Binomial Distribution | Mean & Variance | Moment Generating Function

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  • Опубліковано 19 вер 2024

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  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +68

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

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

    • @sireeshakarri1500
      @sireeshakarri1500 3 роки тому +2

      Sir, pls tell about Rayleigh MGF and Characteristic function

    • @GunjanShrimali
      @GunjanShrimali 3 роки тому +1

      i touch your feet , great explain sir

    • @mathpi-rates9160
      @mathpi-rates9160 3 роки тому +1

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

  • @haldersubrata
    @haldersubrata 8 місяців тому +51

    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

    • @JohnDoe-hl2qm
      @JohnDoe-hl2qm 6 місяців тому +3

      Thankyou sir for this insights

  • @SumanAniketSurabhiAditivyas
    @SumanAniketSurabhiAditivyas 4 роки тому +113

    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 роки тому +6

      70's ? ,🤭😂

    • @Dexter4o4
      @Dexter4o4 Рік тому +10

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

    • @rithm3470
      @rithm3470 Рік тому +2

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

    • @Dexter4o4
      @Dexter4o4 Рік тому +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 Рік тому +3

      @@Dexter4o4 yeah , for sure

  • @akanksha5782
    @akanksha5782 3 роки тому +77

    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 роки тому

      Mai to 1.5 or krke padh rhi thi 😅

    • @AK-vb9ks
      @AK-vb9ks 2 роки тому

      Mai 1.75 pe
      12 th ka exm ane wala hay

    • @meprateek
      @meprateek Рік тому +3

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

    • @bajrangimandalacademy4460
      @bajrangimandalacademy4460 Рік тому

      Bahut achha sir ji

    • @shivagupta9420
      @shivagupta9420 11 місяців тому

      Same thought comes in my mind 😂😂

  • @ayushghosh1372
    @ayushghosh1372 3 роки тому +545

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

    • @varunteja1172
      @varunteja1172 3 роки тому +50

      You can reduce playback speed

    • @naveenchintha8531
      @naveenchintha8531 3 роки тому +27

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

    • @rahi3130
      @rahi3130 3 роки тому +5

      @Sunil Kumar bawle insan ho blkl

    • @XavierXe
      @XavierXe 3 роки тому +56

      Mai to 1.5x par dekhta hoon 😎

    • @pritibag6805
      @pritibag6805 3 роки тому +4

      You can just reduce the playback speed bro

  • @shreyanshsharma8909
    @shreyanshsharma8909 4 роки тому +15

    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

  • @SUDHANSHUKUMAR-db9nn
    @SUDHANSHUKUMAR-db9nn 2 роки тому +5

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

  • @PrinceTaneja2
    @PrinceTaneja2 5 років тому +97

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

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +16

      Hello Prince Taneja
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    • @suryansh4722
      @suryansh4722 3 роки тому +5

      😂😂😂

    • @omop5922
      @omop5922 2 роки тому +13

      @@suryansh4722 this shit better pe heart milgaya 😂😂

  • @parthasarathy944
    @parthasarathy944 3 роки тому +23

    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.

  • @alenvb6996
    @alenvb6996 3 роки тому +14

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

  • @niranjanasmavelil365
    @niranjanasmavelil365 4 роки тому +18

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

  • @vishnudsmiler...2316
    @vishnudsmiler...2316 3 роки тому +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

  • @shivamgoswami3628
    @shivamgoswami3628 4 роки тому +47

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

  • @nothing8752
    @nothing8752 4 роки тому +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 4 роки тому +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 Рік тому +1

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

    • @Hustlermishra
      @Hustlermishra 8 місяців тому

      What are u doing right now brother?

  • @banhishikhamondal5986
    @banhishikhamondal5986 4 роки тому +32

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

  • @VISHALJANGID8378
    @VISHALJANGID8378 9 днів тому

    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......❤

  • @vaibhavjoshi6853
    @vaibhavjoshi6853 5 років тому +8

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

  • @AbhishekSingh-xg3zj
    @AbhishekSingh-xg3zj 2 місяці тому +1

    Amazing explanation Sir. Thank you so much.

  • @viveksinghchauhan1930
    @viveksinghchauhan1930 4 роки тому +9

    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😘

  • @solihashowkat3057
    @solihashowkat3057 Рік тому +2

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

  • @surykantchaudhary5778
    @surykantchaudhary5778 2 роки тому +1

    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

  • @bhavikjain3359
    @bhavikjain3359 3 роки тому +7

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

  • @parthivchudasama6482
    @parthivchudasama6482 8 місяців тому +12

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

  • @dishanamdev2620
    @dishanamdev2620 3 роки тому +2

    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 роки тому +5

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

  • @amiyancandol4499
    @amiyancandol4499 3 роки тому +4

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

  • @harshsahu6350
    @harshsahu6350 2 роки тому +1

    Excellent explanation sir

  • @mycareerportal3614
    @mycareerportal3614 2 роки тому +1

    great explaination sir , best teacher in higher mathematics

  • @phani.05
    @phani.05 Рік тому +2

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

  • @BrutalGamer05
    @BrutalGamer05 Рік тому +2

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

  • @thakurprashantparmar5152
    @thakurprashantparmar5152 Рік тому +2

    Very healthful video for me 😊
    Thank you sir ❤

  • @dikshabagade5542
    @dikshabagade5542 4 роки тому +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

