Binomial Distribution | Mean & Variance | Moment Generating Function

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  • เผยแพร่เมื่อ 15 ธ.ค. 2024

ความคิดเห็น • 599

  • @gajendrapurohit
    @gajendrapurohit  5 ปีที่แล้ว +70

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @shivangiroy2509
      @shivangiroy2509 4 ปีที่แล้ว +2

      sir , bahot mast padhte hai app lekin sir thoda speed slow kariye padhna hai hume revision nhi karna hai , sir please thoda sa kam kardijiye speed

    • @AhmadRaza-nu4re
      @AhmadRaza-nu4re 4 ปีที่แล้ว +2

      Sir mjhy one question pochna he differential equation sy z=yf(x/y) kesay hu fa?

    • @sireeshakarri1500
      @sireeshakarri1500 4 ปีที่แล้ว +2

      Sir, pls tell about Rayleigh MGF and Characteristic function

    • @GunjanShrimali
      @GunjanShrimali 3 ปีที่แล้ว +1

      i touch your feet , great explain sir

    • @mathpi-rates9160
      @mathpi-rates9160 3 ปีที่แล้ว +1

      Sir green board pe proper visibility nhi hoti please use white if you can

  • @haldersubrata
    @haldersubrata 11 หลายเดือนก่อน +64

    I did my intergraded MSC in mathematics from Jadavpur university in 90's and here watching this lecture to make sure I can discuss with my son on statistics and ML (who is in 1st year CS/ IT in NIT). Sir has explained very well as he has included excercise also. This course is also very useful and needed to have in depth knowledge in ML in my organization. Once this course is completed will check whether can understand MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 and any standard book. Probability and Statistics has become very important subjects in today's job market. Suggestion to young generation as an IT executive, it might take 2/3 years to have decent amount of knowledge in statistics and ML, please do not leave in between, keep on working hard till you are convinced yourself about your skill

  • @SUDHANSHUKUMAR-db9nn
    @SUDHANSHUKUMAR-db9nn 2 ปีที่แล้ว +15

    Chalk aur board k tak tak ke awaz me ek alag hi feel hai..... Maza aa gya!!

  • @SumanAniketSurabhiAditivyas
    @SumanAniketSurabhiAditivyas 4 ปีที่แล้ว +120

    Nice presentation. I studied engineering math in 70’s & these topics were not there at that time. Now I am teaching to my daughter who is in engineering after listening your videos. Really very useful video. God bless you. Keep it up 👍.

    • @rithm3470
      @rithm3470 2 ปีที่แล้ว +6

      70's ? ,🤭😂

    • @Dexter4o4
      @Dexter4o4 2 ปีที่แล้ว +10

      @@rithm3470 so what's wrong? learning has no age bro

    • @rithm3470
      @rithm3470 2 ปีที่แล้ว +2

      @@Dexter4o4 no , he said 70's .... Like how can someone survive this much or idk if he talking about 1970

    • @Dexter4o4
      @Dexter4o4 2 ปีที่แล้ว +8

      @@rithm3470 If he is talking about 1970, then his current age may be approximately 65-70 years.
      And I think 70 is still a good age to learn something new or revise previous things.:)

    • @rithm3470
      @rithm3470 2 ปีที่แล้ว +3

      @@Dexter4o4 yeah , for sure

  • @shreyanshsharma8909
    @shreyanshsharma8909 4 ปีที่แล้ว +18

    You are the best sir. I am from iit roorkee , and i surely say that you are better from our every maths teacher from who has teached me till now. Thank you very much sir

    • @AnkitKumar-cr3qs
      @AnkitKumar-cr3qs 2 ปีที่แล้ว +1

      then why did you crack Jee 🤣😅

  • @ayushghosh1372
    @ayushghosh1372 4 ปีที่แล้ว +584

    sir please go a little slower!!!!Its tough to catch up with your lectures otherwise its awesome thanx for clearing the concepts

    • @varunteja1172
      @varunteja1172 4 ปีที่แล้ว +51

      You can reduce playback speed

    • @naveenchintha8531
      @naveenchintha8531 3 ปีที่แล้ว +27

      Brooo.... There is an option in you tube... Its called playback speed where u can adjust speed

