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assets/section_2.4_1686920705980_0.edn
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assets/section_2.4_1686920705980_0.edn
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{:highlights [{:id #uuid "648c5e0c-b0b1-4129-b172-3ff95ff4a41c",
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:page 4,
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:position {:bounding {:x1 14.173179626464844,
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:y1 13.255218505859375,
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:x2 234.22313690185547,
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:y2 39.921875,
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:width 604.7249999999999,
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:height 453.54333333333324},
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:rects ({:x1 14.173179626464844,
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:y1 13.255218505859375,
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:x2 234.22313690185547,
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:y2 39.921875,
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:width 604.7249999999999,
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:height 453.54333333333324}),
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:page 4},
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:content {:text "Binomial Distribution"},
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:properties {:color "blue"}}],
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:extra {:page 3}}
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assets/section_2.4_1686920705980_0.pdf
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assets/section_2.4_1686920705980_0.pdf
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pages/hls__section_2.4_1686920705980_0.md
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pages/hls__section_2.4_1686920705980_0.md
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file:: [section_2.4_1686920705980_0.pdf](../assets/section_2.4_1686920705980_0.pdf)
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file-path:: ../assets/section_2.4_1686920705980_0.pdf
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- Binomial Distribution
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ls-type:: annotation
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hl-page:: 4
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hl-color:: blue
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id:: 648c5e0c-b0b1-4129-b172-3ff95ff4a41c
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@ -2692,9 +2692,11 @@
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CLOCK: [2023-06-16 Fri 17:15:12]
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CLOCK: [2023-06-16 Fri 17:15:12]
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:END:
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:END:
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- The Definition of a Random Variable ![section 2.1.pdf](../assets/section_2.1_1686906920851_0.pdf)
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- The Definition of a Random Variable ![section 2.1.pdf](../assets/section_2.1_1686906920851_0.pdf)
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collapsed:: true
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- ((648c2860-5454-45f1-80f8-1c85bce84fd1))
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- ((648c2860-5454-45f1-80f8-1c85bce84fd1))
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- ((648c290a-3532-4e56-8536-258daf7b00a7))
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- ((648c290a-3532-4e56-8536-258daf7b00a7))
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- Distribution Function
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- Distribution Function
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collapsed:: true
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- ((648c2970-9091-4f46-8745-b0c10cdeb832))
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- ((648c2970-9091-4f46-8745-b0c10cdeb832))
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collapsed:: true
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collapsed:: true
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- ((648c2994-36eb-44bf-8038-e49d2390a5b0))
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- ((648c2994-36eb-44bf-8038-e49d2390a5b0))
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@ -2710,6 +2712,7 @@
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collapsed:: true
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collapsed:: true
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- ((648c2c54-b536-40ba-8191-ef1aeb2be0b9))
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- ((648c2c54-b536-40ba-8191-ef1aeb2be0b9))
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- ((648c2c9a-fcca-43e3-94a6-466f52131b48))
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- ((648c2c9a-fcca-43e3-94a6-466f52131b48))
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collapsed:: true
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- ((648c2d05-82d4-472f-901c-b362852e2a3a))
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- ((648c2d05-82d4-472f-901c-b362852e2a3a))
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- 换元的示例
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- 换元的示例
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collapsed:: true
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collapsed:: true
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@ -2719,7 +2722,9 @@
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collapsed:: true
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collapsed:: true
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- ((648c48ac-76be-4848-af0d-1532467c8d68))
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- ((648c48ac-76be-4848-af0d-1532467c8d68))
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- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
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- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
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collapsed:: true
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- Expectation
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- Expectation
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collapsed:: true
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- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
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- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
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- Examples:
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- Examples:
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collapsed:: true
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collapsed:: true
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@ -2730,11 +2735,14 @@
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collapsed:: true
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collapsed:: true
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- ((648c5381-49cd-4701-ba48-31c0e21474a7))
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- ((648c5381-49cd-4701-ba48-31c0e21474a7))
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- Properties:
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- Properties:
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collapsed:: true
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- ((648c568e-c617-4699-b217-fd4e8ea205bc))
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- ((648c568e-c617-4699-b217-fd4e8ea205bc))
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- Linerarity:
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- Linerarity:
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((648c569c-e3d0-445d-acf6-caf0e271f7be))
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((648c569c-e3d0-445d-acf6-caf0e271f7be))
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- Variance
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- Variance
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collapsed:: true
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- Definition:
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- Definition:
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collapsed:: true
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- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
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- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
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- Alternative calculation:
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- Alternative calculation:
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collapsed:: true
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collapsed:: true
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@ -2751,15 +2759,24 @@
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collapsed:: true
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collapsed:: true
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- ((648c5b30-e75f-4f0c-bb7d-985442728fbe))
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- ((648c5b30-e75f-4f0c-bb7d-985442728fbe))
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- LATER Moments of random variable
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- LATER Moments of random variable
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collapsed:: true
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- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
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- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
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- Application of Expectation and Variation
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- Application of Expectation and Variation
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collapsed:: true
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- *Markov's inequality*: when **only mean** is known #flashcard
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- *Markov's inequality*: when **only mean** is known #flashcard
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collapsed:: true
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- ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad))
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- ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad))
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- *Chebyshev's inequality*: when **mean an variance are** known #flashcard
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- *Chebyshev's inequality*: when **mean an variance are** known #flashcard
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collapsed:: true
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- ((648c5c81-d93b-4859-9ee0-37cceb8fd100))
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- ((648c5c81-d93b-4859-9ee0-37cceb8fd100))
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- **Usage** of Markov's inequality and Chebyshev's inequality
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- **Usage** of Markov's inequality and Chebyshev's inequality
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collapsed:: true
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- ((648c5cf5-239a-4d47-a57a-d65c53c215c4))
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- ((648c5cf5-239a-4d47-a57a-d65c53c215c4))
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- **Example**:
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- **Example**: ((648c5de0-d650-443a-8a67-768066dce154))
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collapsed:: true
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-
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- ((648c5e0c-b0b1-4129-b172-3ff95ff4a41c)) and ![section 2.4.pdf](../assets/section_2.4_1686920705980_0.pdf)
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-
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- LATER 学积分
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- LATER 学积分
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:LOGBOOK:
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:LOGBOOK:
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CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01
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CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01
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