Mathematical Expectation, Variance Of Continuous & Discrete Random Variable

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  • Опубліковано 10 лип 2024
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    This video lecture of Mathematical Expectation, Variance Of Continuous & Discrete Random Variable | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
    1. Topics Going to covered in Statistics & Probability Course
    2. What is Mathematical Expectation of Continuous & Discrete Random Variable ?
    3. How to find the Variance of Continuous & Discrete Random Variable ?
    4. Example Based on Mathematical Expectation, Variance Of Continuous & Discrete Random Variable
    #Expectation #Variance #StandardDeviation
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    This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
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    Time Stamp
    0:00 - An introduction
    1:10 - Mathematical Expectation
    2:05 - Mean
    2:38 - Variance
    4:20 - Q1.
    6:20 - Q2.
    8:19 - Q3.
    11:38 - Conclusion of video
    12:28 - Detailed about old videos
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КОМЕНТАРІ • 347

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +54

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    • @MayankKumar-bn4by
      @MayankKumar-bn4by 3 роки тому

      Itna fast kyu padhate ho aap ki mistake ho jata hai

    • @AnishDesai27
      @AnishDesai27 10 місяців тому

      @@MayankKumar-bn4by isse slow chahiye toh kindergarden jaa

  • @raisanjeeb42
    @raisanjeeb42 2 роки тому +110

    It might help if someone got confused about about of Gamma :- For +ve number
    Gamma(x) = (x-1)! , where !=Factorial

  • @banhishikhamondal5986
    @banhishikhamondal5986 4 роки тому +148

    Sir I think there's a mistake in the calculation of E(x^2) at 11:10 . The value you got is 1 but it is coming 0.5

    • @rampurahussain36
      @rampurahussain36 3 роки тому +13

      Yes 0.5 is correct

    • @captainakjahangir7448
      @captainakjahangir7448 3 роки тому +21

      @@rampurahussain36 So varience become 0.25 .

    • @NormieCyrox
      @NormieCyrox 2 роки тому +12

      a to the power 3 hona chiye na niche

    • @AbhishekYadav-hz5xt
      @AbhishekYadav-hz5xt 2 роки тому +3

      @@NormieCyrox ha bro power 3 aani chaiye na??

    • @AD_MUZIC
      @AD_MUZIC 2 роки тому +6

      @@NormieCyrox Yes it will be 4/8 , then 1/2 i.e 0.5 is the value of E[X^2]

  • @sankalpsingh6565
    @sankalpsingh6565 3 роки тому +9

    A very short and compact vdo which is enough for clearing concept. Perfect.

  • @adityas167
    @adityas167 4 роки тому +8

    Sir you teach very very very good... Keep it up... Sir 500k soon sir... We all students will help you to motivate to make more videos

  • @priyankjoshi2980
    @priyankjoshi2980 5 років тому +17

    Thank You so much, sir... It cleared all of my doubts.

  • @kautukraj
    @kautukraj 3 роки тому +6

    Very helpful, thank you!

  • @vadyamtyagi2798
    @vadyamtyagi2798 4 роки тому +4

    Sir we engineering students are in need for the hypothesis topic of statistic because there is not a good content on youtube of that topic, so can you post your videos on that topic also. Thank you

  • @abhinandanjain2399
    @abhinandanjain2399 5 місяців тому

    Thank you so much sir this will this video is very helpful my doubt gets cleared from you thank you so much for giving quality education

  • @scorpioaakash
    @scorpioaakash 4 роки тому +40

    sir i have a doubt in the question where 13 cards are drawn from the pack. here we have only calculated expected card value not the expected total score in 13 cards. please clarify. thanks

    • @arijitsamal7651
      @arijitsamal7651 3 роки тому +21

      sir has done it wrong the question should be that a single card is drawn not 13 cards drawn simultaneously

    • @tejasvigupta07
      @tejasvigupta07 3 роки тому +7

      yeah, that's what I was thinking. If thirteen cards are drawn simultaneously, the problem will become very complicated.

