Joint Probability Distribution , Joint PMF, Marginal PMF, Bivariate RV

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  • Опубліковано 30 лип 2024
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    This video lecture of Joint Probability Distribution , Joint PMF, Marginal PMF, Bivariate RV | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
    1. What Is Bi-variate Random Variable Or Two Dimensional Random Variable ?
    2. How To find Joint Probability Mass Function & Joint Probability Distribution ?
    3. How To find Marginal Probability Mass Function of X and Y ?
    4. How To Prove Statistical Independence Of Random Variable ?
    5. Example Based On Above Topics
    #BivariateRandomVariable #JointPMF #MarginalPMF
    #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
    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
    1:40 - Bivariate Random Variable
    2:12 - Bivariate Discrete Random Variable
    2:33 - Bivariate Continuous Random Variable
    3:30 - Joint Probability Mass Function
    4:25 - Margimal Mass Function of x and y
    5:11 - X and y are independent
    5:55 - Q1.
    19:46 - Conclusion of video
    20:29 - Detailed about old videos
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КОМЕНТАРІ • 335

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +43

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    • @saidi3456
      @saidi3456 3 роки тому

      Sir what is meant by here C2

    • @amiborsadia4685
      @amiborsadia4685 3 роки тому +1

      Sir where can i find two dimensional continuous random variable topic... Please help

    • @tatumorion6077
      @tatumorion6077 3 роки тому

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    • @ibrahimbo880
      @ibrahimbo880 3 роки тому

      @Tatum Orion Yup, I've been using Flixzone for years myself :)

    • @kasonriver6071
      @kasonriver6071 3 роки тому

      @Tatum Orion Yup, been using flixzone for years myself :)

  • @lakshita1408
    @lakshita1408 3 роки тому +187

    Thank you, sir. You explained 3 hours of my course content in 20 minutes and that too better than my professors.

    • @mohitberi8355
      @mohitberi8355 3 роки тому +1

      Hii Probability and statistics ke MCQ questions ki koi info hai aapko toh please bata do @lakshitaanand

    • @bappacreations1278
      @bappacreations1278 2 роки тому +40

      @@mohitberi8355 bhai sudhar ja

    • @iviratkohli17
      @iviratkohli17 2 роки тому +19

      @@mohitberi8355 ladki dekhi nhi ki linebazi shuru
      Are teacher se hi puchh lo n:)

    • @atharvsable4848
      @atharvsable4848 Рік тому +7

      @@iviratkohli17 🤣

    • @Deadinside567
      @Deadinside567 Рік тому +10

      @@mohitberi8355 Hwas insaan ko andha bna deti hai

  • @user-rf9fi3nu3w
    @user-rf9fi3nu3w 9 місяців тому +54

    Sir I am from Bangladesh. I am a student of software engineering of university of Dhaka. Your class is too much good for BSc students. Please accept my cordial love and I really thankful to you.

    • @realhuman767
      @realhuman767 8 місяців тому +3

      Bro can u tell me hows the environment of computer science engineering

    • @rakeshsahu27
      @rakeshsahu27 7 місяців тому

      ​@@realhuman767😮

    • @Flac_mily
      @Flac_mily 7 місяців тому

      @@realhuman767 a man capable to do anything in life that's the environment

    • @-oo295
      @-oo295 7 місяців тому +1

      Bro do all bangladeshi know Hindi

    • @pankajkumar-mb3tx
      @pankajkumar-mb3tx 6 місяців тому +3

      ​@@-oo295they know how to do nagin dance

  • @Hemant_Kumar_09
    @Hemant_Kumar_09 3 роки тому +16

    Nice Teaching sir...it feels like i'm learning in a classroom... I really appreciate your teaching...

  • @user-pl7sy8mz9v
    @user-pl7sy8mz9v 3 місяці тому +1

    Sir you are the one who allows millions of students in our country to understand these topics in such an efficient manner. Thank you so much for this blessing you give us with every concept you explain🙏🙏

  • @afawithlove
    @afawithlove 4 роки тому +17

    I appreciate your hardwork and determination towards making videos. Your contents are really great as it saves a lot of time and we can learn maximum things in minimum time . Thank you.🙏🙏🙏

  • @abhijeetsingh3871
    @abhijeetsingh3871 4 роки тому +26

    believe me.. he's better than an IIT professor

    • @aadarsh7251
      @aadarsh7251 3 роки тому +4

      I guess you r also an iitian

  • @BeardYatri
    @BeardYatri 4 роки тому +2

    Thankyou so much sir ,you are great sir for me and also ideal for me .without you i can't clear my semester .your lecture help me alot sir .

