EE-Learning
Intuition for why independence matters for variance of sum
Catogry:
Math
Subject:
Statistics & Probability
Course:
Random Variables
Lecture List
Poisson process 2
Poisson process 1
Law of large numbers
Comparing insurance with expected value
Expected value while fishing
Expected profit from lottery ticket
Getting data from expected value
Term life insurance and death probability
Proof of expected value of geometric random variable
TI-84 geometpdf and geometcdf functions
Cumulative geometric probability (less than a value)
Cumulative geometric probability (greater than a value)
Probability for a geometric random variable
Geometric random variables introduction
Finding the mean and standard deviation of a binomial random variable
Variance of a binomial variable
Expected value of a binomial variable
Bernoulli distribution mean and variance formulas
Mean and variance of Bernoulli distribution example
Binompdf and binomcdf functions
Graphing basketball binomial distribution
Free throw binomial probability distribution
Generalizing k scores in n attempts
Binomial probability example
Visualizing a binomial distribution
Binomial distribution
10% Rule of assuming "independence" between trials
Recognizing binomial variables
Binomial variables
Example: Analyzing the difference in distributions
Example: Analyzing distribution of sum of two normally distributed random variables
Deriving the variance of the difference of random variables
Intuition for why independence matters for variance of sum
Variance of sum and difference of random variables
Mean of sum and difference of random variables
Example: Transforming a discrete random variable
Impact of transforming (scaling and shifting) random variables
Probabilities from density curves
Probability density functions
Variance and standard deviation of a discrete random variable
Mean (expected value) of a discrete random variable
Probability with discrete random variable example
Valid discrete probability distribution examples
Probability models example: frozen yogurt
Constructing a probability distribution for random variable
Discrete and continuous random variables
Random variables