    • @vishakhasingh3415
      @vishakhasingh3415 Рік тому +1

      exactly same doubt, the question which sir has written is much more complicated, we would have to take score range from 28 to 130

  • @kindykomal
    @kindykomal 2 роки тому +4

    Thank you so much sir 🙏🏻 Great explanation of concept 💯

  • @Soumyayoutube
    @Soumyayoutube 3 роки тому +2

    great content! thank you so much!!

  • @quak9144
    @quak9144 2 роки тому

    Thanks sir for such helpful vedios
    after watching your vedios sir
    Now I'm sure exams are going to be great

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    @DarkFire-qf5lv Рік тому

    Sir u are life saver during xam time

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    @vaibhavjoshi6853 5 років тому

    Amazing video Sir
    Thanks

  • @abdulahadrauf1272
    @abdulahadrauf1272 2 роки тому +4

    Kal mera paper hai....... Har video ke sath sir ko dua de rha hu.... Kya gajab padha hai yeh insaan 🔥🔥🔥🔥

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    @imtiyazalam_IIItian Рік тому

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  • @devimayamainali5509
    @devimayamainali5509 Рік тому +3

    You are great sir😊 outstanding explanation ♥️ crystal clear,🙏 thanks a lot♥️

  • @nooobcoder
    @nooobcoder 3 роки тому +3

    7:24 se dekho, Express train kise kehte hai
    Board pe sabse fast likhne wale, Only Gajendra sir, hands down sir, your lectures save me from college studies. Keep it up!

  • @sakshisingh4062
    @sakshisingh4062 5 років тому +32

    A mistake at 11:30 sir....2 raise to the power 3 hona chahiye

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +36

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    • @gajendrapurohit
      @gajendrapurohit  5 років тому +10

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    • @jugalkishoredeka1764
      @jugalkishoredeka1764 3 роки тому +1

      yup!!

  • @asimali5808
    @asimali5808 4 роки тому

    thnku sir ur method of teaching is best for me

  • @yuktachaudhary8751
    @yuktachaudhary8751 3 роки тому

    Sir you are inspiration for me😊😊

  • @princekasaudhan21
    @princekasaudhan21 4 роки тому

    👍👍Thank u so much sir...

  • @user-pl7sy8mz9v
    @user-pl7sy8mz9v 3 місяці тому +2

    Please someone confirm to me, in the q2 part, sir had gotten the probability for single card drawn event and then calculated the expectation. But in the question it was for 13 cards drawn event, without replacement(implied in question). So I think the answer should be different for that one, right?

  • @UECAshutoshKumar
    @UECAshutoshKumar Рік тому +4

    Thank you sir ❤️

  • @DeepakKumar-mh7qr
    @DeepakKumar-mh7qr 10 місяців тому

    Thank you sir apki video mere liye bhut helpfull rhi

  • @limitXbreaker
    @limitXbreaker 5 років тому +4

    Sir plz statics aur dynamics par bhi lectures upload kriye ... Bhut difficulty hoti hai usko smjhne me

  • @anupamjha8381
    @anupamjha8381 3 роки тому +1

    Thankyou so much 😊 dear sir....

  • @santoshpinjari5812
    @santoshpinjari5812 4 роки тому +1

    Sir thank you mujhe concept achhi tarah se samaj aya

  • @CHANDANKUMAR-lc1es
    @CHANDANKUMAR-lc1es 3 роки тому

    Thanks a lot sir ! 🙏🙏🙏

  • @TusharKumar-iu4nt
    @TusharKumar-iu4nt 2 роки тому

    Superb explanation!!

