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Unformatted text preview: + 1) = n ! . 3. Toss a fair 3sided die with face values of { 1 , 2 , 3 } . Let N be a rv denoting the face value of the die. If N = n, n = 1 , 2 , 3 , pick a continuous rv X with a uniform distribution between 0 and n. a. Find f X ( x ) , f N ( n ) , f N,X ( n,x ) , f N  X ( n  x ) , and f X  N ( x  n ) . b. Consider f N  X ( n  x ) . Decide what is supposed to add up or integrate to 1 for it to be a proper conditional pdf. c. Find E { X } . d. Find P (0 X 1) . e. Find E ( N  X = x ) . f. Find P ( N = 2  X = x )) . 4. Do Problem 5.11 (p. 289, 3rd edition of the textbook). 5. Do Problem 5.12 (p. 289, 3rd edition of the textbook). 6. Do Problem 5.18 (p. 290291, 3rd edition of the textbook). 7. Do Problem 5.77 (p. 296, 3rd edition of the textbook)....
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This note was uploaded on 04/12/2010 for the course EE 131A taught by Professor Lorenzelli during the Spring '08 term at UCLA.
 Spring '08
 LORENZELLI

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