Lecture 2 - Discrete Probability Flashcards
What is the formula for expected values?
What is the formula for the expected value of a discrete random variable?
What is the Linearity of Expectation?
What is additivity of expectation?
What is the product of Independent Variables?
What is the expected value of a constant?
The expected value of a constant is just the value of the constant for example E(a) = a
What is the formula for Variance?
Variance is ‘the expected value of the difference between an outcome and the mean squared’
What is the Scaling Property of Variance?
What is the Variance of the Sum of Independent Random Variables?
What is joint Distribution?
The probability of two variables happening at the same time
How do you find out the Marginal (Univariate) distributions?
Add the rows and colummns of the joint distribution
How to find conditional probability in a joint distribution table?
How to find expected values in a joint distribution table?
What is the formula for Covariance?
How to find E(XY) (expected value of the whole Joint Distribution table)?
First multiply each variable by each other then multiply it by its corresponding probability then sum them all up
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How to calculate expected values using marginal distribution?
How to calculate E(X^2)
What are the parameters that Binomial Distribution is defined by?
Formula for the Probability Mass Function (PMF)
What are the Characteristics of Binomial Distribution?
What is the Probability Mass Function for the Poisson Distribution?
What is the Poisson Distribution?
What is the Parameter of the Poisson distribrution?
Assumptions with Poisson Distribution?
What is the characteristics of Poisson distribution?