  • @asbausmuhammad7596
    @asbausmuhammad7596 5 років тому +2

    Analytical geometry in 3D ki video den
    Direction ratio,or cosines k bht urgent he

  • @mrak8948
    @mrak8948 4 роки тому

    huge respect

  • @bhatuznan7134
    @bhatuznan7134 3 роки тому +7

    . Mera selection hogaya just because of u thank u very much sir

  • @sandeepbhatt4238
    @sandeepbhatt4238 2 роки тому

    Dil se apka thks mere best maths sir ❤️🇮🇳

  • @CHChandanMansani
    @CHChandanMansani 2 роки тому +5

    thank you so much sir . You help us a lot by explaining the concepts so clearly

  • @shawngirvasis
    @shawngirvasis 4 роки тому +2

    Sir when is moments releasing,will it come soon

  • @arjunjaitlee3116
    @arjunjaitlee3116 5 років тому +195

    Today is my exam and I have only watched Your videos. let's see ....!

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +125

      Best Of Luck

    • @ilabargoti5488
      @ilabargoti5488 4 роки тому +15

      Isme jo sir nhe last question k answer nikale h wo sahi h kya.. Kyuki formula k according toh 1 and 3/2 aana chahiye..
      Plz help me to solve my doubt bro

    • @sirajtayyabkhan6820
      @sirajtayyabkhan6820 3 роки тому +9

      Same watching it before exam.

    • @EBKCS_ABHISHEK_RAJGARIA
      @EBKCS_ABHISHEK_RAJGARIA 3 роки тому +6

      @@ilabargoti5488 gaama 3 by 4 hona cahiye answer means answer is 1/2

    • @ilabargoti5488
      @ilabargoti5488 3 роки тому +2

      @@EBKCS_ABHISHEK_RAJGARIA aagya tha samjh baad m

  • @abhinandanjain2399
    @abhinandanjain2399 6 місяців тому

    Thank you so much sir ji 🙏.

  • @vijaynishad6865
    @vijaynishad6865 3 роки тому

    Thank you very much sir

  • @RahulSingh-gq7ye
    @RahulSingh-gq7ye 4 роки тому +5

    Hello Sir,
    I just want to ask in CRV , can variance be zero?

  • @roadtofitness4208
    @roadtofitness4208 5 років тому +2

    Thankyou so much sir pls make video on discrete distribution as soon as you can because i have a test after 5-6 days. It will mean a lot to me

  • @ladishani7089
    @ladishani7089 4 роки тому +2

    Thank you sir aapke sabhi videos bohat hi amazing hain ....sir i have one request please make a video for BASIC STATICS...

    • @gajendrapurohit
      @gajendrapurohit  4 роки тому +2

      Hello Lad Ishani
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    • @ladishani7089
      @ladishani7089 4 роки тому +1

      @@gajendrapurohit no sir i m not preparing CSIR .... actually we have a subject probability and statistics so...

  • @meenakshibisht7053
    @meenakshibisht7053 Місяць тому

    Thank you sir❤

  • @shekharsuman5112
    @shekharsuman5112 4 роки тому +1

    Thanks sir 🙏🙏

  • @leenaassudani8246
    @leenaassudani8246 2 роки тому

    Sir please make a video on Kuhn tucker condition.

  • @pratikagarwala2919
    @pratikagarwala2919 4 роки тому

    Sir please explain donot just run behind solving for solution

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    @fidahussain7136 4 роки тому

    Sir can you share the link of the gamma and alpha function video

  • @notknown84
    @notknown84 Рік тому

    sir just one doubt what if the function f is bivariate
    will we take the other variable as it is (constant)
    kindly ans sir

  • @tatvamkrishnam6691
    @tatvamkrishnam6691 2 роки тому +6

    Sir. Thanks for the session. It's my kind request to you to make use of analogies and proofs. That alone helps anyone to understand a problem.
    Analogies helps students to get closer to the truth and feel. "Strike rate of a batsman" is a good analogy for "expectancy". If we made a stat from Mr. Sachin Tendulkar's career,
    1 runs 48% of the delivaries
    2 runs 12% of the delivaries
    3 ..... ...... .....
    .
    .
    .
    6 runs. 2% of all delivaries, and
    If the question was to find the expected run from Mr. Sachin this delivary, it makes sense as to why we use the formula that way as shown in the lecture. The E(x) gives 1.5 which means the strike rate is 150 as it is calculated for 100 balls if the batsman continues with same form!! Thank you