    • @rahi3130
      @rahi3130 3 ปีที่แล้ว +5

      @Sunil Kumar bawle insan ho blkl

    • @XavierXe
      @XavierXe 3 ปีที่แล้ว +58

      Mai to 1.5x par dekhta hoon 😎

    • @pritibag6805
      @pritibag6805 3 ปีที่แล้ว +4

      You can just reduce the playback speed bro

  • @akanksha5782
    @akanksha5782 3 ปีที่แล้ว +80

    The only lecture where I don't need to increase the video speed!!! You are giving your lecture without wasting any time!! GREAT SIR!!MAY YOU LIVE LONG

    • @alkayadav8835
      @alkayadav8835 2 ปีที่แล้ว

      Mai to 1.5 or krke padh rhi thi 😅

    • @AK-vb9ks
      @AK-vb9ks 2 ปีที่แล้ว

      Mai 1.75 pe
      12 th ka exm ane wala hay

    • @meprateek
      @meprateek 2 ปีที่แล้ว +3

      @@AK-vb9ks apne syllabus ka pad le usse jyada kuch ni ata cbse board me

    • @bajrangimandalacademy4460
      @bajrangimandalacademy4460 2 ปีที่แล้ว

      Bahut achha sir ji

    • @shivagupta9420
      @shivagupta9420 ปีที่แล้ว

      Same thought comes in my mind 😂😂

  • @alenvb6996
    @alenvb6996 3 ปีที่แล้ว +19

    1:35 gajendra bantai Sir!!!!!!!! I love to hear ur classes sir ❤❤❤❤

  • @PrinceTaneja2
    @PrinceTaneja2 5 ปีที่แล้ว +102

    Finally found someone who can explain me this shit better. Thanks a lot sir.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +16

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    • @suryansh4722
      @suryansh4722 3 ปีที่แล้ว +5

      😂😂😂

    • @omop5922
      @omop5922 3 ปีที่แล้ว +16

      @@suryansh4722 this shit better pe heart milgaya 😂😂

  • @snoringaddict
    @snoringaddict 10 หลายเดือนก่อน +11

    Kl Mera exam hai , bhagwan ji bcha lena 🥺🥺

  • @niranjanasmavelil365
    @niranjanasmavelil365 4 ปีที่แล้ว +18

    sir your lectures are really awesome..this even helps for our last minute preparations..thank u for this

  • @parthasarathy944
    @parthasarathy944 3 ปีที่แล้ว +24

    Sir you are the Legendary King of Mathematics. Salute You sir. When I watch your lecture I never forget the concept because you teach the concept very clear sir . Thank for giving this gift of knowledge for free.

  • @vishnudsmiler...2316
    @vishnudsmiler...2316 3 ปีที่แล้ว +16

    U r great sir...By listening your classes I got a confidence that I can study.. thankful to u for helping many students by this classes

  • @sugamkumar3332
    @sugamkumar3332 2 วันที่ผ่านมา +1

    Thanks a lot sir for this amazing video

  • @nothing8752
    @nothing8752 4 ปีที่แล้ว +9

    Sir, I don't know how can I give you thanks. Because exactly these topics are in my syllabus and you have made this very easy... Thank you sir❤️❤️
    From Bangladesh 🇧🇩😊

  • @yashgupta417
    @yashgupta417 5 ปีที่แล้ว +26

    Hello sir,i am in 2nd yr Btech Delhi Technological University .....today was my exam...and last night i watched your videos on probability distribution...wow....amazing.....Literally loved them, the way you were explaining things was amazing...as a result exam went well too .....Thanku Sir.

    • @trey__v
      @trey__v ปีที่แล้ว +1

      same here brother ...from DTU...really helpful video

    • @Hustlermishra
      @Hustlermishra 11 หลายเดือนก่อน

      What are u doing right now brother?

  • @shivamgoswami3628
    @shivamgoswami3628 5 ปีที่แล้ว +49

    Thank you so much sir
    And u r good singer HHH TTT HHT....😛

  • @surykantchaudhary5778
    @surykantchaudhary5778 2 ปีที่แล้ว +2

    ur video is not 4 beginners , u teaches like all students know everything and ur r just revising them.
    hope i will watch ur videos next time for fast revision. thanks keep going on , may be ur video helpful for some one

  • @solihashowkat3057
    @solihashowkat3057 ปีที่แล้ว +2

    Oh oh oh sir ,u r teaching with the speed of light 😮

  • @vaibhavjoshi6853
    @vaibhavjoshi6853 5 ปีที่แล้ว +8

    Thanks a lot Sir for this amazing video 👍👍👍👍👌👌👌

  • @banhishikhamondal5986
    @banhishikhamondal5986 4 ปีที่แล้ว +38

    Sir, I think there's a mistake at 12:00 . Where did the (x-1)! go from the denominator?

