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Lecture 7
Lecture 7

... Chapter 3 – Discrete Random Variables • Recall – an experiment is a process where the outcome is uncertain • The experiment can take on a variety of outcomes • Each outcome can be associated with a number by specifying a rule of association….a random variable is such a rule ...
Massachusetts Institute of Technology
Massachusetts Institute of Technology

P[A B]
P[A B]

... The binomial distribution is used to obtain the probability of observing x successes in N trials, with the probability of success on a single trial denoted by p. The binomial distribution assumes that p is fixed for all ...
Lecture 25 - Introduction
Lecture 25 - Introduction

... observations, i.e., a subset of the sample space.  The probability of an event is the sum of the probabilities of its individual members.  If the members of the sample space are equally likely, then P(E) = |E|/|S|. ...
Worksheet #2 Theoretical Probability
Worksheet #2 Theoretical Probability

... 2. Imagine that you are the manager of a carnival. One of the game operators has designed a new game. In this game, players pick one card out of an ordinary deck of 52 playing cards. An ace wins $10, a face card (K, Q, or J) wins $1, and all other cards win nothing. Determine the cost to play this ...
Document
Document

... If Xi's are conditionally independent, the joint can be factored to simpler products, e.g., P(X1, X2, X3, X4, X5, X6) = P(X1) P(X2| X1) P(X3| X2) P(X4| X1) P(X5| X4) P(X6| X2, X5) p(X3| X2) p(X2| X1) ...
2.12 - Open Online Courses
2.12 - Open Online Courses

... (a) What is the probability that a student chosen at random doesn't miss any days of school due to sickness this year? (b) What is the probability that a student chosen at random misses no more than one day? (c) What is the probability that a student chosen at random misses at least one day? (d) If ...
01-Introduction to Probability
01-Introduction to Probability

Resource ID#: 31369
Resource ID#: 31369

... for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, an ...
Chapter 5: Regression - Tench's Homepage / FrontPage
Chapter 5: Regression - Tench's Homepage / FrontPage

MATH109F11 3 Additionalslides
MATH109F11 3 Additionalslides

... Example . Of the 20 television programs to be aired this evening, Marc plans to watch one, which he will pick at random by throwing a dart at TV schedule. If 8 of the programs are educational, 9 are interesting, and 5 are both educational and interesting, find the probability that the show he watche ...
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B - dustintench

MA3210 Introduction to Probability and Statistics
MA3210 Introduction to Probability and Statistics

Document
Document

Binomial Distribution
Binomial Distribution

CCSS Statistics and Probability
CCSS Statistics and Probability

19.4 Mutually Exclusive and Overlapping Events Date: ______
19.4 Mutually Exclusive and Overlapping Events Date: ______

Probability of Independent and Dependent Events and Conditional
Probability of Independent and Dependent Events and Conditional

Lecture 5
Lecture 5

QUIZ3
QUIZ3

... 5. Among the 300 employees of a company, 240 are union members. If six of the employees are chosen to serve on a committee, what is the probability that four of the six will be union members? 6.If 18 defective glass bricks include 10 that have cracks but no discoloration, five that have discoloratio ...
barnfm10e_ppt_7_1
barnfm10e_ppt_7_1

... problem asks how many times one must throw a pair of dice before one expects a double six while the problem of points asks how to divide the stakes if a game of dice is incomplete. They solved the problem of points for a two player game but did not develop powerful enough mathematical methods to sol ...
Probability Study Guide
Probability Study Guide

... 10. Last week the cafeteria sold 80 sandwiches, 150 salads, and 70 mini-pizzas. If the order for next week includes 400 lunches, how many salads are likely to be sold? A 150 ...
Sample Space Ω: The set of all possible outcomes in an experiment
Sample Space Ω: The set of all possible outcomes in an experiment

Two-Way Frequency Tables
Two-Way Frequency Tables

Exam 1 sample
Exam 1 sample

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Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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