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Probabilities: Expected value
Expected value Investment problem: • You have 100 dollars and can invest into a stock. The returns are volatile and you may get either $120 with probability of 0.4, or $90 with probability 0.6. • What is the expected value of your investment? • M. Hauskrecht Expected value Investment problem: • You have 100 dollars and can invest into a ...
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CS 1652: Data Communication and Computer Networks …
people.cs.pitt.edufrom the application layer to the data-link layer. Concurrent with the lectures, you (in groups of two) will be building a functional TCP/IP stack and a small web server that will run on it.
Informal proofs - University of Pittsburgh
people.cs.pitt.eduInformal proofs Proving theorems in practice: • The steps of the proofs are not expressed in any formal language as e.g. propositional logic
MIPS Floating Point Instructions
people.cs.pitt.edu11/9/2011 1 MIPS Floating Point Instructions CS/COE 447 Why Floating Point? • Sometimes need very small, or very large numbers? Non-integers?
Foundations of Artificial Intelligence
people.cs.pitt.edu“The branch of computer science that is concerned with the automation of in-telligent behavior” (Luger+Stubblefield, 1993) Views of AI fall into four categories: Thinking humanly Thinking rationally Acting humanly Acting rationally Examining these, we will plump for acting rationally (sort of) AIMA Chapter 1 (after Russell and Norvig) 3
Propositional logic: Horn clauses
people.cs.pitt.edu• Horn form (Horn normal form) • Two inference rules that are sound and complete with respect to propositional symbols for KBs in the Horn normal form: – Resolution (positive unit resolution) – Modus ponens (A∨¬B) ∧(¬A∨¬C ∨D) Can be written also as: (B ⇒ A) ∧(( A ∧C) ⇒ D) CS 2740 Knowledge Representation M. Hauskrecht ...
Sequences and summations
people.cs.pitt.eduSequences and summations CS 441 Discrete mathematics for CS M ... Arithmetic progression Definition: An arithmetic progression is a sequence of the ... -1, 3, 7, 11, … 3 CS 441 Discrete mathematics for CS M. Hauskrecht Geometric progression Definition A geometric progression is a sequence of the form: a, ar, ar2, ..., ark, where a is the ...
Time Series: Autoregressive models AR, MA, ARMA, ARIMA
people.cs.pitt.eduGaussian White Noise {A particular useful white noise is Gaussian white noise, wherein the w ... -20 0 20 40 60 80 12/77. Time Series Analysis The procedure of using known data values to t a time series ... Measures of Dependence A complete description of a time series, observed as a
Introduction to Kernel Methods
people.cs.pitt.edu1 Introduction to Kernel Methods Dave Krebs CS 3750 Fall 2007 ... Paradigm for Pattern Analysis. Kernel Methods in Bioengineering, Signal and Image Processing. 2007. ... 9 Mercer’s Condition (continued) if and only if, for any g(x) such that is finite, then It can be ...
Sets and set operations - University of Pittsburgh
people.cs.pitt.edu• Ordered-n tuples are used to represent an ordered collection. Definition: An ordered n-tuple (x1, x2, ..., xN) is the ordered collection that has x1 as its first element, x2 as its second element, ..., and xN as its N-th element, N 2. Example: • Coordinates of a point in the 2-D plane (12, 16) x y
Mathematical induction & Recursion
people.cs.pitt.eduMathematical induction • Used to prove statements of the form x P(x) where x Z+ Mathematical induction proofs consists of two steps: 1) Basis: The proposition P(1) is true. 2) Inductive Step: The implication P(n) P(n+1), is true for all positive n. • Therefore we conclude x P(x).
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3.3 Expected Values - Purdue University
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Practice with Expected Value and Fair Games Answers
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Calculating Expected Value - Michigan State University
math.msu.eduExpected Value - Example • The game costs $2 to play. You are dealt a poker hand. If it contains an Ace you get your $2 back, plus another $1. What is the (expected) value of the game to you? p(no Ace) = 0.659; p(at least one A) = 0.341 Outcomes Probability Payoff to you At least one ace 0.341 $1 + ($2 - $2) No aces 0.659 -$2
United Nations Fact Sheet on Climate Change - Africa is ...
unfccc.intexpected impacts of global warming. A number of adaptation projects have been started in Africa to address a range of cli-mate change impacts. These include projects on incorporating climate change in water resources management in Tanzanian, improving food security in …
Expected Value, Mean, and Variance Using Excel
documents.saintleo.eduExpected Value, Mean, and Variance Using Excel This tutorial will calculate the mean and variance using an expected value. In this example, Harrington Health Food stocks 5 loaves of Neutro-Bread. The probability distribution has been entered into the …
Expected Value and Standard Dev. - homepages.math.uic.edu
homepages.math.uic.eduExpected Value and Standard Dev. Expected Value of a random variable is the mean of its probability distribution If P(X=x1)=p1, P(X=x2)=p2, …n …
Expected Value, Variance and Covariance
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www.commerce.wa.govEXPECTED USEFUL LIFE TABLE SITE SYSTEMS FAMILY ELDERLY ACTION = REPLACE 50+ = "long-lived" systems CONSTR. CONSTR. UNLESS NOTED Basketball Courts 15 25 Built Improvements (playgrounds/site furniture) 20 20 Catch Basin 40 40 Cold Water and Sewer Lines 40 40 Compactors 15 15 DHW/Supply/Return 30 30 Dumpsters 10 10 Dumpster Enclosures 10 …
Expected Value and the Game of Craps
www.dehn.wustl.eduExpected Value and the Game of Craps Blake Thornton Craps is a gambling game found in most casinos based on rolling two six sided dice. Most players who walk into a casino and try to play craps for the rst time are overwhelmed by all the possible bets. The goal here is to understand what these bets are and how the casino makes money.