# RS Aggarwal Class 12 Chapter 31 Solutions (Probability Distribution)

RS Aggarwal Solutions for Class 12 Chapter 31 ‘Probability Distribution’ are curated in such a fashion that you will feel at ease solving the difficult questions of this chapter. The questions in this chapter are important for building strong fundamentals of probability and statistics. In RS Aggarwal Solutions, You will learn the most confusing topics such as what is a random variable and its probability distribution, the mean and variance of the random variable in the simplest step by step manner. This topic forms the base of various advanced topics, hence it is crucial that you grasp the gist of the probability distribution of a random variable and other topics covered in the chapter.

There is one exercise in this chapter which consists of 19 questions. The questions are very detailed in nature comprising all the important topics. Thus you can rest assured once you have practised these solutions for conceptual knowledge. You will be required to decipher each and every step with the reasoning in your answers. You can use the RS Aggarwal Class 12 Solutions for Chapter – ‘Probability Distribution’ for assistance in your homework and school exams both. Practising these questions will also help you to build an aptitude to approach the most complicated questions of Mean and Variance with confidence.

At Instasolv, we make sure that you get absolute clarity on the chapter topics. We are dedicated to providing you with a set of answers abiding with the rules established by CBSE. You will also get an idea about the pattern of questions that are asked in the CBSE exams by solving these questions. We are a committed team at Instasolv to make sure you achieve your goal of staying one step ahead of your competitors.

## Important Topics Covered in RS Aggarwal Solutions for Class 12 Chapter 31 – Probability Distribution

**Introduction to Probability Distribution:**

The Probability Distribution of a random variable is a method to find the possibility of every outcome of a random experiment or an arbitrary event. You can get the probability of different possible occurrences of outcomes. You can revisit the definition of probability that says, the probability is the uncertainty of the occurrence of a given outcome in an experiment The probability distribution is the term used for a set of random experiments of which the outcomes are not confirmed or are unpredictable in nature. You will learn to create a table of probability with the help of random variables in the heading ahead.

**Probability Distribution of Random Variables:**

The Random Variables are either discrete or continuous and sometimes both in nature. Hence, the probability of the unknown values of a random variable is defined by the probability distribution.

If two random variables have the same probability distribution, it is not essential that they will be the same, that is, they can still vary in terms of their relationships with other random variables or they might even be independent of these other random variables. You can recognise a random variable, known as random variates. This would mean the results of choosing values according to the probability distribution function of the variable, randomly.

**Types of Probability:**

We can categorise Probability Distribution into two types that are employed in various processes to generate data in various situations. These two types are as follows:

- Normal or Cumulative Probability Distribution.
- Binomial or Discrete Probability Distribution.

In this chapter, we will learn about the normal or cumulative probability distribution.

**Normal or Continuous Probability Distribution:**

In the Normal Probability Distribution, the range to which the set of possible outcomes of an event belong is continuous in nature. It is also often termed as a continuous or cumulative probability distribution. Examples of Normal Probability Distribution are: set of real numbers, also, the set of prime numbers, whole numbers, integers, complex numbers etc. A practical example of the normal probability distribution can be room temperature in a day. Therefore, you can fabricate a distribution table using the outcomes of the probability table which is known as the probability density function. Normal Probability Distribution can be given as,

The Probability Distribution of a random variable is a method to find the possibility of every outcome of a random experiment or an arbitrary event. The formula for Normal Probability Distribution is given as

### Exercise Discussion of RS Aggarwal Solutions for Class 12 Chapter 31 – Probability Distribution

- This chapter comprises 1 exercise with 19 questions comprehensively covering all the topics of the chapter.
- By solving these exercise questions, you will become proficient in finding the normal distribution and deriving the probability density function.
- These questions are based on the CBSE exam pattern and are, therefore, sufficient to help you improve your marks significantly.
- It is advised that you use these exercise solutions to supplement your studies with inclusive guidance.

### Benefits of RS Aggarwal Solutions for Class 12 Maths Chapter 31 by Instasolv

The RS Aggarwal Solution at Instasolv should be your go-to stop if you aim at achieving good marks in all the final year exams. This study resource has been created to provide you assistance from beginners to advanced level problems by the team of subject matter experts at Instasolv. You will find each and every question of the exercise mentioned as well as explained elaborately.