RD Sharma Class 12 Chapter 31 Solutions Mean and Variance of a Random Variable - Download PDF Free Online

Practice with proper guidance is essential for the class 12 students to achieve their best in the public exams. Continuous series of tests and exams that the students face make them occupied routinely. Most of them do not find time to hire extra tuition for homework guidance. The final chapter in mathematics, Mean and Variance of a Random Variable, has never been relatively easy for every student. And the majority of these students follow the RD Sharma Class 12 Chapter 31 reference book.

The portion is given in Class 12 chapter 31, Mean and Variance of a Random Variable, is easy for the students who have a clear idea of the previous chapter, Probability. There are two exercises in this chapter, ex 31.1 and ex 31.2. The concepts in these exercises are finding the probability distribution, the mean, standard deviation (SD), and variance of the probability distributions. In the RD Sharma Class 12 Chapter 31 PDF guidance, the students can quickly solve the sums given in this chapter.

The topics also contain various sums from concepts using coins, dice, cards, balls, and so on, as given in the Probability chapter. The first exercise, ex 31.1, consists of 37 questions, and the second or the last exercise, ex 31.2, contains 33 questions. The students need not depend on various guides to solve these sums. The RD Sharma Class 12 Solutions Chapter 31 is more than enough. Once the students refer to this book from day 1, nothing can be an obstacle for scoring good marks.

Overall, the 31st chapter of the class 12 mathematics book consists of 70 questions parted into two exercises. To work out these sums and practice numerous additional questions, the students can use the Class 12 RD Sharma Solutions Chapter 18 reference material. This speeds up their ability to work out the sums and build confidence to face the public exams.

RD Sharma Class 12 Solutions Chapter31 Mean and Variance of a Random Variable- Exercise Wise

• Chapter 31- Mean and Variance of a Random Variable - Ex-31.1

• Chapter 31- Mean and Variance of a Random Variable - Ex-31.2

• Chapter 31- Mean and Variance of a Random Variable - Ex-FBQ

• Chapter 31- Mean and Variance of a Random Variable - Ex-MCQ

• Chapter 31- Mean and Variance of a Random Variable - Ex-VSA

Students can also refer:

More about RD Sharma Solutions for Class 12 Mathematics Chapter 31

Depending on a teacher or a tutor for clarification of doubts 24 x 7 is almost impossible. Here is where the best set of RD Sharma solution materials lends a helping hand to most students. The various methods of solving a sum will broaden the students’ perspective on mathematics and their knowledge.

Even the CBSE schools suggest that their students possess a copy of these solution books to answer their doubts while solving homework sums. The students have the freedom to choose the method that works well for them. In addition, the plenty of practise questions given in the book allows them to work out more sums on the particular concept.

When it comes to buying a proper solution book, the cost will range from a few hundred to thousands. But the RD Sharma solutions can be obtained in the PDF format from the Career 360 website form completely free of cost. The students can either refer to it online or even download it to their device to use offline. An abundance of previous batch students has crossed their benchmark scores with the help of RD Sharma books during exam preparation.

This set of books can be referred to with complete confidence as the solutions are given by teachers who have expertise in the particular domain. The Class 12 RD Sharma Solutions Chapter 31 is the key solution guide to clear all their doubts regarding the Mean and Variance concept. Therefore, the wise decision is to own a copy of RD Sharma reference materials for homework, assignments, and exam preparation.

Benefits of RD Sharma Solutions for Class 12 Mathematics Chapter 31 Solutions

• Clarifications while doing homework and assignments:

A teacher might solve the doubts of the students at school. The problem comes while solving the homework sums in their absence. Whenever they face doubts in the Mean and variance of a Random Variable concept, the students can use the RD Sharma Class 12 Chapter 31 Solutions.

• Solve a sum in various methods:

The RD Sharma books consist of every possible method a sum can be solved. This allows the students to choose the method that they feel is easy to solve.

• Know the concept before being taught:

Not all concepts or portions in the class 12 mathematics book are challenging. With the knowledge of the previous chapters, students can try to solve some sums by themselves. However, they might encounter silly doubts, which can be clarified using the RD Sharma reference books.

• Access to public exam questions:

Most of the questions for the public exams are asked from the practice questions sessions given in the RD Sharma Class 12 Solutions. Therefore, when the students have exposure to these questions, they will gain confidence to face the public exams.

• Score well in tests and exams:

With good practice using the RD Sharma books, many students have benefitted by scoring more marks. Every class 12 student can certainly achieve when prepared for their exams using this book.

RD Sharma Chapter-wise Solutions

• Chapter 1 - Relations
• Chapter 2 - Functions
• Chapter 3 - Inverse Trigonometric Functions
• Chapter 4 - Algebra of Matrices
• Chapter 5 - Determinants
• Chapter 6 - Adjoint and Inverse of a Matrix
• Chapter 7 - Solution of Simultaneous Linear Equations
• Chapter 8 - Continuity
• Chapter 9 - Differentiability
• Chapter 10 - Differentiation
• Chapter 11 - Higher Order Derivatives
• Chapter 12 - Derivative as a Rate Measurer
• Chapter 13 - Differentials, Errors and Approximations
• Chapter 14 - Mean Value Theorems
• Chapter 15 - Tangents and Normals
• Chapter 16 - Increasing and Decreasing Functions
• Chapter 17 - Maxima and Minima
• Chapter 18 - Indefinite Integrals
• Chapter 19 - Definite Integrals
• Chapter 20 - Areas of Bounded Regions
• Chapter 21 - Differential Equations
• Chapter 22 - Algebra of Vectors
• Chapter 23 - Scalar Or Dot Product
• Chapter 24 - Vector or Cross Product
• Chapter 25 - Scalar Triple Product
• Chapter 26 - Direction Cosines and Direction Ratios
• Chapter 27 - Straight Line in Space
• Chapter 28 - The Plane
• Chapter 29 - Linear programming
• Chapter 30- Probability