w6_Poi_post

w6_Poi_post - page having no errors on it? 2. A computer...

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Business Statistics Poisson Distribution Properties The probability of occurrence is the same for any intervals of equal length The occurrence in any interval is independent of an occurrence in any non- overlapping interval X - the number of occurrences in a fixed interval X is a Poisson random variable and we denote it as X ~ Poi( μ ) or X ~ Poisson( μ ) Where e = 2.718282 Mean = Variance = μ
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Business Statistics Binomial vs. Poisson Binomial Distribution Poisson Distribution Fixed Number of Trials (n) Infinite Number of Trials Only 2 Possible Outcomes Unlimited Number of Outcomes Possible Probability of Success is Constant (p) Mean of the Distribution is same for all Intervals ( μ ) Each Trial is Independent # of Occurrences in any Interval Independent of Others
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Business Statistics Binomial vs. Poisson 1. A typist makes on average 2 mistakes per page. What is the probability of a particular
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Unformatted text preview: page having no errors on it? 2. A computer crashes once every 2 days on average. What is the probability of there being 2 crashes in one week? 3. Components are packed in boxes of 20. The probability of a component being defective is 0.1. What is the probability of a box containing 2 defective components? Business Statistics Binomial vs. Poisson 4. ICs are packaged in boxes of 10. The probability of an ic being faulty is 2%. What is the probability of a box containing 2 faulty ics? 5. The mean number of faults in a new house is 8. What is the probability of buying a new house with exactly 1 fault? 6. A box contains a large number of washers; there are twice as many steel washers as brass ones. Four washers are selected at random from the box. What is the probability that 0, 1, 2, 3, 4 are brass?...
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This note was uploaded on 01/01/2010 for the course ISOM ISOM111 taught by Professor Anthonychan during the Spring '09 term at HKUST.

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w6_Poi_post - page having no errors on it? 2. A computer...

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