# Courses:

## Introduction to Probability and Statistics >> Content Detail

### Calendar / Schedule

Calendar

LEC #TOPICSKEY DATES
1Probability, Set Operations
2Properties of Probability

Finite Sample Spaces, Some Combinatorics
3Multinomial Coefficients, Union of Events
4Matching Problem, Conditional ProbabilityProblem set 1 due
5Independence of Events
6Solutions to Problem Set 1
7Bayes' FormulaProblem set 2 due
8Random Variables and Distributions
9Cumulative Distribution Function
10Marginal DistributionsProblem set 3 due
11Conditional Distributions, Multivariate Distributions
12Functions of Random Variables, Convolution
13Functions of Random Variables: Sum, Product, Ratio, Maximum, Change of VariablesProblem set 4 due
14Linear Transformations of Random Vectors, Review of Problem Set 4
15Review for Exam 1
Exam 1
16Expectation, Chebyshev's Inequality
17Properties of Expectation, Variance, Standard Deviation
18Law of Large Numbers, Median
19Covariance and Correlation, Cauchy-Schwartz Inequality
20Poisson Distribution, Approximation of Binomial Distribution, Normal Distribution
21Normal Distribution, Central Limit TheoremProblem set 5 due
22Central Limit Theorem, Gamma Distribution, Beta Distribution
23Estimation Theory, Bayes' Estimators
24Bayes' EstimatorsProblem set 6 due
25Maximum Likelihood Estimators
26Chi-square Distribution, t-distribution, Confidence Intervals for Parameters of Normal Distribution
27Confidence Intervals for Parameters of Normal DistributionProblem set 7 due
28Review for Exam 2
Exam 2
29Hypotheses Testing, Bayes' Decision Rules
30Most Powerful Test for Two Simple Hypotheses
31t-test
32Two-sample t-test, Goodness-of-fit Tests, Pearson's Theorem
33Simple Goodness-of-fit Test, Composite Hypotheses
34Contingency Tables, Tests of Independence and HomogeneityProblem set 8 due
35Kolmogorov-Smirnov Goodness-of-fit Test
36Review of Test 2
37Review for the Final Exam
Final Exam