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YouTube

Continuous Probability Distributions

jbstatistics via YouTube

Overview

Explore continuous random variables and probability distributions in this comprehensive video series. Begin with a foundational introduction, then delve into practical examples using integration to calculate areas, percentiles, and derive mean and variance. Progress through detailed examinations of key distributions including uniform, normal, chi-square, t, and F distributions. Learn to standardize normally distributed random variables and apply the normal approximation to binomial distributions. Gain a thorough understanding of continuous probability concepts through clear explanations and practical applications.

Syllabus

An Introduction to Continuous Probability Distributions.
Finding Probabilities and Percentiles for a Continuous Probability Distribution.
Deriving the Mean and Variance of a Continuous Probability Distribution.
An Introduction to the Continuous Uniform Distribution.
An Introduction to the Normal Distribution.
Standardizing Normally Distributed Random Variables (fast version).
The Normal Approximation to the Binomial Distribution.
An Introduction to the Chi-Square Distribution.
An Introduction to the F Distribution.

Taught by

jbstatistics

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