  • @1ksubscribersnovideochalle844
    @1ksubscribersnovideochalle844 2 роки тому +14

    Thank you so much sir .You explain the concepts much better than IITKGP's professors.

  • @sugandhaverma4505
    @sugandhaverma4505 3 роки тому +8

    Great explanation sir 👌👌👍👍
    Really Appreciate your true effort 👏👏👏

  • @rajatrakhi8243
    @rajatrakhi8243 3 роки тому +1

    Thank you thank you Sooooo much sirr..🙏I have no words to express my happiness.. 😊 your method of teaching rlyyy Impressive. I understand it very well .

  • @tumul1474
    @tumul1474 4 роки тому +5

    thank you !! amazing lecture

  • @maneeshpandey7700
    @maneeshpandey7700 3 роки тому +1

    Once again you are the best in saving time , thanks

  • @nazeemkhan7074
    @nazeemkhan7074 3 роки тому +1

    so nice your teaching sir this is first time understand joint probability distribution.

  • @ranjanmahato2621
    @ranjanmahato2621 4 роки тому +1

    Thank u Sir... For these Lectures 💓

  • @surajbaranval3917
    @surajbaranval3917 4 роки тому +1

    Heartly thanx sir .
    No words for u but
    U r doing amazing ..

  • @neelanshsharma275
    @neelanshsharma275 7 місяців тому

    Can't Thank you enough for the efforts you put in for us sir. Extremely grateful!!

  • @wwyou-we2283
    @wwyou-we2283 Рік тому +1

    Thankyou sir,for give this knowledge and greet in your feets.

  • @ritzmittal9492
    @ritzmittal9492 4 роки тому +6

    thankyou sir coronavirus ke wajah se hm classes nhi attend kr pa rhe hai pr apke videos bhut helpful hai

  • @purvigupta6884
    @purvigupta6884 3 роки тому

    sir your all lectures are amazing and worth understanding

  • @rohitpandey166
    @rohitpandey166 3 роки тому

    You are blessing for the students

  • @tariqueahmad6602
    @tariqueahmad6602 Рік тому +1

    What a explanation. Sir u saved our time before one nyt

  • @explorervipin22
    @explorervipin22 Рік тому +1

    Thanku so much sir sir . Jo cheej me puri college ki classes me ni seekh paya vo ap ne 20 min me sikha Diya

  • @user-sb5cb5lw2o
    @user-sb5cb5lw2o 9 місяців тому

    No doubt you are a great teacher i have no words to express my opinion about you you are tooo much great mashallah

  • @abhinandanjain2399
    @abhinandanjain2399 6 місяців тому

    Thank you so much sir for this video so you are a genius person and thanks sir for providing free quality education

  • @vanakishore2337
    @vanakishore2337 2 роки тому

    Thanks for making the subject very easy for me to learn sir

  • @saumitrapathak6416
    @saumitrapathak6416 4 роки тому +1

    This guy is a god. Thank you sir

  • @abhijithkrishnan6968
    @abhijithkrishnan6968 3 роки тому

    Wow sir
    That was awesome
    Really understood a lot
    Thank you so much

  • @BharatSharma-gn1qv
    @BharatSharma-gn1qv 4 роки тому

    I like your videos sir you are so great sir i given my bsc exam by watching your videos and i got good marks i like your learning mathode

  • @wajidullah2552
    @wajidullah2552 3 роки тому

    Great lictures v vv helpful thank u for such an effort

  • @futurecoder2024
    @futurecoder2024 Рік тому +2

    Thank you.. end term ki ek din phli wali rat me dekh rha hu. Kas mid me dekh liya hota..

  • @Daily_study_vlogs
    @Daily_study_vlogs 2 роки тому

    Very well explained sir, thankyou so much.

  • @vinetip5578
    @vinetip5578 3 роки тому

    You help me a lot❤️, thanks you sir 🙏

  • @madhuradeshmukh5304
    @madhuradeshmukh5304 4 роки тому +1

    Sir, please upload next video as soon as posssible and thank you so much!

  • @user-fk3br2tp1h
    @user-fk3br2tp1h Рік тому

    Thanku soo much sir for delivering such an outstanding lecture❤❤

  • @processing34
    @processing34 2 роки тому +1

    It was really a wonderful lecture.

  • @soumitamitra7454
    @soumitamitra7454 3 роки тому

    thank u so much sir for ur hard work...

