Random Variables And Its Probability Distributions
Chapter Name : Probability |
Sub Topic Code : 104_12_13_06_02 |
Topic Name : Random Variables And Its Probability Distributions |
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Sub Topic Name : Probability Distribution Of A Random Variable |
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Introduction
• Description giving values of random variables along with corresponding probabilities is called probability distribution of random variables. • Probability distribution helps us know how likely the event will happen and random variables are outcomes of the events.
Pre-Requisites:
• Knowledge of probability. • Knowledge of Random variables.
Activity:
By finding probabilities we can find out the possible outcomes of an experiment.
Real Life Question:
Is number of successful sales of a company a probability distribution?
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 |
|---|---|
| Basket of vegetables. | Let X denotes the number of tomatoes you select randomly from a basket. The probability that X can take the values x are (P(X>=2), at least 2 tomatoes,) P(X=2) exactly 2 tomatoes and P(X<=1, at most 2 tomatoes). |
Real life uses :
Probability distribution is used in many real life scenarios as to know number of successful sales of a company, vote count for two different candidates in an election 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 |
|---|---|
| To know profits of a company. | Companies calculate profits and probabilities associated with profit for current year. Then they calculate the chances the profit will be equal to their estimated amount for a particular year. |
What you learn in Theory:
Random variable along with corresponding probabilities is called probability distribution of random variable.
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.