The correct answer is D. all of the mentioned.
A random variable is a variable whose value is determined by chance. It is also called a stochastic variable or aleatory variable. The term “stochast” is a Greek word meaning “chance” or “fortune”. The term “aleatory” is a Latin
word meaning “of or relating to chance”.A random variable can be discrete or continuous. A discrete random variable can take on only a finite or countable number of values. A continuous random variable can take on any value in an interval.
The probability distribution of a random variable is a function that gives the probability of each possible value of the random
variable. The mean of a random variable is the sum of the values of the random variable multiplied by their probabilities. The variance of a random variable is a measure of how spread out the values of the random variable are.Random variables are used in many areas of mathematics, statistics, and physics. They are also used in many real-world applications, such as gambling, insurance, and finance.