Answer to Question #309886 in Algebra for badshah

Question

Differentiate between ‘discrete’ and ‘continuous’ random variables with

appropriate examples.

Answer 1

A variable is a quantity that changes in value.

A random variable is one that takes numerical values based on the outcome of a random event.

Discrete Variable: A discrete variable is one whose value may be obtained by counting, i.e. countable number of possible values. It is obtained by counting values for which there are no in-between values, such as the integers 0, 1, 2, …. For example - number of pupils in attendance, number of red marbles in a jar, number of heads while tossing three coins, grade level of children

Continuous Variable: This is a variable whose value is calculated through measurement. It is derived from data with an infinite number of possible values. Students' height and weight in class, the time it takes to arrive at school, and the distance traveled between classes are all examples of continuous variables. In addition, selecting random numbers between 0 and 1 are examples of continuous random variables because there are an infinite number of possibilities.