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I learned this from Matt Parker, who then made a full video: https://youtu.be/ga9Qk38FaHM.

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We'll study the properties of probability density function. We introduce the probability density function, types of random variables ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

Elementary Business Statistics“ is a free online course on Janux that is open to anyone. Learn more at http://janux.ou.edu.

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

So, for simplicity, we assume that we have a number of random variables, which are independent and have identical distribution.

I derive the mean and variance of the Bernoulli distribution.

We need a probability density function, namely pdf, to define the distribution of the values of a continuous random variable.

So theorem is that for any two independent random variable x and y -- then a function of only x and a function of only y are also ...

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And geometrically, this is a decreasing function. So the mean of this random variable we have already calculated and it was equal ...

This video explains how to determine probabilities of continuous random variables from given probabilities.

We have defined and learnt how to find the distribution and other properties of one function of two random variables and two ...

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Marginal probability density function is the row sum or column sum of a joint probability density function, such that the dimension ...