MIT RES.6-012 Introduction to Probability, Spring 2018 (English) (Part 2)

   Thursday, December 12, 2024   

Starting a new Lecture Notes Series on MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015

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MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 By Lecture Notes together!

Lecture 46: L04.7 Partitions

Lecture 47: L04.8 Each Person Gets An Ace

Lecture 48: L04.9 Multinomial Probabilities

Lecture 49: L05.1 Lecture Overview

Lecture 50: L05.2 Definition of Random Variables

Lecture 51: L05.3 Probability Mass Functions

Lecture 52: L05.4 Bernoulli & Indicator Random Variables

Lecture 53: L05.5 Uniform Random Variables

Lecture 54: L05.6 Binomial Random Variables

Lecture 55: L05.7 Geometric Random Variables

Lecture 56: L05.8 Expectation

Lecture 57: L05.9 Elementary Properties of Expectation

Lecture 58: L05.10 The Expected Value Rule

Lecture 59: L05.11 Linearity of Expectations

Lecture 60: S05.1 Supplement: Functions

Lecture 61: L06.1 Lecture Overview

Lecture 62: L06.2 Variance

Lecture 63: L06.3 The Variance of the Bernoulli & The Uniform

Lecture 64: L06.4 Conditional PMFs & Expectations Given an Event

Lecture 65: L06.5 Total Expectation Theorem

Lecture 66: L06.6 Geometric PMF Memorylessness & Expectation

Lecture 67: L06.7 Joint PMFs and the Expected Value Rule

Lecture 68: L06.8 Linearity of Expectations & The Mean of the Binomial

Lecture 69: L07.1 Lecture Overview

Lecture 70: L07.2 Conditional PMFs

Lecture 71: L07.3 Conditional Expectation & the Total Expectation Theorem

Lecture 72: L07.4 Independence of Random Variables

Lecture 73: L07.5 Example

Lecture 74: L07.6 Independence & Expectations

Lecture 75: L07.7 Independence, Variances & the Binomial Variance

Lecture 76: L07.8 The Hat Problem

Lecture 77: S07.1 The Inclusion-Exclusion Formula

Lecture 78: S07.2 The Variance of the Geometric

Lecture 79: S07.3 Independence of Random Variables Versus Independence of Events

Lecture 80: L08.1 Lecture Overview

Lecture 81: L08.2 Probability Density Functions

Lecture 82: L08.3 Uniform & Piecewise Constant PDFs

Lecture 83: L08.4 Means & Variances

Lecture 84: L08.5 Mean & Variance of the Uniform

Lecture 85: L08.6 Exponential Random Variables

Lecture 86: L08.7 Cumulative Distribution Functions

Lecture 87: L08.8 Normal Random Variables

Lecture 88: L08.9 Calculation of Normal Probabilities

Lecture 89: L09.1 Lecture Overview

Lecture 90: L09.2 Conditioning A Continuous Random Variable on an Event