  • @honeysaran291
    @honeysaran291 Рік тому +1

    Sir I commented many times, there are diploma students also studying Btech so we face difficulty to understand maths, so plzz teach slow and with basic

  • @basrammeena3820
    @basrammeena3820 7 місяців тому

    Excellent Sir

  • @PrakashShrivastav41
    @PrakashShrivastav41 5 років тому +8

    Thank you so much sir. ❤you are Superior. 👌👌👌😊😊😊

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +3

      Hello PRAKASH Shrivastav
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  • @nareshgoyal705
    @nareshgoyal705 5 років тому +1

    Sir plz Shooting Method par video bnaiye exam 30th ko he very urgent sir

  • @govindjangid6201
    @govindjangid6201 4 роки тому

    Thanks sir ji....

  • @kottisaikiran3262
    @kottisaikiran3262 4 роки тому

    E{X^2(t1)*X^2(t2)} = E{X^2(t1)} * E{X^2(t2)} + 2*(E{X(t1)}E{X(t2)})^2
    I found this expression in a problem. Can you please elaborate the above expression....

  • @pranshukrishan9134
    @pranshukrishan9134 4 роки тому

    Sir you are great

  • @harishrawat2408
    @harishrawat2408 Рік тому

    Big thanks sir by me 🙏🙏🙏🙏🙏🙏

  • @bishwanathdutta7767
    @bishwanathdutta7767 2 роки тому +1

    Thank you

  • @WEDNESDAYFF762
    @WEDNESDAYFF762 4 роки тому

    Awesome Sir

  • @nisarkhan6072
    @nisarkhan6072 4 роки тому

    sir plz make vidoes about statistical inference

  • @asheerali7944
    @asheerali7944 3 роки тому

    please try to explain the importance and some theoretical importance

  • @Naveen.Kumar.rj18
    @Naveen.Kumar.rj18 Рік тому

    Nice explanation sir

  • @ghanshyamvishwakarma2343
    @ghanshyamvishwakarma2343 2 роки тому

    thank you so much sir🥰

  • @fit_tubes_365
    @fit_tubes_365 9 місяців тому

    ThankYou

  • @anjalisingh574
    @anjalisingh574 Рік тому

    Thanku so much sir

  • @MohammadShoaibAkhtar-fz1cx
    @MohammadShoaibAkhtar-fz1cx 5 місяців тому

    Helpful ❤

  • @kingkushal8435
    @kingkushal8435 3 роки тому

    How how to find median and mode for continuous random variable

  • @nidhiprakash8193
    @nidhiprakash8193 11 днів тому

    Sir, after changing (correcting) the value of E(X) , why did you remove the square from the formula, shouldn't it be (1/2)^2- (1/2)^2...in the variance part??

  • @himanshusemwal1889
    @himanshusemwal1889 5 років тому

    thankyou sir for your videos

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Himanshu Semwal
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
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  • @RajuSharma-rx9qn
    @RajuSharma-rx9qn 5 років тому +1

    Thanksir

  • @abhishekdileep5950
    @abhishekdileep5950 Рік тому

    Hi, everywhere i have seen these expectation videos , some or the other illogical example is given , like q3 wasnt an good example of what looks like a Expectation value at all , here x in xpx[x] usually is a weighted value , that is why we have long term moving average , but assigning arbitary value of the card itself as its weight is not a good expectation experiment at all , becuase we expect something when there are weights for the said thing, not just empty value to it

  • @prashantthakur9781
    @prashantthakur9781 4 роки тому +2

    Sir if I want to find E(6x+3x^2) when f(x) = 2(1-x) then what will i do? Please reply me sir

  • @nisarkhan6072
    @nisarkhan6072 4 роки тому

    thank you sir

  • @dibyendubiswas1998
    @dibyendubiswas1998 4 роки тому +1

    mean = 1/n (n1 + n2 +n3 + .........)
    I think, a mistake at 05:08 sir..
    Am I right or wrong sir ??

