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National Taiwan University
頑想學概率:機率二 (Probability (2))
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National Taiwan University

頑想學概率:機率二 (Probability (2))

葉丙成

Instructor: 葉丙成

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5 modules
Gain insight into a topic and learn the fundamentals.
4.8

(92 reviews)

1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

5 modules
Gain insight into a topic and learn the fundamentals.
4.8

(92 reviews)

1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
  • About
  • Modules
  • Recommendations
  • Testimonials
  • Reviews

Skills you'll gain

  • Probability Distribution
  • Calculus
  • Statistics
  • Probability
  • Probability & Statistics
  • Game Design

Details to know

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Assessments

6 assignments

Taught in Chinese (Traditional)

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There are 5 modules in this course

這是一個機率的入門課程,著重的是教授機率基本概念。另外我們的作業將搭配臺大電機系所開發的多人競技線上遊戲方式,讓同學在遊戲中快樂的學習,快速培養同學們對於機率的洞察力與應用能力。

歡迎各位小夥伴加入「頑想學概率:機率二」!本課程延續「頑想學概率:機率一」,是前者的進階課程。在這一週我們將介紹專於於連續隨機變數的一個函數──機率密度函數 PDF ──並介紹連續機率分布。

What's included

5 videos2 readings1 assignment

5 videos•Total 57 minutes
  • 課程簡介•1 minute
  • 機率一、二哪裡不一樣?•4 minutes
  • 5-0:咱們來聊聊•14 minutes
  • 5-1:機率密度函數 PDF•19 minutes
  • 5-2:連續機率分佈 I•18 minutes
2 readings•Total 2 minutes
  • NTU MOOC 課程問題詢問與回報機制•1 minute
  • 投影片下載•1 minute
1 assignment•Total 30 minutes
  • 第五週作業•30 minutes

本週我們將延續上週還沒說完的連續機率分布,並介紹離散的隨機變數期望值。

What's included

9 videos1 assignment

9 videos•Total 123 minutes
  • 6-0:咱們聊聊,成功者的條件是什麼? •10 minutes
  • 6-1.a:連續機率分佈 II (上)•15 minutes
  • 6-1.b:連續機率分佈 II (中) •16 minutes
  • 6-1.c:連續機率分佈 II (下) •17 minutes
  • 6-1.d:連續機率分佈 II (末) •5 minutes
  • 6-2.a:期望值 I (上) •16 minutes
  • 6-2.b:期望值 I (中) •10 minutes
  • 6-2.c:期望值 I (下) •16 minutes
  • 6-2.d:期望值 I (末) •14 minutes
1 assignment•Total 30 minutes
  • 第六週作業•30 minutes

上週提到離散的隨機變數期望值,本週我們會談到離散的隨機變數期望值該怎麼算出來?在 7-2 和 7-3 我們會了解隨機變速的函數、條件的幾率分佈、和失憶性──之前我們有提到 Geometric Distribution 跟Exponential 都是失憶性的這種幾率分佈,那什麼叫失憶性 (Memoryless) 呢?

What's included

7 videos1 assignment

7 videos•Total 105 minutes
  • 7-0:咱們聊聊,每天都在忙,忙的有用嗎?•24 minutes
  • 7-1.a:期望值 II (上)•14 minutes
  • 7-1.b:期望值 II (下) •13 minutes
  • 7-2.a: 隨機變數之函數 (上) •10 minutes
  • 7-2.b: 隨機變數之函數 (下) •8 minutes
  • 7-3.a: 條件機率分佈與失憶性 (上)•15 minutes
  • 7-3b: 條件機率分佈與失憶性 (下) •19 minutes
1 assignment•Total 30 minutes
  • 第七週作業•30 minutes

前面幾個禮拜我們所考慮的問題都是只有一個隨機變數的狀況,這週我們要介紹聯合機率分布 (Joint probability distribution)、邊際機率分布 (Marginal probability distribution),探討:如果有兩個隨機變數的話會有什麼不一樣的地方?期望值又是怎麼定義的?

What's included

8 videos1 assignment

8 videos•Total 120 minutes
  • 8-0:咱們聊聊,如何探索有意義的人生?•22 minutes
  • 8-1.a:聯合機率分佈 (上)•14 minutes
  • 8-1.b:聯合機率分佈 (中) •15 minutes
  • 8-1.c:聯合機率分佈 (下)•17 minutes
  • 8-1.d:聯合機率分佈 (末) •11 minutes
  • 8-2:邊際機率分佈 •12 minutes
  • 8-3.a:雙變數期望值 (上) •10 minutes
  • 8-3.b:雙變數期望值 (下) •17 minutes
1 assignment•Total 25 minutes
  • 第八週作業•25 minutes

頑想學概率最後一週課程,內容一樣有趣又充實!如果有好幾個隨機變數我們把它加在一起, 那加在一起之後產生的這個新的隨機變數,它的這個機率分布到底是什麼呢?MGF (Moment Generating Function) 是什麼?該怎麼用它找到隨機變數的機率分布?還有一定要知道的機率學中最重要的「萬佛朝宗」定理──中央極限定理!

What's included

9 videos2 assignments

9 videos•Total 123 minutes
  • 9-1.a:隨機變數之和 (上)•11 minutes
  • 9-1.b:隨機變數之和 (下) •13 minutes
  • 9-2.a:MGF (上) •10 minutes
  • 9-2.b:MGF (中) •14 minutes
  • 9-2.c:MGF (下) •15 minutes
  • 9-3.a:多個隨機變數和 (上) •10 minutes
  • 9-3.b:多個隨機變數和 (下) •13 minutes
  • 9-4.a:中央極限定理-萬佛朝宗 (上) •16 minutes
  • 9-4.b:中央極限定理-萬佛朝宗 (下) •17 minutes
2 assignments•Total 80 minutes
  • 第九週作業•30 minutes
  • 期末考•50 minutes

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5.0 (5 ratings)
葉丙成

Top Instructor

葉丙成
National Taiwan University
2 Courses•21,997 learners

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National Taiwan University

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National Taiwan University

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4.8

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Reviewed on Aug 8, 2017

课程很好,叶老师讲课十分风趣,通过本门课程可以增加对概率论的理解,作业题存在难度,需要花时间但对加深理解有作用。非常感谢叶老师~

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