  • @dronamrajuchanda3262
    @dronamrajuchanda3262 4 роки тому

    thank you sir. as always your the best

  • @bhupenderthakur1408
    @bhupenderthakur1408 4 роки тому

    Awesome sir g ...Keep us helping..Thnx a lot

  • @nayandeepsingh2309
    @nayandeepsingh2309 5 місяців тому

    Amazing lecture, Thanks a lot sir❤❤

  • @Vaishnavi-dz6ef
    @Vaishnavi-dz6ef Рік тому

    Thank you so much for your efforts 🙏

  • @rishabhnarula1999
    @rishabhnarula1999 8 місяців тому

    thank you sir, great teaching.

  • @pakshikkothari3032
    @pakshikkothari3032 4 роки тому

    thanks sir for providing a good content

  • @shyamverma2316
    @shyamverma2316 4 роки тому

    Thanks sir for video
    God bless you

  • @t037anshulk2
    @t037anshulk2 9 місяців тому

    Sir I understood this video lecture on Joint Probability Distribution , Joint PMF, Marginal PMF, Bivariate RV ☺

  • @AmarSingh-ee7ze
    @AmarSingh-ee7ze 4 роки тому

    your way of teaching is awesome

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

    Outstanding as usual sir 🙏 🙏 🙏

  • @anishunnikrishnan6313
    @anishunnikrishnan6313 4 роки тому +2

    That was a really nice explanation to understand!

  • @golubhattuk01
    @golubhattuk01 6 місяців тому +1

    Gp sir Life saver for engineers

  • @50a-rawadeaishwaryaganesh11

    Good explanation sir.. Thank u 😊

  • @GhostYtno.1
    @GhostYtno.1 Рік тому

    thanks you so much sir for ur effort keep teaching :)

  • @mirajuddin2602
    @mirajuddin2602 3 роки тому

    Very good Lectures Sir Hope You are good.

  • @mathwinds4644
    @mathwinds4644 3 роки тому

    very nice.
    Need lecture to find joint PMF for continuous Random variable.

  • @14dayztimeap8
    @14dayztimeap8 Рік тому +1

    You are a great teacher.

  • @user-yu1rk7sf9t
    @user-yu1rk7sf9t 11 місяців тому +1

    one of the best statistics teacher.. my favourite teacher.I really don't know myself how to thank you....sir🙏🙏

  • @kalashbhagwat8743
    @kalashbhagwat8743 3 роки тому +3

    Thank you sir ,you are genius,ur presentation is very clear and understanding too, tq soo much.I request to upload videos on estimation,hypothesis testing also.thank you sir🙏

  • @manasa7522
    @manasa7522 3 роки тому

    sir, I must say ur lectures just stick to my brain!!!

  • @hinarehman6231
    @hinarehman6231 4 роки тому +1

    Thank you soo much coz you made it easily understandble....
    I learns more in less time with the help of your lectures.
    Stay blessed.
    JazakAllahu khair

  • @MukeshJanwatitaniumeducation
    @MukeshJanwatitaniumeducation 5 років тому +1

    You are doing fantastic work

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

      Hello Mukesh Janwa
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
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  • @sarvaniduvvuri5765
    @sarvaniduvvuri5765 5 років тому +1

    Thank you very much sir. It's very helpful 😊😊😊

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Sarvani Duvvuri
      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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      Dr.Gajendra Purohit

  • @akankshaporwal5566
    @akankshaporwal5566 2 роки тому

    Very good sir , awesome explanation

  • @birupakhyaroychowdhury974
    @birupakhyaroychowdhury974 5 років тому +2

    Bahut accha se aap ye topic explain kiye sir....thank u...

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Ben Watson
      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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    • @birupakhyaroychowdhury974
      @birupakhyaroychowdhury974 5 років тому +1

      @@gajendrapurohit sure sir.....

  • @muhammadali2431
    @muhammadali2431 2 роки тому

    Thankou sir you are explained very well😍😍😍😍😍

  • @shaikhsss1782
    @shaikhsss1782 3 роки тому

    Thank you so much sir from us...we all math lowes ☺️

  • @imran78603
    @imran78603 2 місяці тому +1

    Sir, I'm from Bangladesh. I am studying statistics department of Chittagong University. Your class is too must helpful for Bsc students.

    • @krishvarmora1853
      @krishvarmora1853 2 місяці тому

      HI i am from india and i have a question that at 8:46what exactly is "C" and does its value is 3 and 8,please respond

    • @user-vq1yx8db8n
      @user-vq1yx8db8n 2 місяці тому

      @@krishvarmora1853 permutation and combination of class 11

  • @ankitpatidar7194
    @ankitpatidar7194 2 роки тому +5

    he is perfect example how a teacher should be

  • @MOQAZI
    @MOQAZI 4 роки тому

    Thank You, Sir

  • @niquelous7282
    @niquelous7282 4 роки тому +3

    Some day i will definitely meet you sir... Thank you so much for helping us...