    • @devanshkumar1542
      @devanshkumar1542 4 ปีที่แล้ว +7

      it is there only, he just missed it to write there.

    • @pappuray3410
      @pappuray3410 4 ปีที่แล้ว +1

      You have caught the point

    • @mathenglishjaano8177
      @mathenglishjaano8177 3 ปีที่แล้ว +1

      @@devanshkumar1542 pata hai

  • @pateldarshil5333
    @pateldarshil5333 ปีที่แล้ว

    Thanks

  • @dikshabagade5542
    @dikshabagade5542 4 ปีที่แล้ว +4

    Bhagwan hai sir aap!!!!!!!!! I study at a NIT, hamare Probability wale prof ki 1 baat nahi smjhti. Aapke videos are the only hope.
    Thank you so much sir

  • @BrutalGamer05
    @BrutalGamer05 ปีที่แล้ว +2

    1:35 to 1:45 me vibing in sir's beat.

  • @AbhishekSingh-xg3zj
    @AbhishekSingh-xg3zj 5 หลายเดือนก่อน +1

    Amazing explanation Sir. Thank you so much.

  • @amiyancandol4499
    @amiyancandol4499 4 ปีที่แล้ว +4

    Wow very helpful, question from this came in aits thank you so much sir !

  • @parthivchudasama6482
    @parthivchudasama6482 11 หลายเดือนก่อน +17

    Sir apne aapko nhi samjana Student ko samjana hai please teaching slowly

  • @VISHALJANGID8378
    @VISHALJANGID8378 3 หลายเดือนก่อน

    Your passion for teaching has truly inspired me. I've learned so much in your class, and I appreciate the way you make complex topics understandable......❤

  • @thakurprashantparmar5152
    @thakurprashantparmar5152 ปีที่แล้ว +2

    Very healthful video for me 😊
    Thank you sir ❤

  • @mycareerportal3614
    @mycareerportal3614 2 ปีที่แล้ว +1

    great explaination sir , best teacher in higher mathematics

  • @mohammedfuzailfz
    @mohammedfuzailfz 2 ปีที่แล้ว +3

    Sir your explanation is on another level🔥🔥🔥

  • @phani.05
    @phani.05 ปีที่แล้ว +2

    we should thank you for teaching the great stuff , thank you sir.

  • @aadityaiyengar7941
    @aadityaiyengar7941 5 ปีที่แล้ว +3

    Sir ji, koti koti pranaam. 🙏🏻❤️

  • @uditpanjiyar3203
    @uditpanjiyar3203 ปีที่แล้ว +1

    mind blowing derivation of formula of mean and variance of BDF🙏🙏🙏🙏

  • @harshsahu6350
    @harshsahu6350 2 ปีที่แล้ว +1

    Excellent explanation sir

  • @dishanamdev2620
    @dishanamdev2620 4 ปีที่แล้ว +3

    sir, at 12:10 where is (x-1)! which was in the denominator with[(n-1)! - (x-1)!]. I couldn't understand that please explain.

  • @nikhileshverma3760
    @nikhileshverma3760 4 ปีที่แล้ว +5

    keep going sir best one I enjoyed learning maths after a long time

  • @santeshwartiwari9725
    @santeshwartiwari9725 4 ปีที่แล้ว +2

    Thank you sir ,you are amazing teacher

  • @jayeshpatil5112
    @jayeshpatil5112 2 ปีที่แล้ว +2

    LOVE UR teaching sir less time more concept no frustation i WANT TO develope presentation skill like u only

  • @alviabbas9477
    @alviabbas9477 3 ปีที่แล้ว +1

    Sir u are grate and your way of teaching is best .plz upload vedios on condional expectation for continue radom variable .Thanks

  • @viveksinghchauhan1930
    @viveksinghchauhan1930 5 ปีที่แล้ว +10

    Pls sir we need more videos of as we are students from bsc statistics...the concept is very tough only u can explain this ..there are no you tubers who are doing this..your channel will touch soon million of views as demand for statistics is increasing day by day😘

