Explain what are the types of random variable?

Types of Random Variable:
Random variables are classified into two types namely discrete and continuous random
variables.

Discrete random variable
A variable which can assume finite number of possible values or an infinite sequence of countable real numbers is called a discrete random variable.

Examples of discrete random variable:
  • Marks obtained in a test.
  • Number of red marbles in a jar.
  • Number of telephone calls at a particular time.
  • Number of cars sold by a car dealer in one month, etc.,
Continuous random variable
A random variable X which can take on any value (integral as well as fraction) in the
interval is called continuous random variable.
Examples of continuous random variable
  • The amount of water in a 10 ounce bottle.
  • The speed of a car.
  • Electricity consumption in kilowatt hours.
  • Height of people in a population.
  • Weight of students in a class.
  • The length of time taken by a truck driver to go from Chennai to Madurai, etc.

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