Random variables videos

Random variables

Discrete and continuous random variables

Constructing a probability distribution for random variable

Probability models example: frozen yogurt

Valid discrete probability distribution examples

Probability with discrete random variable example

Mean (expected value) of a discrete random variable

Variance and standard deviation of a discrete random variable

Probabilities from density curves

Probability density functions

Impact of transforming (scaling and shifting) random variables

Example: Transforming a discrete random variable

Mean of sum and difference of random variables

Intuition for why independence matters for variance of sum

Variance of sum and difference of random variables

Example: Analyzing distribution of sum of two normally distributed random variables

Example: Analyzing the difference in distributions

Deriving the variance of the difference of random variables

Binomial variables

Recognizing binomial variables

Binomial distribution

10% Rule of assuming "independence" between trials

Generalizing k scores in n attempts

Visualizing a binomial distribution

Binomial probability example

Free throw binomial probability distribution

Graphing basketball binomial distribution

Binompdf and binomcdf functions

Mean and variance of Bernoulli distribution example

Bernoulli distribution mean and variance formulas

Expected value of a binomial variable

Finding the mean and standard deviation of a binomial random variable

Variance of a binomial variable

Geometric random variables introduction

Probability for a geometric random variable

Cumulative geometric probability (greater than a value)

Cumulative geometric probability (less than a value)

TI-84 geometpdf and geometcdf functions

Proof of expected value of geometric random variable

Term life insurance and death probability

Getting data from expected value

Expected value while fishing

Expected profit from lottery ticket

Comparing insurance with expected value

Law of large numbers

Poisson process 1

Poisson process 2