Why is it important to find the possible values of random variable?

Why is it important to find the possible values of random variable?

Random variables are very important in statistics and probability and a must have if any one is looking forward to understand probability distributions. It’s a function which performs the mapping of the outcomes of a random process to a numeric value. As it is subject to randomness, it takes different values.

Where do the values of a random variable come from?

A random variable is a variable that takes specific values with specific probabilities. It can be thought of as a variable whose value depends on the outcome of an uncertain event.

What do you need to know about random variables?

Random variable becomes a nightmare for people when they first encounter it in Probability or Statistics course. In this blog, I will take you through random variables. What if I say random variables are not variables but are functions which take up random values. I used the word function in the above definition.

Which is an example of a discrete variable?

If a variable can take countable number of distinct values then it’s a discrete random variable. For example: In an experiment of tossing 2 coins, we need to find out the possible number of heads. In this case, X is the random variable and the possible values taken by it is 0, 1 and 2 which is discrete.

Is the demand for fruit juice a random variable?

The demand for the type of fruit juice is random and can take any value. Similarly, when you toss a coin, can you say with certainty whether it will be Heads or Tails or when you throw a die, can you predict its outcome what number will come?

Why are random variables superfluous in discrete cases?

As long as we talk about discrete cases (meaning numbers are integer: we cannot get 1.5 heads), it may look like the concept of a random variable is superfluous, because we could always go look at and see how many cases satisfy our question and how many do not.