be picked (sampling with replacement).
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ee302hw2_Sp10 - ECE302 Homework #2 Assigned 1/24/10, Due...

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