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Problems with Solutions for Engineering Probability | ENEE 324, Assignments of Probability and Statistics

University of MarylandProbability and Statistics
Prof. Joseph F. Jaja

Material Type: Assignment; Professor: JaJa; Class: ENG PROBABILITY; Subject: Electrical & Computer Engineering; University: University of Maryland; Term: Spring 2009;

Typology: Assignments

Pre 2010

Uploaded on 07/30/2009

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koofers-user-pjm 🇺🇸

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Problem 4.3.3 Solution We recognize that the given joint PMF is written as the product of two marginal PMPs Pyir) and Pye (fs) where 100 Wire y Py (n) = 0 Pye (nk) = { i” ceherrise "0 k=O oo 10) 100-k op 1- k=0,1,...,100 Pe (BR) = SO Pc (rete) = { ‘ ee otherwise 3) n=O Problem 4.4.2 Solution Given the joint PDF _ fem? 0 ¥] is the integral of the joint PDF fyy(2.y) over the indicated shaded region. ¥ ty Lope pixeyi= f [ Gry? dy dr (3) oo 1 =f ef da (4) ‘o =2/s (5) Similarly, to find P[Y 5 i P[min(X,¥) < 1/2) =1— P[min(X,¥) > 1/2) (3) A 1 =1-/ Gey dr dy (9) iyo Saya 1 gy? u =1 -[ Yaya 10 ¥ ia 4 32 (10)