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Unformatted text preview: (e) (3) P ( X (1) = 0 | X (1) = 2) Problem 4. (10) A certain manufacturing process produces tabletops with defects that occur according to a spatial Poisson process with a mean rate of 1 defect per tabletop. If 2 inspectors check separate halves of a given tabletop, what is the probability that both inspectors ﬁnd defects? Problem 5. (10) Let ( X ( t )) t > be a nonhomogeneous Poisson process with rate function λ ( s ) = ± s 2 , if 0 6 s < 1; 1 /s 2 , if s > 1 . (a) (5) Compute E [ X (1)]. (b) (5) Compute lim t →∞ E [ X ( t )] . 1...
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This note was uploaded on 10/03/2011 for the course MATH 3364 taught by Professor Staff during the Spring '08 term at University of Houston.
- Spring '08