Random Variables And Its Probability Distributions
Chapter Name : Probability |
Sub Topic Code : 104_12_13_06_01 |
Topic Name : Random Variables And Its Probability Distributions |
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Sub Topic Name : Random Variables And Its Probability Distributions |
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Introduction
In many experiments outcomes of experiments are assigned numerical values. These numerical values differ with different outcomes of experiment and are called as Random Variables.
Pre-Requisites:
Knowledge of probability.
Activity:
The possible values of number of heads of coins are called as random variables as these variables are the outcomes of tossing experiment.
Real Life Question:
Number of customers waiting to be served in a restaurant at 1:00 PM are X = 1, 2, 3…. What is this X called?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Probability | Probability is the chance that something will happen. |
| Experiment | An experiment is a situation involving chance or probability that leads to results called outcomes. |
| Random Variables | A random variable is a numerical value that represents outcomes of an experiment. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| 2 Coins. | Toss two coins and note the number of heads in 2 tosses of a coin. What are the values called? |
Real life uses :
We use random variables in everyday life like to know number of customers who use ATM machine, number of goals a player has scored in soccer match etc.
Places to visit :
Number of hours you spend to do your homework. What does number of hours denote?
Practical examples around us
| Examples | Explainations |
|---|---|
| Comparison between top restaurants. | Out of 100 customers, 63 preferred Domino’s pizza, and 37 preferred Pizza Hut. Evidence that Domino’s is better. What if there was no difference in pizza so we toss a coin to know which pizza is better then the principle by which we do this is random variables. |
What you learn in Theory:
Random variables are outcomes of an experiment.
What you learn in Practice:
Random variables are numerical outcomes of an experiment and probability distribution helps us know how likely the event occurs. In economic growth random variable is the profit or loss associated with a particular business.