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Unformatted text preview: x x x f 1 ) 1 ( 5 ) ( 4 what need the capacity of the tank be so that the probability of the supply's being exhausted in a given week is .01? 3. Suppose that the cumulative distribution function of a random variable X is given by 1 ) ( 2 > − = − t e t F t X . Evaluate; a) P( X > 2); b) P ( 1 < X < 3); c) E( X ); d) Var ( X ). 4. Suppose that a system contains a certain type of component whose time in years to failure is given by T. The random variable T is modeled by the exponential distribution with mean time to failure 5 years. If 5 of those components are installed in different systems what is the probability that at least 2 are still functioning at the end of 8 years? 5. The CPU time requirement of a typical program measured in minutes is found to follow a Gamma Distribution with parameters α =3 and β =2.What is the probability that CPU demand of a program will exceed 1 minute?...
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This note was uploaded on 12/22/2011 for the course CS 101 taught by Professor Dat during the Spring '11 term at Bilkent University.
- Spring '11