  • @realistic_1820
    @realistic_1820 8 місяців тому

    Really Thanku youuu so much sir❤❤

  • @amitgupta3163
    @amitgupta3163 4 роки тому +9

    best teacher of maths i found till now.. i understand easily everything taught!!

    • @AsmitaSingh-jh3fe
      @AsmitaSingh-jh3fe 11 місяців тому

      isme kuch samjhaya hi nhi tha ,tabhi aapko samjh aa gaya wrna concept samjhate to shayad aapko samjhne me dikkat hoti ,,

  • @khushisehrawat1324
    @khushisehrawat1324 2 роки тому +1

    Thank you so much sir. Your way of explaining the concepts are amazing .

  • @mdashiqurrahman5282
    @mdashiqurrahman5282 Рік тому

    Thank you so much sir...🌺🌺🌺

  • @manasgupta6647
    @manasgupta6647 3 місяці тому

    Perfect explanation 😊...🎉

  • @user-fq1nn1vc2p
    @user-fq1nn1vc2p 2 місяці тому +1

    Thank you thank you thank you

  • @akhileshsajwan9248
    @akhileshsajwan9248 3 роки тому +1

    Thank you sir, wasted 1 hour trying to understand from book, who knew 20 minutes we're enough 😊.

  • @Krishnayadav_04
    @Krishnayadav_04 2 роки тому

    Thank you so much sir

  • @foziafozi7316
    @foziafozi7316 4 роки тому +3

    assalam o Alaikum sir...
    bht achy s ap n smjhaya joint marginal pdf ka concept thank u so much for uploading these video...God bless u sir..

  • @prasantakumarnayak62
    @prasantakumarnayak62 2 роки тому

    Thanku you very much sir ...

  • @MihirPatel-vq3re
    @MihirPatel-vq3re 4 роки тому

    Thanks sir...helped alot

  • @anshikamishra7903
    @anshikamishra7903 3 роки тому

    Sir, please upload a video on Joint Probability Density Function!!

  • @khansehrish5366
    @khansehrish5366 2 роки тому +4

    Really appreciated sir ☺️
    Sir do lemme know have you uploaded continuous bivariate random variable??

  • @InfinityEducation1729
    @InfinityEducation1729 2 роки тому

    Thankuuuuuuuuuu soooooo much Sir 🙏🙏🙏🙏🙏🙏❤️❤️❤️❤️❤️

  • @anantkumar3598
    @anantkumar3598 3 роки тому

    Thanku sir....thanks a lot ❤️

  • @shraddhakhedkar6269
    @shraddhakhedkar6269 4 роки тому +1

    Amazing explanation!!Thanks!☺

  • @shagunsrivastava3151
    @shagunsrivastava3151 5 місяців тому

    I would've genuinely failed my statistics exam if I hadn't found this channel thank you SO much sir🙏

  • @himanshushekhardas1730
    @himanshushekhardas1730 4 роки тому

    Excellent lecture 👍

  • @ra_.styles
    @ra_.styles 2 роки тому +2

    Why are you keeping the denominator as 36? I couldn't understand the addition part(13:03)
    Can anyone help me

    • @pkm2520
      @pkm2520 6 місяців тому

      to add both x and y at the end easily

  • @chintupraveen8202
    @chintupraveen8202 3 роки тому

    Superb lecture sir❤️

  • @amitranjan6504
    @amitranjan6504 4 роки тому

    AWESOME AWESOME AWESOME SIR...

  • @amritsingh-cl6cn
    @amritsingh-cl6cn 4 роки тому

    Thanks so much sir🙏🙏

  • @vajjaharichandana6790
    @vajjaharichandana6790 4 роки тому

    Kudos to you sir

  • @mathsloversjn3453
    @mathsloversjn3453 3 роки тому

    Tq amazing explain sir

  • @DeviKumavath
    @DeviKumavath 3 роки тому

    Thank you

  • @muhammadali2431
    @muhammadali2431 2 роки тому

    Sir very helpful video

  • @UECAshutoshKumar
    @UECAshutoshKumar Рік тому +1

    Thank you sir

  • @kapiljetwani3540
    @kapiljetwani3540 3 роки тому

    you are awesome sirji!

  • @gurjotkaur5349
    @gurjotkaur5349 4 роки тому

    Sir please upload a video of bivariate contiuous probability distribution

  • @rishusingh5908
    @rishusingh5908 3 роки тому

    Thanks for these vdos

  • @arushi63
    @arushi63 3 роки тому

    thank you sir!

  • @GaneshPatil-vj1qp
    @GaneshPatil-vj1qp 4 роки тому

    thanku so much sir 😊