  • @AnsariDanish1
    @AnsariDanish1 5 หลายเดือนก่อน +1

    1:35 Head Head Head 🎸🎹🎵🥁🕺🏻🕺🏻

  • @vedanand7857
    @vedanand7857 2 ปีที่แล้ว

    i fking solved whole mean and variance at just one go , i just saw it once, never rewinded or went back and after completing and just changed tabs , for 1st sec i was blind then when i started writing i wrote the the whole thing with process and i felt unbelievable , the way u explain is Gorgeous , even at 1.75x

  • @bhaskarbhuyan727
    @bhaskarbhuyan727 4 ปีที่แล้ว +1

    Well done sir it's very easy to understand

  • @prashantpatchi
    @prashantpatchi 4 ปีที่แล้ว +3

    Your way explaining stuff is really great thanks!

  • @hitachi6755
    @hitachi6755 2 ปีที่แล้ว +1

    level of explanation is for top class students only🥲speaking too fast is your choice sir but skipping some basic concepts or related topics just to make explanation/video short is not good for a weak student like me.

  • @krishkumariitbhu
    @krishkumariitbhu 2 ปีที่แล้ว +6

    I am currently in Class 12 but I love watching your videos to learn higher mathematics, Sir.
    :)

    • @braineaterzombie3981
      @braineaterzombie3981 2 ปีที่แล้ว +6

      Bhai 12th mai h kya graduation level ka padh rha h.phle 12th toh karle fir aana agar course mai hua toh

    • @arpitjain3773
      @arpitjain3773 ปีที่แล้ว +3

      @@braineaterzombie3981 bhai inko comment section me cool bnna hai apan kuch nhi kr sakte

    • @aditya3984
      @aditya3984 ปีที่แล้ว +1

      12th ka too padh le pehle

    • @krishkumariitbhu
      @krishkumariitbhu ปีที่แล้ว

      @@aditya3984 Interest naam ki cheez hoti hai, bhai.
      Kuch padhne ka mann kiya toh padh liya. Ismein itni badi kya baat ho gyi

    • @fvckbeat6077
      @fvckbeat6077 ปีที่แล้ว +1

      @@krishkumariitbhu 12th ka padhle pehle randi

  • @Sociallyunawre
    @Sociallyunawre 4 ปีที่แล้ว +2

    This video is very helpful for me
    Thank u so much sir
    Sir please upload normal distribution

  • @sevendrasingh3
    @sevendrasingh3 4 ปีที่แล้ว +1

    You are the great sir

  • @prabhakardubey6433
    @prabhakardubey6433 ปีที่แล้ว +1

    respected sir 🙏
    you are such a great person and great teacher

  • @kartikagarwal8790
    @kartikagarwal8790 ปีที่แล้ว

    Best video of binomial probability function

  • @navadeepiitbhilai9470
    @navadeepiitbhilai9470 2 ปีที่แล้ว +1

    Thank you sir iam studying in IIT but still learning form you ❤️❤️❤️❤️

  • @jawadbaba9153
    @jawadbaba9153 ปีที่แล้ว

    great sir! You have made it very easy for us. Really Thankful to you....

  • @shreeramparija7731
    @shreeramparija7731 5 ปีที่แล้ว +1

    Your videos are the best. Keep up the good work sir.

  • @pujakumari-oj4gb
    @pujakumari-oj4gb 3 ปีที่แล้ว

    I hv seen many videos on binomial dis.....but this is the best one

  • @MadhuSudan-gh1mt
    @MadhuSudan-gh1mt 3 ชั่วโมงที่ผ่านมา

    Thank u sir.....love from odisha..♥️♥️

  • @CHChandanMansani
    @CHChandanMansani 3 ปีที่แล้ว +1

    Thank you sir for explaining so nicely

  • @golubhattuk01
    @golubhattuk01 11 หลายเดือนก่อน +1

    sir bus last me npq or np smjh aaya thanks for explanation

  • @nitupran1243
    @nitupran1243 4 ปีที่แล้ว

    sir, ap apna teaching continue karte jaiye.
    me roj dekhta huin apka vedio.

  • @debasishkarmokar6323
    @debasishkarmokar6323 2 ปีที่แล้ว

    you are great sir....i understand all the method.

  • @animationcrust1993
    @animationcrust1993 4 ปีที่แล้ว +2

    Thank you for giving the knowledge for free 😊

  • @nitinrungta3320
    @nitinrungta3320 4 ปีที่แล้ว +1

    How are you getting (p+q)^n at 6:20 and 12:00 to 12:30 . What is the logical explanation?

