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RD Sharma Solution for Class 12 Science Mathematics Chapter 32 - Mean and variance of a random variable

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Our RD Sharma Textbook Solutions are considered extremely helpful for solving the tough questions which are asked in the CBSE Class 12 exam. TopperLearning Textbook Solutions are compiled by subject experts. Herein, you can find all the answers to the textbook questions for Chapter 32 - Mean and variance of a random variable.

All our solutions are created in accordance with the latest CBSE syllabus, and they are amended from time to time to provide the most relevant answers. Our free RD Sharma Solutions for CBSE Class 12 Mathematics will strengthen your fundamentals in Mathematics and will help you in your attempts to score more marks in the final examination. CBSE Class 12 students can refer to our solutions any time — while doing their homework and while preparing for the exam.

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RD Sharma Solution for Class 12 Science Mathematics Chapter 32 - Mean and variance of a random variable Page/Excercise 32.1

Solution 1

Solution 2

Solution 3

Solution 4


Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

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Solution 13

 

Solution 14


Solution 15

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Solution 28

  

Solution 29

  

RD Sharma Solution for Class 12 Science Mathematics Chapter 32 - Mean and variance of a random variable Page/Excercise 32.2

Solution 1(i)

  

Solution 1(ii)


Solution 1(iii)



Solution 1(iv)


Solution 1(v)


Solution 1(vi)


Solution 1(vii)


Solution 1(viii)


Solution 1(ix)

  

Solution 2

  

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begin mathsize 12px style table attributes columnalign left end attributes row cell Let text    end text apostrophe straight X apostrophe text    end text be text    end text the text    end text random text    end text variable text    end text which text    end text can text    end text assume end cell row cell values text    end text from text    end text 0 text    end text to text    end text 3. end cell row cell straight P left parenthesis straight X equals 0 right parenthesis equals fraction numerator blank to the power of 26 straight C subscript 3 over denominator blank to the power of 52 straight C subscript 3 end fraction equals 2600 over 22100 equals 2 over 17 end cell row cell straight P left parenthesis straight X equals 1 right parenthesis equals fraction numerator blank to the power of 26 straight C subscript 1 cross times to the power of 26 straight C subscript 2 over denominator blank to the power of 52 straight C subscript 3 end fraction equals 8450 over 22100 equals 13 over 34 end cell row cell straight P left parenthesis straight X equals 2 right parenthesis equals fraction numerator blank to the power of 26 straight C subscript 2 cross times to the power of 26 straight C subscript 1 over denominator blank to the power of 52 straight C subscript 3 end fraction equals 8450 over 22100 equals 13 over 34 end cell row cell straight P left parenthesis straight X equals 3 right parenthesis equals fraction numerator blank to the power of 26 straight C subscript 3 over denominator blank to the power of 52 straight C subscript 3 end fraction equals 2600 over 22100 equals 2 over 17 end cell row cell Probability text    end text distribution text    end text of text    end text straight X colon end cell row cell table row cell straight X equals straight x subscript straight i end cell 0 1 2 3 row cell straight p left parenthesis straight X equals straight x subscript straight i right parenthesis end cell cell 2 over 17 end cell cell 13 over 34 end cell cell 13 over 34 end cell cell 2 over 17 end cell end table end cell row blank row cell Mean equals sum from straight i equals 0 to 3 of left parenthesis straight x subscript straight i cross times straight p subscript straight i right parenthesis end cell row cell equals straight x subscript 0 straight p subscript 0 plus straight x subscript 1 straight p subscript 1 plus straight x subscript 2 straight p subscript 2 plus straight x subscript 3 straight p subscript 3 end cell row cell equals 0 cross times 2 over 17 plus 1 cross times 13 over 34 plus 2 cross times 13 over 34 plus 3 cross times 2 over 17 end cell row cell equals fraction numerator 13 plus 26 plus 12 over denominator 34 end fraction end cell row cell equals 51 over 34 end cell row cell equals 3 over 2 end cell row cell equals 1.5 end cell end table end style

Solution 18

  

Solution 19

  

RD Sharma Solution for Class 12 Science Mathematics Chapter 32 - Mean and variance of a random variable Page/Excercise MCQ

Solution 1

Correct option: (d)

  

Solution 2

Correct option: (b)

  

Solution 3

Correct option: (d)

  

Solution 4

Correct option: (a)

  

 

Solution 5

Correct option: (d)

  

Solution 6

Correct option: (c)

NOTE: Question is modified. 

Solution 7

Correct option: (d)

  

 

Solution 8

Correct option: (d)

  

Solution 9

Correct option: (c)

Variance of discrete random variable is always E(X2) - (E(X))2

 

RD Sharma Solution for Class 12 Science Mathematics Chapter 32 - Mean and variance of a random variable Page/Excercise 32VSAQ

Solution 1

Solution 2

Solution 3



Solution 4

Solution 5

Solution 6

rightwards double arrow P left parenthesis x less or equal than 2 right parenthesis equals 0.3

Solution 7

TopperLearning provides step-by-step solutions for each question in each chapter in the RD Sharma textbook for class 9. Access the CBSE Class 9 Mathematics Chapter 32 - Mean and variance of a random variable for free. The textbook questions have been solved by our subject matter experts to help you understand how to answer them. Our RD Sharma Textbook Solutions will help you to study and revise, and you can easily clear your fundamentals of Chapter 32 - Mean and variance of a random variable.

Text Book Solutions

CBSE XII Science - Mathematics

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