HW7sol - EE/NIS 605-CS505 Probability and Stochastic...

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EE/NIS 605-CS505 Probability and Stochastic Processes I Homework 7 Solutions Textbook: S. Ross, A First Course in Probability, Seventh Edition , Prentice Hall, 2006 Chapter 5 : Theoretical Exercises: 14,26; Problems: 23,31,34 P 34 : a ) From memoryless property of the exponential P [ X > 30| X > 10] = P [ X > 20] = e – 20 / 20 = e – 1 Professor Heffes TE 14: P[c X x] = P[ X x /c] = 1 – e λ x / c , x > 0 TE 26: Y = X – a b – a d da A– (a – a 2 A ) = 2a A – 1 = 0 a = A 2 b) E[ X – a ] = (x – a)
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This note was uploaded on 04/29/2008 for the course ECE ee605 taught by Professor Sss during the Spring '08 term at Stevens.

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