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@ -110,5 +110,17 @@
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:rects (),
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:page 20},
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:content {:text "[:span]", :image 1686992529065},
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:properties {:color "yellow"}}
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{:id #uuid "648d769d-a3ea-4e6c-bc93-564d88d6ed38",
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:page 21,
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:position {:bounding {:x1 31.000000000000004,
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:y1 102.08270263671875,
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:x2 717.1653442382812,
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:y2 488.9121398925781,
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:width 725.67,
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:height 544.252},
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:rects (),
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:page 21},
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:content {:text "[:span]", :image 1686992545654},
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:properties {:color "yellow"}}],
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:extra {:page 21}}
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After Width: | Height: | Size: 234 KiB |
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@ -63,3 +63,10 @@ file-path:: ../assets/section_3.4_1686989774901_0.pdf
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id:: 648d7691-7c7f-435a-a441-0a4314fd9e60
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hl-type:: area
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hl-stamp:: 1686992529065
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- [:span]
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ls-type:: annotation
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hl-page:: 21
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hl-color:: yellow
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id:: 648d769d-a3ea-4e6c-bc93-564d88d6ed38
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hl-type:: area
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hl-stamp:: 1686992545654
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@ -2819,20 +2819,25 @@
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- Uniform Distribution
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collapsed:: true
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- Definition, pdf and df :-> ((648d1aea-71f3-473b-8e72-d1ee4e629a91))
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id:: 648d1aec-b256-4d1b-91d7-9a22cc30657e
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- ((648d1b0d-fdbf-4373-84a8-a072590881a1))
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- Standard distribution ((648d1f39-bc89-4efe-98b3-1c654716cf65))
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- Properties
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collapsed:: true
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- mean and variance :-> ((648d1bfd-fcfb-43ed-801e-0de972c24cb1))
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id:: 648d1c05-1299-42a9-80e0-d877610aa19d
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- Exponential Distribution similar to -> ((648c650a-e188-49a6-9f89-9a3407057ddf))
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collapsed:: true
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- Definition: #flashcard
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id:: 648d2593-394c-4b31-a1a4-4eef625eacac
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collapsed:: true
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- ((648d25a0-12d9-47c5-b9ca-f7cafdf15d89))
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- Properties
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collapsed:: true
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- Mean, variance :-> ((648d25a0-12d9-47c5-b9ca-f7cafdf15d89))
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id:: 648d25a3-9cae-4c50-a073-749b5e364bcb
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- Memory-less #flashcard
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id:: 648d26a1-d047-40e6-bcc5-9fab241c9a37
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collapsed:: true
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- ((648d26c8-0292-4c02-8d6e-2b4f5cb10385))
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- LATER Example: connection between Poisson and Exponential distribution
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@ -2841,6 +2846,7 @@
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- Normal Distribution
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collapsed:: true
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- Definition #flashcard
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id:: 648d288a-4a44-443d-8490-500ddd24bed4
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collapsed:: true
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- ((648d2884-c239-4d00-9b6f-291bf4280dab))
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- Properties:
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@ -2848,18 +2854,23 @@
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- ((648d2931-ae90-414a-b12c-e19aa1c534fc))
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- ((648d294d-7bb2-4b6e-8aca-70dc4af6005c))
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- Standard normal distribution :-> ((648d2960-d588-4610-a643-e292ef5b793f))
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id:: 648d2951-61a2-4545-b1ee-d159f9ba1037
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- Calculating distribution between certain intervals :-> ((648d29b2-c64e-4480-b633-169fe5f0b6cd))
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id:: 648d29b8-bd11-4eb6-9240-941c2ff636f1
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- Calculating negative ones :-> ((648d29da-0535-4dd3-ae79-48b34e047339))
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id:: 648d29dc-8de6-44f5-b969-b341fc06a966
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- (Some sort of ) linearity :-> ((648d2d62-f5e5-491f-ae12-e9638ee75f7c))
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id:: 648d2d49-79da-40fc-a205-3aa0f52eb770
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- Example
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collapsed:: true
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- in specified interval ((648d2c35-041a-4575-b39d-c42c1a6f532f))
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- without knowing $$\mu$$ and $$\sigma$$: ((648d2cfd-2cef-48d2-b791-e5ac01e43fd8)) #flashcard
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id:: 648d2c39-55dd-4cfd-9a39-1c17d90ff3e3
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collapsed:: true
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- ((648d2cfd-2cef-48d2-b791-e5ac01e43fd8))
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-
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- ==Summary== #flashcard Bernoulli, Binomial, Geometric, Poisson, Uniform, Exponential, Normal
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id:: 648d2da0-7c8a-4635-b8b7-9ec0d72efc21
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- ((648d2dcb-a1da-4b22-99c8-ddcc0f059cff))
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- LATER Ch3 Random Vectors
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collapsed:: true
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@ -2880,6 +2891,7 @@
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- ((648d4b7a-64fa-4e2a-a5db-4970c647527c))
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- LATER Examples ((648d4dce-72e2-4d0b-a70e-fefaa2b1ee4c)) #flashcard
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extra:: f(-inf , y ) = 0
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id:: 648d4d7d-88ed-4993-b4ea-95172bd9315d
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collapsed:: true
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- ((648d4dd7-6ecc-479d-bd1e-0280c9bb7155))
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- Discrete random vectors
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@ -2920,6 +2932,7 @@
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- Discrete case
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collapsed:: true
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- Definition: #flashcard, similar to ((648c1481-86ac-4efa-a60a-f4787d942d76))
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id:: 648d5f70-6c2a-4cb7-b6f8-139acccd9c9c
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collapsed:: true
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- ((648d6291-12ed-4dfb-8ade-42556f17d91a))
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- Example: ((648d668a-02de-4e33-b5fe-b78b25a57b78))
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@ -2950,15 +2963,18 @@
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- $X + Y$
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- ((648d718a-6ea6-45b9-96f7-2f89ecbf54f3))
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- Can be written as: #flashcard
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id:: 648d71a6-3a5b-4ef8-b461-ab67f9b65332
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- ((648d71bc-ca55-46f9-a7d4-22a339a7f9c0))
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- Also: ((648d71dd-ce78-49c5-a12c-58dea53bd4cc))
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- Examples
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- Uniform distribution:
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- ((648d767e-8555-4232-8be8-ff27073ed790))
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- Exponential distribution : 知道过程结果 #flashcard
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id:: 648d7634-ca1e-4b05-ae6d-dadaab66fb07
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- ((648d7691-7c7f-435a-a441-0a4314fd9e60))
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- Normal distribution: 记结论
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-
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- Normal distribution: 记结论 #flashcard
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id:: 648d763a-2c89-4ec8-b09c-f034965f56c8
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- ((648d769d-a3ea-4e6c-bc93-564d88d6ed38))
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- $min(X,Y)$
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-
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- $max(X, Y)$
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