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YouTube

Random Variables, Means, Variance, and Standard Deviations in Probability and Statistics

Insights into Mathematics via YouTube

Overview

Learn about random variables, probability distributions, and key statistical concepts in this 53-minute video lecture. Explore the fundamentals of random variables as functions on probability spaces and their associated probability distributions. Discover how to calculate and interpret three crucial statistical measures: mean (expected value), variance, and standard deviation. Examine practical examples, including a lottery scenario, to reinforce your understanding of these essential probability and statistics concepts.

Syllabus

Random variables
Three numbers associated to a random variable X
Probability distribution of a random variable
Example; lottery example
Expected value / mean
Variance
Formula for variance
Standard deviation

Taught by

Insights into Mathematics

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