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Introduction to Statistics: Probability 课程汇总帖

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zhangchen0118 发表于 2014-5-18 00:27:17 | 显示全部楼层 |阅读模式

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x
Course website:
https://www.edx.org/course/uc-be ... x-introduction-1534

About this Course:
An introduction to probability, with the aim of developing probabilistic intuition as well as techniques needed to analyze simple random samples. The focus of Stat2.2x is on probability theory: exactly what is a random sample, and how does randomness work? If you buy 10 lottery tickets instead of 1, does your chance of winning go up by a factor of 10? What is the law of averages? How can polls make accurate predictions based on data from small fractions of the population? What should you expect to happen "just by chance"? These are some of the questions we will address in the course.

Course Schedule:
Week 1: April 14 - April 20
Graded Work: Exercise Sets 1 and 2, open 00:30 UTC Monday APRIL 14 and DUE 23:00 UTC SUNDAY APRIL 20
Section 1: The two fundamental rules
    Lec 1.1: What is probability?
    Lec 1.2: Addition rule
    Lec 1.3: Multiplication rule
    Lec 1.4: Problem-solving techniques
    Exercise Set 1
    Lec 1.5: Conditional or unconditional?
    Lec 1.6: Bayes’ Rule
    Exercise Set 2

Week 2: April 21- April 27
Graded Work: MIDTERM, OPEN 00:30 UTC SATURDAY APRIL 26 AND DUE 23:00 UTC SUNDAY APRIL 27
Section 2: Random sampling with and without replacement
    Lec 2.1: Independence
    Lec 2.2: Sampling with replacement: the binomial formula
    Ungraded Exercise Set A
    Lec 2.3: Sampling without replacement: the hypergeometric formula
    Lec 2.4: Examples
    Ungraded Exercise Set B
    MIDTERM SATURDAY APRIL 26 - SUNDAY APRIl 27

Week 3: April 28 - May 4
Graded work: Exercise Set 3, open 00:30 Monday April 28 and DUE 23:00 UTC SUNDAY MAY 4
Section 3: The law of averages, and expected values
    Lec 3.1: Not the law of averages
    Lec 3.2: The law of averages
    Lec 3.3: The expected value of a random sum
    Lec 3.4: The expected value of a random average
    Exercise Set 3

Week 4: May 5 - May 11
Graded Work: Exercise Sets 4 and 5, open 00:30 Monday May 5 and DUE 23:00 UTC SUNDAY MAY 11
Section 4: The Central Limit Theorem
    Lec 4.1: The standard error of a random sum
    Lec 4.2: Probabilities for the sum of a large sample
    Exercise Set 4
    Lec 4.3: The Central Limit Theorem
    Lec 4.4: The scope of the normal approximation
    Exercise Set 5

Week 5: May 12 - May 18
Graded Work: FINAL EXAM, OPEN 00:30 SATURDAY MAY 17 AND DUE 23:00 UTC SUNDAY MAY 18
Section 5: The accuracy of simple random samples
    Lec 5.1: Errors in random percents and averages
    Lec 5.2: Sampling without replacement: the correction factor
    Lec 5.3: Accuracy
    Ungraded Exercise Set C
    FINAL EXAM SATURDAY MAY 17 - SUNDAY MAY 18


 楼主| zhangchen0118 发表于 2014-5-18 00:29:02 | 显示全部楼层
Week 1:

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 楼主| zhangchen0118 发表于 2014-5-18 00:29:25 | 显示全部楼层
Week 2:

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 楼主| zhangchen0118 发表于 2014-5-18 00:30:02 | 显示全部楼层
Week 3:

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 楼主| zhangchen0118 发表于 2014-5-18 00:30:24 | 显示全部楼层
Week 4:

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 楼主| zhangchen0118 发表于 2014-5-18 00:30:46 | 显示全部楼层
Week 5:

Week5.jpg

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