HW2 - Review 2 ISE 3424 Discrete-Event Simulation...

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Unformatted text preview: Review 2 ISE 3424 Discrete-Event Simulation Pasupathy, Spring 2010 1. A filling station is supplied with gasoline once a week. If its weekly volume in sales in thousands of gallons is a random variable with probability density function f ( x ) = 5(1- x ) 4 < x < 1 = 0 otherwise . What capacity should the tank have so that the probability of the supply being ex- hausted is 0 . 1? 2. The lifetime in hours of an electronic tube is a random variable having a probability density function given by f ( x ) = x exp(- x ) x . Compute the expected lifetime of such a light bulb. 3. A fire station is to be located along a road of length a , a < . If fires occur at points uniformly distributed on (0 , a ), where should the station be located so as to minimize the expected distance from the fire? In other words, choose l so as to minimize E[ | X- l | ] when X uniformly distributed over (0 , a )? What if the road is of infinite length stretching from 0 to and the fires happen on the road according to an exponential...
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HW2 - Review 2 ISE 3424 Discrete-Event Simulation...

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