Скачать или смотреть Introduction to Continuous Random Variables

In this introductory video we explain the basics of continuous random variables, by comparing and contrasting them with their much better known cousin the discrete random variable. We use the example of a physical dice (which can take only values 1, 2, 3, 4, 5 and 6 - hence a discrete random variable with probability distribution function P(x)) and an electronic dice (which can take any real value whatsoever between 1 and 6, for example 4.325443 etc, - hence a continuous random variable with probability density function f(x)).
From this simple beginning we investigate and compare how to calculate various probabilities of both variable types, and conclude the video by explaining how to find the expected value E(X) and variance VAR(X) of both discrete and continuous random variables.
Within this introductory video lies much of the information required to answer most exam questions at High School and College Entrance level on continuous random variables - the other element is practice at the various question types, and we deal with that in subsequent videos in the podcast.

IMPORTANT NOTE: at 5:12 as this is an 'Introduction to' video, the author should first have said that the integral is actually between plus and minus infinity, but in the case of the e-dice it is between 1 and 6, as outside of that range f(x) = 0 and so therefore is the integral.

This video is the first in the Gresty Academy podcast 'A Crash Course in Continuous Random Variables' which can be found at    • A Crash Course in Continuous Random Variables  

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