76,405 次近期查看

100% 在线

100% 在线

1

## Conditional probability and Independence

13 个视频 （总计 123 分钟）, 1 个阅读材料, 7 个测验
13 个视频
Conditional probability. Motivation and Example13分钟
Conditional probability. Definition8分钟
Independent events. Example7分钟
Independent events. Definition12分钟
Mosaic Plot. Visualization of conditional probabilities and Independence11分钟
Using independence to find probabilities. Examples10分钟
Pairwise and mutual independence12分钟
Bernoulli Scheme11分钟
Law of total probability14分钟
Bayes's rule4分钟
Python for conditional probabilities9分钟
Conditional probability. Highlights3分钟
1 个阅读材料
Rules on the academic integrity in the course10分钟
7 个练习
Coins, dices and conditional probability20分钟
Independence and intersection5分钟
Fair coin and independence6分钟
Mutual independence conditions5分钟
Call center total probability5分钟
Bayes's taxi companies5分钟
2

## Random variables

15 个视频 （总计 150 分钟）
15 个视频
Examples of random variables11分钟
Mathematical definition of random variable5分钟
Probability distribution and probability mass function (PMF)15分钟
Binomial distribution10分钟
Expected value of random variable. Motivation and definition14分钟
Expected value example and calculation11分钟
Expected value as best prediction15分钟
Variance of random variable. Motivation and definition7分钟
Discrete random variables with infinite number of values11分钟
Saint Petersburg Paradox. Example of infinite expected value6分钟
Geometric and Poisson distributions6分钟
Generating discrete random variables with Python11分钟
Numpy, scipy and matplotlib for generation and visualization of common distributions12分钟
Random variables. Highlights3分钟
3 个练习
Expected value exercises20分钟
Variance skill test25分钟
Random variables and geometric series10分钟
3

## Systems of random variables; properties of expectation and variance, covariance and correlation.

16 个视频 （总计 127 分钟）
16 个视频
Linear transformations of random variables8分钟
Linearity of expected value6分钟
Symmetric distributions and their expected values6分钟
Functions of random variables5分钟
Properties of variance6分钟
Sum of random variables. Expected value and variance8分钟
Joint probability distribution12分钟
Marginal distribution8分钟
Independent random variables7分钟
Another example of non-independent random variables8分钟
Expected value of product of independent random variables8分钟
Variance of sum of random variables. Covariance11分钟
Properties of covariance10分钟
Correlation of two random variables7分钟
Systems of random variables. Highlights3分钟
7 个练习
PMF of linear transformations5分钟
Expectation properties5分钟
Joint distribution skill test15分钟
Joint PMF10分钟
Variance of Binomial random variable5分钟
Covariance for a dice roll5分钟
Correlation quiz5分钟
4

## Continuous random variables

16 个视频 （总计 156 分钟）
16 个视频
Continuous random variables. Motivation and Example10分钟
Probability density function (PDF)9分钟
Cumulative distribution function (CDF)13分钟
Properties of CDF6分钟
Examples of probability density functions10分钟
Histogram as approximation to a graph of PDF11分钟
Expected value of continuous random variable9分钟
Variance of continuous random variable. Properties of expected value and variance7分钟
Transformations of continuous random variables and their PDFs11分钟
Joint CDF and PDF. Level charts. Marginal PDF10分钟
Independence, covariance and correlation of continuous random variables9分钟
Mixed random variables. Example11分钟
Generating and visualizing continuous random variables with Python10分钟
Generating correlated random variables with Python11分钟
8 个练习
CDF of discrete random variable7分钟
PDF and CDF skill test15分钟
Finding expectation with PDF5分钟
Finding variance with PDF5分钟
Expectation of a function of random variable2分钟
PDF skill test7分钟
Variance of sum of Gaussian random variables5分钟
Distinguishing random variables3分钟