  • @baalsudarshan1451
    @baalsudarshan1451 9 หลายเดือนก่อน

    Bs aapke bharose sir 🙏 🙏 ..thank u sir

  • @leepakshiyadav1643
    @leepakshiyadav1643 5 ปีที่แล้ว +9

    Video starts at 1:13

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +2

      Hello Leepakshi Yadav
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
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      Topic:- Differential Calculus For B.Sc. and Engineering Students
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

    • @ABc-qn9pk
      @ABc-qn9pk 4 ปีที่แล้ว

      @@gajendrapurohit boys asking many questions but why are you reply to girls only😂😂

  • @babansahani9286
    @babansahani9286 5 ปีที่แล้ว

    you are best sir ap bahut Achha se teaching karate h thanku so much

  • @tapatichakraborty1953
    @tapatichakraborty1953 4 ปีที่แล้ว

    Sir iss lockdown mai clg baand hai toh mujhe thori takleef ho rehi thi....toh apke video dekhneke baad sab bohut acche se clear ho gaya.....thank u sir....you are doing a great job

  • @saibharathavadutha7365
    @saibharathavadutha7365 5 ปีที่แล้ว +4

    Thank you so much for your lectures sir.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      Hello Sai Bharath avadutha
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit
      Keep Watching OUR latest video.
      Topic:- Differential Calculus For B.Sc. and Engineering Students
      th-cam.com/play/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI.html
      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
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      Topic:- Matrics and Linear Algebra
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      Topic:-Fourier Series
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      Topic:-Differential Equation of First Order and First Degree
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      Topic:- Higher Order Differential Equation
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      Topic:- Partial Differential Equation
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @mihrji2547
    @mihrji2547 3 ปีที่แล้ว

    North south east West
    Our GP Sir is best
    😊

  • @Jawad_Ali876
    @Jawad_Ali876 2 ปีที่แล้ว +1

    Wow sir your lecture is amazing u are really great Doctor
    Love from Pakistan ❤❤❤

  • @theviralreels96
    @theviralreels96 9 หลายเดือนก่อน

    Thankyou so much sir ji, your explanation is very good.

  • @devanshityagi8231
    @devanshityagi8231 4 ปีที่แล้ว

    Thankyou sir thankyou so much .. Itns ache se bataya apne mkko itni diikkat thi isme phele.. we love your videos!!!!

  • @rohtashbhall2671
    @rohtashbhall2671 4 ปีที่แล้ว +1

    Awesome sir ..please make videos on other distribution such as geometric distribution etc

  • @statisticianatpumhs3021
    @statisticianatpumhs3021 4 ปีที่แล้ว +1

    you are such a great teacher.

  • @vikaskumarsonkar185
    @vikaskumarsonkar185 4 ปีที่แล้ว

    this is very nice of teaching approach

  • @bhavikjain3359
    @bhavikjain3359 3 ปีที่แล้ว +8

    niche wala (x-1)! kahan gaya at 12th minute of lec??

  • @adityaaanand8001
    @adityaaanand8001 5 ปีที่แล้ว

    One of the best set of videos on the topic

  • @user-ye8st4hi4f
    @user-ye8st4hi4f 11 หลายเดือนก่อน

    this vid was uploaded in 2019 and its still relevant in 2024 and it will remain relevant for next 10-15 yrs also

  • @RehmanMansab-g1k
    @RehmanMansab-g1k 7 หลายเดือนก่อน

    Great sir. Thank you so much!

  • @parshuram3272
    @parshuram3272 2 ปีที่แล้ว

    By seeing u r vdo now i got adjusted to ur speed

  • @MinakshiBiradar-m7s
    @MinakshiBiradar-m7s ปีที่แล้ว +1

    Helpful 😊

  • @raduareporter
    @raduareporter 11 หลายเดือนก่อน +3

    Worsstttttttt explanation .. sir kuch to smjha bhi Diya kriye .. khud solve krk video khtm kyu kr dete h ?

  • @divyatripathi1991
    @divyatripathi1991 4 ปีที่แล้ว

    Sir aap bahut acha padha te hain.

  • @mdshahbaz3867
    @mdshahbaz3867 4 ปีที่แล้ว

    1 no. Sir..
    Bsc 1st year student from AMU

  • @roukinimbria7039
    @roukinimbria7039 หลายเดือนก่อน +1

    Sir esa lagta h ki aap khud padh rhe ho . Mujhe lgta h aapko speed thodi kam kr deni chahiye jisse har kisi ko aasani se smjh aa ske..