  • @mohammedfuzailfz
    @mohammedfuzailfz 2 роки тому +3

    Sir your explanation is on another level🔥🔥🔥

  • @sevendrasingh3
    @sevendrasingh3 4 роки тому +1

    You are the great sir

  • @aadityaiyengar7941
    @aadityaiyengar7941 5 років тому +3

    Sir ji, koti koti pranaam. 🙏🏻❤️

  • @uditpanjiyar3203
    @uditpanjiyar3203 Рік тому +1

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

  • @alviabbas9477
    @alviabbas9477 3 роки тому +1

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

  • @MinakshiBiradar-m7s
    @MinakshiBiradar-m7s Рік тому +1

    Helpful 😊

  • @prabhakardubey6433
    @prabhakardubey6433 Рік тому +1

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

  • @bhaskarbhuyan727
    @bhaskarbhuyan727 4 роки тому +1

    Well done sir it's very easy to understand

  • @santeshwartiwari9725
    @santeshwartiwari9725 4 роки тому +2

    Thank you sir ,you are amazing teacher

  • @jayeshpatil5112
    @jayeshpatil5112 Рік тому +2

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

  • @animationcrust1993
    @animationcrust1993 4 роки тому +2

    Thank you for giving the knowledge for free 😊

  • @prashantpatchi
    @prashantpatchi 4 роки тому +3

    Your way explaining stuff is really great thanks!

  • @rohtashbhall2671
    @rohtashbhall2671 4 роки тому +1

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

  • @shreeramparija7731
    @shreeramparija7731 4 роки тому +1

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

  • @anshusingh8086
    @anshusingh8086 Рік тому +2

    what happened to (n-1)! at 11:55 ?

  • @CHChandanMansani
    @CHChandanMansani 3 роки тому +1

    Thank you sir for explaining so nicely

  • @Sociallyunawre
    @Sociallyunawre 4 роки тому +2

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

  • @RehmanMansab-g1k
    @RehmanMansab-g1k 4 місяці тому

    Great sir. Thank you so much!

  • @snoringaddict
    @snoringaddict 7 місяців тому +9

    Kl Mera exam hai , bhagwan ji bcha lena 🥺🥺

  • @adamyavatsalya5947
    @adamyavatsalya5947 Рік тому +2

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

  • @krishkumariitbhu
    @krishkumariitbhu 2 роки тому +6

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

    • @braineaterzombie3981
      @braineaterzombie3981 2 роки тому +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 Рік тому +3

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

    • @aditya3984
      @aditya3984 Рік тому +1

      12th ka too padh le pehle

    • @krishkumariitbhu
      @krishkumariitbhu Рік тому

      @@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 Рік тому +1

      @@krishkumariitbhu 12th ka padhle pehle randi

  • @akhileshtiwari9218
    @akhileshtiwari9218 Рік тому +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?

  • @kartikagarwal8790
    @kartikagarwal8790 11 місяців тому

    Best video of binomial probability function

  • @statisticianatpumhs3021
    @statisticianatpumhs3021 4 роки тому +1

    you are such a great teacher.

  • @pujakumari-oj4gb
    @pujakumari-oj4gb 3 роки тому

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

  • @jawadbaba9153
    @jawadbaba9153 9 місяців тому

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

  • @SauravMathur
    @SauravMathur Рік тому +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 😊

  • @nitinrungta3320
    @nitinrungta3320 4 роки тому +1

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

  • @golubhattuk01
    @golubhattuk01 8 місяців тому +1

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

  • @saibharathavadutha7365
    @saibharathavadutha7365 5 років тому +4

    Thank you so much for your lectures sir.

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +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
      ua-cam.com/play/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI.html
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      Topic:- Matrics and Linear Algebra
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      Topic:-Fourier Series
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      Topic:- Higher Order Differential Equation
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      Topic:- Vector Calculus
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      Topic:- Laplace Transform
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      Topic:-Asymptote
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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Tracing Of Polar Curves
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      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
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      Topic:-Partial Differentiation
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      Topic:-Maxima and Minima of Two Variable
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      Topic:-Numerical Analysis
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      Topic:-Differential Calculus
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      Topic:-Integral Calculus
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      Topic:-Integral Transform
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      Topic:-Curve Fitting
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      Topic:-Radius of Curvature
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      Topic:-Jacobian
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      Topic:-Envelop & Evolutes
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      Topic: Infinite Series
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      Topic:-IIT-JAM Mathematics
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      Topic:-GATE (Engineering Mathematics)
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      Topic:-Operation Research
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      Topic :- Series Solution
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      Topic :- First Order & Higher Degree Differential Equation
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      Topic :- Simultaneous Differential Equation
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      Topic:- Statistics & Probability
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      Topic:-B.Sc. Mathematics
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      Topic:-IAS Optional Mathematics
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      Topic:-Engineering Mathematics
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      Topic: Important Question of Mathematics for Class 12th

