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morea/05-discrete-random-variables/module-05-discrete-random-variables.md

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morea_type: module
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morea_icon_url: /morea/05-discrete-random-variables/SiméonDenisPoisson.jpg
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morea_start_date: "2025-02-19"
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morea_end_date: "2025-02-28"
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morea_end_date: "2025-03-07"
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morea_labels:
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morea_sort_order: 5
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---
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title: "Multiple Random Variables"
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published: true
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morea_coming_soon: false
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morea_id: module-06-multiple-random-variables
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morea_prerequisites:
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morea_outcomes:
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- outcome-06-multiple-random-variables
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morea_readings:
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- reading-06-multiple-random-variables
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- reading-06-conditioning
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- reading-06-independence
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morea_experiences:
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# - experience-06-time-diversity
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morea_assessments:
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# - assessment-CHANGE-ME
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morea_type: module
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morea_icon_url: /morea/06-multiple-random-variables/independent-voter.jpg
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morea_start_date: "2025-03-10"
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morea_end_date: "2025-04-04"
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morea_labels:
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morea_sort_order: 6
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---
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Multiple random variables.
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---
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title: "Multiple Random Variables"
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published: true
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morea_id: outcome-06-multiple-random-variables
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morea_type: outcome
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morea_sort_order: 60
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---
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* You understand joint, marginal, and conditional PMFs.
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* You know how to compute marginal PMFs from conditional PMFs (similar to total probability theorem).
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* You understand the concept of conditional expectation.
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* You know how to compute expectation from conditional expectation using total expectation theorem.
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* You understand the concept of independent random variables.
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* You know the properties of expectations and variances of independent random variables.
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---
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title: "Conditioning"
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published: true
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morea_id: reading-06-conditioning
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morea_summary: "Conditional PMF, conditional expectation"
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morea_url: /morea/06-multiple-random-variables/06-2-conditioning.pdf
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morea_type: reading
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morea_labels: PDF
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morea_sort_order: 61
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