Define Random Variable. Give real-life examples.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Define Random Variable. Give real-life examples.
Random Variable:
Terminologies:
Sample Space: Collection of all possible outcomes of an random experiment.
Non empty class of subsets of sample space which is closed under complementation and closed under countable union.
then the pair is known as Measurable space.
Definition :
In Probability theory and statistics, Random variable is defined as "a real valued measurable function defined on sample space ".
Let be the two measurable spaces and be the - filed defined on sample space , then real valued function X defined from is said to be a random variable if and only if, it is -measurable function i.e. , which means inverse images with respect to X of all borel sets belonging to borel -field are must be in .
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