  • @maruthimanideepdodda2030
    @maruthimanideepdodda2030 2 роки тому

    expectation value means E(x) and mean value also be E(x) or not??

  • @kmishy
    @kmishy 3 роки тому

    THank you sir

  • @gauravsagar5718
    @gauravsagar5718 4 роки тому +2

    Are sir vo continuous wale m |2 ka kya matlab h, vo integration ke solution m jo nikala tha

  • @gaa__yatri9103
    @gaa__yatri9103 3 роки тому

    Bayesion inference of discrete random variable. Is it same??

  • @nileshdave7525
    @nileshdave7525 Рік тому

    tq so much sir

  • @kshitijverma25
    @kshitijverma25 3 роки тому

    Nice explanation

  • @Krish_Nambyal_Bisht169
    @Krish_Nambyal_Bisht169 Місяць тому

    Q3 ans : (root 3 -2)/4 , by taking n=2 in E(X) and n=3 in E(x^2) .

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty Рік тому +1

    Very nice sir 🙏 🙏 🙏 🙏

  • @santoshpinjari5812
    @santoshpinjari5812 4 роки тому

    थैंक्स सर ❤️❤️🙏🙏🙏

  • @premkishan1972
    @premkishan1972 2 роки тому +1

    THANKU SIR

  • @dineshbhati6103
    @dineshbhati6103 5 років тому

    Sir numerical analysis padha tho for competitive exam

  • @WitMeet
    @WitMeet 4 роки тому

    Thnqq !! Sir

  • @saitej4750
    @saitej4750 2 роки тому

    Sir I'm btech 2nd yr.
    This videos helpfull to me

  • @supreetshukla1
    @supreetshukla1 5 років тому +1

    Sir kurtosis ka concept introduce nhi kiya aapne?

  • @nishafunart
    @nishafunart 10 місяців тому

    Thanku ❤

  • @CRPR7
    @CRPR7 5 років тому +2

    Apka 10th wala video mere liye kafi useful tha
    Thanks sir!

  • @suresh412raj
    @suresh412raj 5 років тому +9

    Thanks for such a valuable content sir 😊... At 9:27 : Pls confirm that (integral of x^n.e^(-ax) from 0 to infinity ) = (gamma n+1 / a^(n+1)) hota h ya n+1 ki jagah n hota h... Cross check se n +1 shi aa rha h sir

    • @suresh412raj
      @suresh412raj 5 років тому

      Ok sir... Cleared in next few secondd 👍

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +2

      Hello Suresh Kumar
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit
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  • @GovindChauhan-nk8ec
    @GovindChauhan-nk8ec Рік тому

    Great sir 👌 thanku so much but sir board seems very bular some digit can't saw clearly

  • @imosama09
    @imosama09 2 роки тому

    Sir i follow your videos please upload videos on Distributions ( Mathematical). I have seen videos of an indian but could not gt it. Please upload if it is possible thanks

  • @rishavranjan6656
    @rishavranjan6656 2 роки тому

    Sir your explanations and teaching way is splendour but I would like to request for a very small thing that is can you please make your handwritting easy to decipher. thankyou

  • @MATMARIMPUDIJOMASUPRIYA
    @MATMARIMPUDIJOMASUPRIYA 3 роки тому

    Is gama and factorial the same?

  • @mayankgaur5662
    @mayankgaur5662 4 роки тому +1

    Sir pls explain the concept first & them solve questions

    • @pawan99835
      @pawan99835 9 місяців тому +1

      Aapki ab shadi ho gayi aap engineering ban Gaye Bhai 🎉

  • @Letsstartcoding-sn1vm
    @Letsstartcoding-sn1vm Рік тому +1

    how to find the gama value?

  • @Chandankumar-tc6cy
    @Chandankumar-tc6cy 7 місяців тому +3

    app nhi hota to hum fail ho jate thanks you sir

  • @jmsclassesbibiganj6197
    @jmsclassesbibiganj6197 5 років тому +1

    Best hai aap sir