EE465-USC-Fall08-Assignment2

# EE465-USC-Fall08-Assignment2 - 9 What is the probability...

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EE 465 : Homework 2 Due : 09/16/2008, Tuesday in class. 1. Solve 2.29 (2.29) from textbook 2. Solve 2.43 (2.43) from textbook 3. Solve 2.78 (2.78) from textbook 4. The number of orders waiting to be processed is given by a Poisson random variable with parameter α = λ , where λ is the average number of orders that arrive in a day, μ is the number of orders that can be processed by an employee per day, and n is the number of employees. Let λ = 3 and μ = 1. Find the number of employees required so the probability that more than 4 orders are waiting is less than 0
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Unformatted text preview: . 9. What is the probability that there are no orders waiting? 5. Let X 1 and X 2 be two random variables. Find G = E [ max ( X 1 ,X 2 )] + E [ min ( X 1 ,X 2 )] . (1) 6. Two continuous random variables X and Y are described by the pdf f XY ( x,y ) = k, if ≤| x |≤| y | , ≤| y |≤ 1 , otherwise (2) where k is a constant. a) Find k . b) Are X and Y independent? c) Are X and Y uncorrelated? (Reminder: Two random variables X and Y are uncorrelated if E ( XY ) = E ( X ) E ( Y ))...
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