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HW4 - ² 1(2 P(output = 0 | input = 1 = ² 2(3 P(output = 1...

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ECE 302, Homework #4, due date: 2/9/2011 http://cobweb.ecn.purdue.edu/ chihw/11ECE302S/11ECE302S.html Review of Calculus: Question 1: Deﬁne a 1-D function f ( x ) as follows. f ( x ) = 1 . 5 e - 3 | x | Show that R -∞ f ( x ) dx = 1. Let F ( x ) = R x -∞ f ( s ) ds . Compute the following values in terms of x or k . 1. F ( x ) if x < 0. 2. F ( x ) if x [0 , ). 3. lim x →∞ F ( x ). 4. For any integer value k 0, let p k = R - k - ( k +1) f ( x ) dx + R k +1 k f ( x ) dx . Find the value of p k . Question 2: [Basic] Problem 2.77. Note that Figure P2.3 means that P (output = 0 | input = 0) = 1 - ² 1 (1) P (output = 1 | input = 0) =

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Unformatted text preview: ² 1 (2) P (output = 0 | input = 1) = ² 2 (3) P (output = 1 | input = 1) = 1-² 2 . (4) Question 3: [Basic] Problem 2.79(a,b,c). Question 4: [Basic] Problem 2.82. Question 5: [Basic] Problem 2.83. Question 6: [Intermediate] Problem 2.85. Question 7: [Intermediate] Problem 2.87. Question 8: [Basic] Problem 3.13. Question 9: [Basic] Problem 3.17. Question 10: [Basic] Problem 3.20. Question 11: [Basic] Problem 3.28....
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HW4 - ² 1(2 P(output = 0 | input = 1 = ² 2(3 P(output = 1...

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