DICE AND PROBABILITY LAB Learning outcome: Upon completion, students will be able to… * Compute experimental and theoretical probabilities using basic laws of probability. Scoring/Grading Rubric: * Part 1: 5 points * Part 2: 5 points * Part 3: 22 points (2 per sum of 2-12) * Part 4: 5 points * Part 5: 5 points * Part 6: 38 points (4 per sum of 4-12, 2 per sum of 3) * Part 7: 10 points * Part 8: 10 points Introduction: While it is fairly simple to understand
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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems ∏ Cătălin Bărboianu INFAROM Publishing Applied Mathematics office@infarom.com http://www.infarom.com http://probability.infarom.ro ISBN 978-973-1991-11-5 Publisher: INFAROM Author: Cătălin Bărboianu Correction Editor: CarolAnn Johnson Copyright © INFAROM 2009 This work is subject to copyright. All rights are reserved, whether the whole work or part of the material is concerned, specifically the rights of translation
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E. SPIN (Sensor Protocols for Information via Negotiation) A. Martorosyan and , Jamal N. Al-Karak et.al SPIN [9, 10] belongs to a family of protocols called adaptive routing. These protocols uses resource-adaptive and data negotiation algorithms. SPIN belongs to the family of data centric routing protocol. It assumes 1) All nodes with in the network are base stations. 2) Close proximity nodes have similar data. The idea behind the SPIN protocol is that to name the data using high- level
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reliability • Equality information: Ω 0 • Conditional probability of failure: Pr | Pr ∩ Pr 0 0 ? 10 5 01.06.2012 In statistics, information is expressed as likelihood function • Likelihood function for information event Z: ∝ Pr | • Example: – Measurement of system characteristic s(X) – Additive measurement error • Equality information: • Likelihood function: , , 11 By expressing equality information as a likelihood function, it can be represented by
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Quantitative Methods in Management Q M M Session One Asato ma sat gamaya, tamaso ma jyotir gamaya, mrityo ma amritam gamaya ‘Lead me from the superficial to the worthy, from darkness to light and from stagnation to zestful living’ Brahadaranyaka Upanishad (1,3,28) [pic]M C Escher http://www.theorsociety.com/Science_of_Better/htdocs/prospect/index.asp What is Operational Research? The discipline
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Quant Investments “It had not been a particularly good year for Quant Investments”, mused Alain over his pate de foie gras and champagne. It was lunchtime on Christmas Eve, and his three colleagues Belén, Carlos and Dawood had already set off on holiday to far-off, exotic locations. The four of them had worked as a close team of analysts for the past 15 months since graduating as MBAs, and Alain realised that their performances had not come up to expectations. Alain feared that all four may
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which a specified event occurs to the number of trial in an actual experiment. It estimates probabilities from experience and observation. An example of relative frequency-based probability or empirical probability can be seen in badminton fans predicting that there is 80-90% chance for Lin Dan from China to beat Dato’ Lee Chong Wei of Malaysia based on their past encounters. The formula that associated with this approach is: probability = (frequency of the event occurrence divide
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Managerial Staistics Saturday 10:00 -12:00 Optimization Unlimited A. Probabilities of a truckload Formula: P(E) = f/n 1 Dry Method Total Truckloads 184 Bluberries in traditional dry method 125 Probability 125/184 0.679347826 2 Wet Method Total Truckloads 184 Bluberries in traditional dry method 59 Probability 59/184 0.320652174 3 Classified as No
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Probability is a measure of how likely an event will occur. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The certainty we adopt can be described in terms of a numerical measure and this number, between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty), we call probability. Independent and dependent events are two events, let’s say (A) and (B), where the fact that
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Probability: is defined on random events (occurrences), takes values between 0 and 1, and can be interpreted as limit of relative frequency (objective probability) Note: In everyday usage, probability might mean the extent of our belief in the occurrence of the event (subjective probability). However, statistics mostly deals with objective interpretation based on relative frequency. j p q y Basic probability rules: P( Sure event) = 1 and P( Impossible event) = 0 P(A or B) = P(A) + P(B) – P(A and
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