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01-Bases of the theory of probability and mathematical statistics
01-Bases of the theory of probability and mathematical statistics

Discrete Random Variables - Electrical and Computer Engineering
Discrete Random Variables - Electrical and Computer Engineering

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... Find the cumulative distribution function F(x) Find P( 1 ≤ x ≤ 2.5 ) Find the median and mode of the distribution. ...
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... A industrial psychologist administered a personality inventory test for passive­aggressive  traits to 150 employees.  Each individual was given a score from 1 to 5, where 1 is  extremely passive and 5 is extremely aggressive.  A score of 3 indicated neither trait.  The  results are shown in the give ...
The sample space S is the collection of all outcome of a random
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... Example 4 Picking a real number at random between -1 and 1 The associated sample space is S  {s | s  , 1  s  1}  [1, 1]. Clearly S is a continuous sample space. Example 5 Output voltage of a radio receiver at any time Suppose he output voltage of a radio receiver at any time t is a value lyin ...
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Probability - Notre Dame Academy

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Statistics: Uniform Distribution (Continuous)

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... 2. Sample Space: The sample space S is the collection of all outcomes of a random experiment. The elements of S are called sample points.  A sample space may be finite, countably infinite or uncountable.  A finite or countably infinite sample space is called a discrete sample space.  An uncountab ...
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... experiment. Also, it is called the universal set, and is denoted by Ω. An Event: Any subset of the sample space Ω is called an event. •φ⊆Ω is an event (impossible event) • Ω⊆Ω is an event (sure event) Example: Experiment: Selecting a ball from a box containing 6 balls numbered 1,2,3,4,5 and 6. •This ...
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Special probability distributions

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... compute the a-priori probabilities used in the theorem. • On the other hand CFs and MBs, MDs offer an intuitive, yet informal, way of dealing with reasoning under uncertainty. • The MYCIN model tries to combine these two areas (probabilistic, CFs) by providing a semi-formal bridge (theory) between t ...
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... Navigate to http://en.wikipedia.org/wiki/Odds to read a little more about the topic of Odds that we discussed today in class. 1. ______ (initial that you read the article) ...
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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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