  • @adamyavatsalya5947
    @adamyavatsalya5947 2 ปีที่แล้ว +2

    Sir how to derive the variance of error?? specifically in bernouli distribution??

  • @eusha54
    @eusha54 7 หลายเดือนก่อน

    Gp sir is great🥳

  • @anilkumarbharati6938
    @anilkumarbharati6938 ปีที่แล้ว +1

    Sir i can't get point ( n-1)! /(( n-1) -(x-1) )! Can't get relationship between 4th and 5th line 12:10 .

  • @tanishka_bhu22
    @tanishka_bhu22 4 ปีที่แล้ว

    Sorry your teaching ways are awesome I don't feel sleepy

  • @ramyapadmadarshan3447
    @ramyapadmadarshan3447 3 ปีที่แล้ว

    Sir u r teaching is extraordinary sir.... Pls teach in english sir.

  • @akash3.141
    @akash3.141 4 ปีที่แล้ว +1

    Thank you sir... 😍😍😍 Following you to become a good learner

  • @therealparaskapoor
    @therealparaskapoor ปีที่แล้ว +2

    Binomial distribution mai mean ke derivation mai galti hai...
    Second last step mai denominator mai (x-1) factorial kidhar gya?
    N×p Submission n-1Cr-1 (p^r-1)(q^n-1) aayega Jo phir 1 ho jaayega aur answer np aayega.

  • @SauravMathur
    @SauravMathur ปีที่แล้ว +1

    Sir your way of teaching is very good but some mistakes in the old videos and concept is not clear properly, So please make these videos again so that other students like me don't face any problem.🙏🙏
    Have a nice day sir 😊

  • @Jahnavi-d7z
    @Jahnavi-d7z 10 หลายเดือนก่อน

    Amazing Teaching!!!!!

  • @pranshukrishan9134
    @pranshukrishan9134 5 ปีที่แล้ว +2

    Sir you are great i like your way of easy teaching. Thankuu so much for making these concepts easy for us
    Pls 🙏 join our clg😁😅

  • @akhileshtiwari9218
    @akhileshtiwari9218 ปีที่แล้ว +1

    Sir ... Like you explained the 3rd point of binomial as probability of each trial must be same what if its is not same but the other two cases satisfies can't we use binomial distribution right there in such case?

  • @SAGARSINGH-bi4mh
    @SAGARSINGH-bi4mh 8 หลายเดือนก่อน +1

    Sir ye mean variance ke derivation aati hai kya final exam me

  • @ShivamKumar-tg3vp
    @ShivamKumar-tg3vp 5 ปีที่แล้ว +10

    One minor mistake Sir, summation in case of mean will become from X= 1 to X=n and for variance X=2 to X=n

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +10

      Hello Shivam Kumar
      Thanks for Subscribing!,
      Please Avoid Mistakes, I am Very Happy that you Find Mistakes, it shows that you are watching my videos seriously. these are my old videos so there is some silly mistakes. Now from last 50 videos there is no mistakes.
      Once again Thanks n keep Watching videos and share it with your friends

    • @ShivamKumar-tg3vp
      @ShivamKumar-tg3vp 5 ปีที่แล้ว

      @@gajendrapurohit Thanx Sir ..............

    • @mrak8948
      @mrak8948 4 ปีที่แล้ว

      can u help me why from 2 to n. i know its old but still.

    • @tusharsharma7513
      @tusharsharma7513 2 ปีที่แล้ว

      @@mrak8948 I can tell you but I am asuming It's too late

    • @ndbweurt34485
      @ndbweurt34485 ปีที่แล้ว

      @@ShivamKumar-tg3vp @gajendrapurohit I didn't get how can we change the limits by ourselves from 0-n to 1-n if we started off with 0-n. Where would first term go? Please let me know if u know. Thanks

  • @user-ye8st4hi4f
    @user-ye8st4hi4f 11 หลายเดือนก่อน

    thank you for thus amazing lecture sir

  • @hareshparab7808
    @hareshparab7808 5 ปีที่แล้ว

    Sir appke vajah se mein paas hojaunga maths mein thanku sir

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 ปีที่แล้ว +1

    Very nice sir 🙏 🙏