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Ryan 2023-06-16 21:05:39 +08:00
parent e892fe2cf5
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5 changed files with 44 additions and 1 deletions

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{:highlights [{:id #uuid "648c5e0c-b0b1-4129-b172-3ff95ff4a41c",
:page 4,
:position {:bounding {:x1 14.173179626464844,
:y1 13.255218505859375,
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:y2 39.921875,
:width 604.7249999999999,
:height 453.54333333333324},
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:height 453.54333333333324}),
:page 4},
:content {:text "Binomial Distribution"},
:properties {:color "blue"}}],
:extra {:page 3}}

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file:: [section_2.4_1686920705980_0.pdf](../assets/section_2.4_1686920705980_0.pdf)
file-path:: ../assets/section_2.4_1686920705980_0.pdf
- Binomial Distribution
ls-type:: annotation
hl-page:: 4
hl-color:: blue
id:: 648c5e0c-b0b1-4129-b172-3ff95ff4a41c

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CLOCK: [2023-06-16 Fri 17:15:12]
:END:
- The Definition of a Random Variable ![section 2.1.pdf](../assets/section_2.1_1686906920851_0.pdf)
collapsed:: true
- ((648c2860-5454-45f1-80f8-1c85bce84fd1))
- ((648c290a-3532-4e56-8536-258daf7b00a7))
- Distribution Function
collapsed:: true
- ((648c2970-9091-4f46-8745-b0c10cdeb832))
collapsed:: true
- ((648c2994-36eb-44bf-8038-e49d2390a5b0))
@ -2710,6 +2712,7 @@
collapsed:: true
- ((648c2c54-b536-40ba-8191-ef1aeb2be0b9))
- ((648c2c9a-fcca-43e3-94a6-466f52131b48))
collapsed:: true
- ((648c2d05-82d4-472f-901c-b362852e2a3a))
- 换元的示例
collapsed:: true
@ -2719,7 +2722,9 @@
collapsed:: true
- ((648c48ac-76be-4848-af0d-1532467c8d68))
- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
collapsed:: true
- Expectation
collapsed:: true
- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
- Examples:
collapsed:: true
@ -2730,11 +2735,14 @@
collapsed:: true
- ((648c5381-49cd-4701-ba48-31c0e21474a7))
- Properties:
collapsed:: true
- ((648c568e-c617-4699-b217-fd4e8ea205bc))
- Linerarity:
((648c569c-e3d0-445d-acf6-caf0e271f7be))
- Variance
collapsed:: true
- Definition:
collapsed:: true
- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
- Alternative calculation:
collapsed:: true
@ -2751,15 +2759,24 @@
collapsed:: true
- ((648c5b30-e75f-4f0c-bb7d-985442728fbe))
- LATER Moments of random variable
collapsed:: true
- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
- Application of Expectation and Variation
collapsed:: true
- *Markov's inequality*: when **only mean** is known #flashcard
collapsed:: true
- ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad))
- *Chebyshev's inequality*: when **mean an variance are** known #flashcard
collapsed:: true
- ((648c5c81-d93b-4859-9ee0-37cceb8fd100))
- **Usage** of Markov's inequality and Chebyshev's inequality
collapsed:: true
- ((648c5cf5-239a-4d47-a57a-d65c53c215c4))
- **Example**:
- **Example**: ((648c5de0-d650-443a-8a67-768066dce154))
collapsed:: true
-
- ((648c5e0c-b0b1-4129-b172-3ff95ff4a41c)) and ![section 2.4.pdf](../assets/section_2.4_1686920705980_0.pdf)
-
- LATER 学积分
:LOGBOOK:
CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01