Joint probability distributions: Discrete Variables Two Discrete Random ...
Joint probability distributions: Discrete Variables
Probability mass function (pmf) of a single discrete random variable X specifies how much probability mass is placed on each possible X value. The joint pmf of two discrete random variables X and Y describes how much probability mass is placed on each possible pair of values (x, y):
p(x, y) = P(X = x and Y = y)
___________________________________________________________________________________
Copyright Prof. Vanja Dukic, Applied Mathematics, CU-Boulder
STAT 4000/5000
1
Two Discrete Random Variables
Like single pmf, joint pmf has to be positive, and add up to 1:
p(x, y) 0 and
p(x, y) = 1
Events: sets consisting of elements (x, y). Examples: A = {(x, y): x + y = 5} B = {(x, y): max(x, y) 3}} C = {(x, y): x = 5} D = {(x, y): x ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- the gaussian distribution washington university in st louis
- joint and marginal distributions university of arizona
- 7 joint marginal and conditional distributions
- chapter 3 multivariate distributions university of chicago
- the marginal distribution an example using the normal distributions
- bayesian inference chapter 9 linear models and regression
- chapters 5 multivariate probability distributions brown university
- chapter 5 multivariate probability distributions umass
- formal modeling in cognitive science school of informatics
- joint distributions discrete case university of illinois urbana
Related searches
- discrete random variables calculator
- discrete random variable variance
- joint probability density function calculator
- discrete variables statistics
- variance discrete random variable calculator
- mean of discrete random variable calculator
- conditional joint probability rules
- mean of a discrete random variable calculator
- discrete random variable calculator online
- continuous and discrete variables examples
- standard deviation of discrete random variable calculator
- discrete random variable expected value