159  l14 : Simple random variables

Measure Theoretic Probability - Jem Corcoran

Published

April 17, 2026

Keywords

measure theory, probability, sigma algebra, outer measure, lemmas

Video 159.1: Lesson 14: Simple random variables

159.1 Lesson map

This lesson proves the next three lemmas from the extension roadmap.

  • Recap:
  • Simple random variables

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Figure 159.1: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

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Figure 159.2: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
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Figure 159.3

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Figure 159.4: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
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Figure 159.5

me with alternative without math.

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Figure 159.6: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

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Figure 159.7: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
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Figure 159.8

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Figure 159.9: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
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Figure 159.10
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Figure 159.11

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Figure 159.12: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.

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Figure 159.13: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.
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Figure 159.14

me with alternative without math.

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Figure 159.15: And me with a longer caption that is more descriptive of the image, and can replace the image if it doesn’t load.