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      Topic:- Important Question of Mathematics for Class 10th
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      Topic :- Solution of Paper of Maths CBSE Exam 2019 Class 12th
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      Topic :- Solution of Paper of Maths & Science CBSE Exam 2019 Class 10th
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @debasishkarmokar6323
    @debasishkarmokar6323 2 роки тому

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

  • @baalsudarshan1451
    @baalsudarshan1451 7 місяців тому

    Bs aapke bharose sir 🙏 🙏 ..thank u sir

  • @vikaskumarsonkar185
    @vikaskumarsonkar185 3 роки тому

    this is very nice of teaching approach

  • @tapatichakraborty1953
    @tapatichakraborty1953 4 роки тому

    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

  • @theviralreels96
    @theviralreels96 6 місяців тому

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

  • @nitupran1243
    @nitupran1243 4 роки тому

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

  • @devanshityagi8231
    @devanshityagi8231 4 роки тому

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

  • @Jawad_Ali876
    @Jawad_Ali876 2 роки тому +1

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

  • @adityaaanand8001
    @adityaaanand8001 5 років тому

    One of the best set of videos on the topic

  • @sonamrangdol3546
    @sonamrangdol3546 2 роки тому +4

    sir if you could do about binomial theoram and binomial expansion, it would be great for students who are pursuing discrete mathematics as their major.
    thankfully,
    a student from bhutan

  • @babansahani9286
    @babansahani9286 5 років тому

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

  • @navadeepiitbhilai9470
    @navadeepiitbhilai9470 Рік тому +1

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

  • @eusha54
    @eusha54 4 місяці тому

    Gp sir is great🥳

  • @parshuram3272
    @parshuram3272 Рік тому

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

  • @gorgetothreeone314
    @gorgetothreeone314 3 роки тому

    Sir,you are the best for engineering mathematics .Please go on making videos on it

  • @shumilaramzan4371
    @shumilaramzan4371 4 роки тому +2

    nicely explained Sir.. if we have any question from probability can you solve it ?

  • @himanshh10
    @himanshh10 10 місяців тому +1

    Sir thoda speed dheere rkho please, agar playback speed slow krte h to clearly sunai nhi deta
    Or sir thoda slow speed se pdhaya kro please
    Otherwise everything is fine 😊

  • @ghanishthaswaroop7673
    @ghanishthaswaroop7673 3 роки тому

    thank you thank you so much sir....

  • @pranshukrishan9134
    @pranshukrishan9134 5 років тому +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😁😅

  • @Jahnavi-d7z
    @Jahnavi-d7z 8 місяців тому

    Amazing Teaching!!!!!

  • @joydas3040
    @joydas3040 3 місяці тому

    Thanks a lot sir ❤️.

  • @champyawalkar1994
    @champyawalkar1994 5 років тому +2

    Sir Please add lectures on De-Moivre’s theorem for Engineering Mathematics

  • @sobianazir4177
    @sobianazir4177 10 місяців тому

    very sharp !!!

  • @gauravkumarkamalbtech829
    @gauravkumarkamalbtech829 10 місяців тому +1

    nice

  • @akash3.141
    @akash3.141 4 роки тому +1

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

  • @ashmitnaik5690
    @ashmitnaik5690 6 місяців тому +1

    12:03 where did (x-1)! go from the above eq. ?

  • @hitachi6755
    @hitachi6755 Рік тому +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.

  • @kingrarestar
    @kingrarestar 8 місяців тому

    Super video 🎉

  • @mdshahbaz3867
    @mdshahbaz3867 4 роки тому

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

  • @Allen-pj7nw
    @Allen-pj7nw 7 місяців тому +1

    Please post videos in billingual with english it will be more helpful!

  • @mihrji2547
    @mihrji2547 3 роки тому

    North south east West
    Our GP Sir is best
    😊

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

    Very nice sir 🙏 🙏

  • @ShivamKumar-tg3vp
    @ShivamKumar-tg3vp 5 років тому +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 років тому +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 років тому

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

    • @mrak8948
      @mrak8948 4 роки тому

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

    • @tusharsharma7513
      @tusharsharma7513 2 роки тому

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

    • @ndbweurt34485
      @ndbweurt34485 9 місяців тому

      @@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

  • @vkcde8354
    @vkcde8354 2 роки тому

    very helpful
    concept clear

  • @Living_for_Him_Alone
    @Living_for_Him_Alone Рік тому

    Thank you 💖 so much Sir

  • @Maths4u69
    @Maths4u69 2 місяці тому

    Great sir

  • @vijayyaduvanshi276
    @vijayyaduvanshi276 3 роки тому

    Good explanation