Conditional Distribution
A probability distribution for a sub-population is known as a Conditional Distribution that a randomly selected item in a sub-population has.
What is Conditional Distribution?
A probability distribution for a sub-population is known as a Conditional Distribution. Put another way, it shows the likelihood that a randomly selected item in a sub-population has a trait you're interested in. This is a table with a regular frequency distribution. You can, however, impose conditions on it. Conditional distributions can also be defined over a set of outcomes for one of the variables.
Example of Conditional Distribution:
$ fX_{1}|X_{2}\left (X_{1}|X_{2}=X_{2} \right )=\frac{fX_{1}X_{2}\left ( X_{1},X_{2} \right )}{f_{X_{1}X_{2}}} $
In other words, it is the joint probability of the two events divided by the marginal probability that X2 = x2.
Why is conditional distribution important?
Conditional probability is a crucial variable in various fields, including classification, decision theory, prediction, diagnostics, and other comparable scenarios. This is because one person usually makes the classification, judgement, forecast, etc.
Owais Siddiqui
Expert Tutor at Learnsignal
Qualified professional with years of experience in teaching and helping students achieve their accounting qualifications.
View all posts by Owais Siddiqui
