頑想學概率：機率二 (Probability (2))

頑想學概率：機率二 (Probability (2))

Instructor: 葉丙成

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5 modules

Gain insight into a topic and learn the fundamentals.

93 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.

93 reviews

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

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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

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) 6 minutes
6-2.a：期望值 I (上) 17 minutes
6-2.b：期望值 I (中) 11 minutes
6-2.c：期望值 I (下) 17 minutes
6-2.d：期望值 I (末) 15 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) 11 minutes
7-2.b: 隨機變數之函數 (下) 9 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 121 minutes

8-0：咱們聊聊，如何探索有意義的人生？ 23 minutes
8-1.a：聯合機率分佈 (上) 15 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 13 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) 14 minutes
9-2.a：MGF (上) 10 minutes
9-2.b：MGF (中) 14 minutes
9-2.c：MGF (下) 16 minutes
9-3.a：多個隨機變數和 (上) 11 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) 17 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

Instructor

Instructor ratings

(6 ratings)

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葉丙成

National Taiwan University

2 Courses 22,193 learners

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National Taiwan University

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Reviewed on Aug 7, 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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