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**Unformatted text preview: **J. M. Mendel Spring 2010 EE 364 Midterm # 2 Closed Book Two 81/2X11 sheet of notes (both sides) permitted Calculator required Tables A.1, A.2 and A.3 required To receive full credit you must carry out all of the numerics 1. (20 points) For parts a and b, it is true that: X n ( x ; , ) and y = 4 x + 2 . a. (4 points) E ( Y ) = ? b. (4 points) Y 2 = ? c. (12 points) Consider a ferry that can carry both buses and cars on a trip across a waterway. Each trip costs the owner $10. The fee for cars is $3 and the fee for buses is $8. Let X and Y denote the number of buses and cars, respectively, carried on a given trip. The joint distribution of X and Y is given by: x y 0 1 2 0 0.01 0.01 0.03 1 0.03 0.08 0.07 2 0.03 0.06 0.06 3 0.07 0.07 0.13 4 0.12 0.04 0.03 5 0.08 0.06 0.02 Compute the expected profit for the ferry trip. 2. (20 points) Hospital administrators in large cities anguish about problems with traffic in emergency rooms in hospitals. For a particular hospital in a large city, the staff on hand cannot emergency rooms in hospitals....

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