Request a call back

Join NOW to get access to exclusive study material for best results

Class 12-science RD SHARMA Solutions Maths Chapter 33 - Binomial Distribution

Binomial Distribution Exercise Ex. 33.1

Solution 1


Solution 2

Solution 3

Solution 4


Solution 5

Solution 6

Solution 7

Solution 8

Required Probability =4547 over 8192

Solution 9

Solution 10

Solution 11

Solution 12


Solution 13


Solution 14

Solution 15

Solution 16

Solution 17



Solution 18

Solution 19

Solution 20



Solution 21



Solution 22


Solution 23



Solution 24



Solution 25



Solution 26


Solution 27

Solution 28

Solution 29


Solution 30

Solution 31

Solution 32


Solution 33

                                = 0.0256

Solution 34


Solution 35

Solution 36


Solution 37

Solution 38

Solution 39

Solution 40

Solution 41

Solution 42

Solution 43

Solution 44


Solution 45

Solution 46

Solution 47

Solution 48

Solution 49

Solution 50

  

Solution 51

  

Solution 52

  

Solution 53

  

Note: Answer given in the book is incorrect.

Binomial Distribution Exercise Ex. 33.2

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6


Solution 7

Solution 8

Solution 9

Solution 10

Solution 11


Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18


Solution 19

Solution 20

Solution 21

Solution 22

Out of 15 bulbs 5 are defective.

 

begin mathsize 12px style table attributes columnalign left end attributes row cell text Hence ,  the   probability   that   the   drawn   bulb   is   defective   is end text end cell row cell text P end text left parenthesis text Defective end text right parenthesis equals 5 over 15 equals 1 third end cell row cell text P end text left parenthesis text Not   defective end text right parenthesis equals 10 over 15 equals 2 over 3 end cell row cell text Let   X   denote   the   number   of   defective   bulbs   out   of   4. end text end cell row cell text Then ,  X   follows   binomial   distribution   with   end text end cell row cell straight n equals 4 comma text   end text straight p equals 1 third text   and   end text straight q equals 2 over 3 text   such   that end text end cell row cell straight P left parenthesis straight X equals straight r right parenthesis equals straight C presuperscript 4 subscript straight r open parentheses 1 third close parentheses to the power of straight r open parentheses 2 over 3 close parentheses to the power of 4 minus straight r end exponent semicolon straight r equals 0 comma 1 comma 2 comma 3 comma 4 end cell row cell text Mean end text equals sum from straight r equals 0 to 4 of rP left parenthesis straight r right parenthesis equals 1 cross times straight C presuperscript 4 subscript 1 open parentheses 1 third close parentheses open parentheses 2 over 3 close parentheses cubed plus 2 cross times straight C presuperscript 4 subscript 2 open parentheses 1 third close parentheses squared open parentheses 2 over 3 close parentheses squared end cell row cell plus 3 cross times straight C presuperscript 4 subscript 3 open parentheses 1 third close parentheses cubed open parentheses 2 over 3 close parentheses plus 4 cross times straight C presuperscript 4 subscript 4 open parentheses 1 third close parentheses to the power of 4 open parentheses 2 over 3 close parentheses to the power of 0 end cell row cell equals 32 over 81 plus 48 over 81 plus 24 over 81 plus 4 over 81 equals 108 over 81 equals 4 over 3 end cell end table end style

Solution 23

  

Solution 24

  

Solution 25

  

Binomial Distribution Exercise MCQ

Solution 1

Correct option: (a)

  

Solution 2

Correct option: (b)

  

Solution 3

Correct option: (c)

  

Solution 4

Correct option: (c)

  

Solution 5

Correct option: (a)

  

Solution 6

Correct option: (c)

  

 

Solution 7

Correct option: (a)

  

Solution 8

Correct option: (a)

  

Solution 9

Correct option: (b)

  

 

Solution 10

Correct option: (a)

  

Solution 11

Correct option: (d)

  

Solution 12

Correct option: (d)

  

Solution 13

Correct option: (a)

  

Solution 14

Correct option: (b)

  

Solution 15

Correct option: (c)

  

Solution 16

Correct option: (b)

  

Solution 17

Correct option: (d)

  

Solution 18

Correct option: (d)

 

NOTE: Answer not matching with back answer.

Solution 19

Correct option: (b)

  

Solution 20

Correct option: (b)

  

Solution 21

Correct option: (c)

  

Solution 22

Correct option: (d)

  

Solution 23

 

NOTE: Answer not matching with back answer.

Solution 24

Correct option: (b)

  

Solution 25

Correct option: (d)

  

Solution 26

Correct option: (d)

  

Solution 27

Correct option: (a)

  

Solution 28

Correct option: (a)

  

Solution 29

Correct option: (c)

In Binomial distribution trails are independent.

Solution 30

Correct option: (b)

  

Binomial Distribution Exercise Ex. 33VSAQ

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

rightwards double arrow q equals 0.4

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Get Latest Study Material for Academic year 24-25 Click here
×