Random variable and its probability distribution
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A Random Variable or Stochastic Variable or Random quantity in the field of probability and statistics is a variable quantity, whose possible values depend on a set of random outcome events in random manner.
The outcome space is defined in terms of set theory or a set.
A random variable is a function associating a real number with each outcome of a sample space S of a random experiment and it is denoted by X.
Domain of a random variable X is a sample space S and codomain or range of a random variable X is the set of real values taken by X, Thus, symbolically X: S-> R.
Types of Random Variable
There are two types of Random Variable:
Discrete Random Variable
Continuous Random Variable
Discrete Random Variable
A random variable X which can assume countable number of isolated values (integers) is called discrete random variable. The meaning of the word ‘discrete’ is separate and individual
Examples:
The outcome space is defined in terms of set theory or a set.
A random variable is a function associating a real number with each outcome of a sample space S of a random experiment and it is denoted by X.
Domain of a random variable X is a sample space S and codomain or range of a random variable X is the set of real values taken by X, Thus, symbolically X: S-> R.
Types of Random Variable
There are two types of Random Variable:
Discrete Random Variable
Continuous Random Variable
Discrete Random Variable
A random variable X which can assume countable number of isolated values (integers) is called discrete random variable. The meaning of the word ‘discrete’ is separate and individual
Examples:
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