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ho1-probability.pdf
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🔗 Source: cs.princeton.edu
📊 Size: 147 KB
📄 Pages: 7 pages
⬇️ Downloads: 582

Summary

The handout covers probability concepts, including sample spaces, events, random variables, and expectation. It assumes familiarity with basic set operations and functions. Key points include:

A sample space is the set of all possible results of a probabilistic experiment, with each element associated with a probability between 0 and 1.
 An event is a subset of the sample space, and its probability is the sum of the probabilities of its elements.
The union bound states that the probability of the union of two events is at most the sum of their individual probabilities.
 A random variable is a function that maps elements of the sample space to another set, often real numbers.
Expectation is the weighted average of a random variable, defined as the sum of the product of each value and its probability.
 Expectation is a linear function, meaning that the expectation of the sum of two random variables is the sum of their individual expectations.

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Description

The handout covers probability concepts, including sample spaces, events, random variables, and expectation.

Technical Information

  • File Format: PDF
  • File Size: 147 KB
  • Pages: 7
  • Language: EN
  • Total Downloads: 582
  • Last Updated: 3 hours ago

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