Name: _________________________________
1st Long Quiz FORMULA CARD
I.
Probability
Permutations
Permutations of Subsets
Permutations of Similar Objects
Combinations
Probability of a Union
Probability of Mutually Exclusive Events
Conditional Probability
Multiplication Rule
Student Number: ___________
Total Probability Rule
(Two Events)
(Multiple Events)
Independence
(Two Events)
(Multiple Events)
Bayes’ Theorem
II.
Discrete Random Variable
Probability Mass Function
Cumulative Distribution Function
Mean, Variance, and Standard Deviation
Expected Value of a Function of a Discrete Random Variable
Discrete Uniform Distribution
Mean and Variance of Discrete Uniform Distribution
Binomial Distribution
Probability mass function
Mean and Variance
Poisson Distribution
Probability mass function
Mean and Variance
III.
Continuous Random Variable
Probability Density Function
Cumulative Distribution Function
Probability Density Function from the Cumulative Distribution Function
Mean and Variance
Expected Value of a Function of a Continuous Random Variable
Continuous Uniform Distribution
Mean and Variance
Normal Distribution
Standard Normal Random Variable
Standardizing a Normal Random Variable
Standardizing to Calculate a Probability
Normal Approximation to the Binomial Distribution
Normal Approximation to the Poisson Distribution
Exponential Distribution
Mean and Variance
Lack of Memory Property
IV.
Joint Probability Distributions
Joint Probability Mass Function
Joint Probability Density Function
Marginal Probability Density Function
Conditional Probability Density Function
Conditional Mean and Variance
Independence
Joint Probability Density Function for More Than Two Random Variables
Marginal Probability Density Function
Mean and Variance from Joint Distribution
Distribution of a Subset of Random Variables
Conditional Probability Distribution
Independence
Covariance and Correlation
Expected Value of a Function of Two Random Variables
Covariance
Correlation
MULTINOMIAL PROBABILITY DISTRIBUTION
Joint Probability Mass Function
Mean and Variance
BIVARIATE NORMAL DISTRIBUTION
Bivariate Normal Probability Density Function
Conditional Distribution of Bivariate Normal Random Variables
Linear Functions of Random Variables
Linear Combination
Mean of a Linear Function
Variance of a Linear Function
Mean and Variance of an Average
Reproductive Property of the Normal Distribution
General Function of a Discrete Random Variable
General Function of a Continuous Random Variable