Unformatted text preview: probability 0 . 5 + i/ 50, i = 1 ,..., 20. Let X denote the number of functional components. Use simulation to estimate the conditional probability mass function P ( X = i | X ≤ 5), i = 1 , 2 , 3 , 4 , 5. 3. A random selection of m balls is to be made from an urn that contains n balls, n i of which have color type i = 1 ,...,r , ∑ r i =1 n i = n . Let X i denote the number of withdrawn ball that have color type i . Give an eﬃcient procedure for simulating X 1 ,...,X r conditional on the event that all r color types are represented in the random selection. Assume that the probability that all color types are represented in the selection is a small positive number....
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- Spring '08
- Probability, Probability theory, Imperative programming, 1-month, Prof. Mariana Olvera-Cravioto