Random Variable, Probability Density Function, Cumulative Distribution Function

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  • Опубліковано 9 лют 2025

КОМЕНТАРІ • 578

  • @gajendrapurohit
    @gajendrapurohit  5 років тому +89

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @sauvikroy8885
      @sauvikroy8885 4 роки тому

      Sir plz start any topic with basic lavel and said all topic significant and real life example?? so we will understand easyly.Plz relate physics with real life . Sir plz don't underestimate my opinion.

    • @siddheshdhanawade3709
      @siddheshdhanawade3709 2 роки тому

      Sir ji fumble karte ho aap thoda other than that u are tooo gooood

    • @anilkumarsharma8901
      @anilkumarsharma8901 2 роки тому

      Sarey formula milkar koi ek super formula hain Kya jo sure bata dein???

    • @anilkumarsharma8901
      @anilkumarsharma8901 2 роки тому

      Shares market main Kya probability for sure formula hain????

    • @letslaughsarfarajali5191
      @letslaughsarfarajali5191 Рік тому

      If 75% of all purchases at a certain store is made with a credit card and X is the number among the ten randomly selected purchases made with credit card. Then find P(μ- 2σ< x < µ +2σ) where is µ the mean and σ is the standard deviation of the distribution
      Hello please ye question explain krdi jiya

  • @NitinKumar-wt2le
    @NitinKumar-wt2le 3 роки тому +112

    In our country where everyone doesn't have enough resources to get paid tuitions, you are really doing a brilliant job to serve the society. Especially in this covid time, such online content is very important.
    Please keep it up and we all wish that one day you will have highest number of subscribers.....

  • @mishraabhyuday
    @mishraabhyuday 4 роки тому +230

    Thank you for explaining so nicely.I also wanted to say that around 20:40 ,P(x>=1.5) !=F(1.5).Actually it should be 1-F(1.5).(CORRECTION)

    • @harshit7256
      @harshit7256 4 роки тому +1

      Thank u bhai💛💛

    • @aniketraj4823
      @aniketraj4823 4 роки тому +5

      Yeah thnx someone said it

    • @AKytub
      @AKytub 3 роки тому +3

      Bro, Can u explain to me why and what is the next step.

    • @rakeshranjanprabhat9218
      @rakeshranjanprabhat9218 3 роки тому

      Can u please elaborate??

    • @SS-Saha
      @SS-Saha 3 роки тому +13

      @@rakeshranjanprabhat9218 P(x>=1.5)=1-P(x

  • @suyash.01
    @suyash.01 5 років тому +169

    Sir your videos are the only place I understand stuff at once. Nearly every student in my hostel is studying maths from your videos. The math profs at our college aren't bad but they just don't teach as good as you do.
    Big thanks for uploading this material free of cost on youtube!
    Never stop the great work!
    A huge THANK YOU from my side!
    DESERVES MILLIONS OF VIEWS

  • @AyushiRaj-n8s
    @AyushiRaj-n8s Рік тому +9

    very knowledgeable person ! respect from my side

  • @mdamirhussain2095
    @mdamirhussain2095 2 роки тому +8

    In my college , even teachers are not able to clearify our concepts, Thank you , G.P. sir ...

  • @priyam_786
    @priyam_786 2 роки тому +16

    Sir, at 20:29 direct putting the value of x(let 1.5) in commulative distribution function will give the the value of P(x=1.5) and Thank you so much for this nice content.

    • @rohanrupam907
      @rohanrupam907 Рік тому +2

      I guess it should have been 1-P(x

    • @sweetgrma
      @sweetgrma Рік тому +1

      Correct

    • @mohitverma0007
      @mohitverma0007 Рік тому +2

      thanks i got confused here , bcz i try to calculate the value as sir said but i am not getting 0.125 as answer.

    • @diptisingh4921
      @diptisingh4921 8 місяців тому

      Exactly

  • @ranmadhav
    @ranmadhav 2 роки тому +14

    thanks sir for explaining so well ..
    but attention everyone .. i think at 20:40 there i think sir missed a point that P(x>=1.5) will be equal to {1-P(x

    • @jaysoni4180
      @jaysoni4180 2 роки тому

      nope !!!!
      i calculated it and , integration from 1.5 to 2 = 0.125.

    • @manzoorahmed7145
      @manzoorahmed7145 3 місяці тому

      YYour are right mate it is indeed {1-P(x

  • @Suryakumar1231
    @Suryakumar1231 Рік тому +5

    Your lecture very helpful for exam thanks sir .❤❤❤

  • @Hollybollyhindi.54
    @Hollybollyhindi.54 Рік тому +20

    00:11 Dr. Gajendra Purohit explains continuous random variable and its PDF and CDF
    02:39 The video discusses solving mean and variance of discrete and random variables.
    05:41 Technique to solve questions involving time intervals
    08:29 A list of numerical values with increasing order.
    11:14 Cumulative distribution system explained with examples
    13:48 A list of timestamp ranges is given.
    16:20 A list of numerical values
    18:59 A tutorial on solving a question using mathematical expectation and moments.

  • @LALITKUMAR-bn5po
    @LALITKUMAR-bn5po 3 роки тому +6

    Helped me to clear my concepts and doubts. Thank You

  • @dharanyalavanya497
    @dharanyalavanya497 4 роки тому +29

    Sir, at 20:40 for calculating P(X>=1.5), which is 1 - P(X

    • @amangameti8599
      @amangameti8599 4 роки тому

      👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻

    • @axsxdx26
      @axsxdx26 2 роки тому +1

      Yhi hota h jab teachers ko khud ko kuch ata na ho or book se dekh dekh k bol rhe ho

    • @axsxdx26
      @axsxdx26 2 роки тому

      @Daredevil no

    • @LapCreativeStudio
      @LapCreativeStudio 2 роки тому

      bhai ye x>2 keliye 20:40 mein integration kerne per value 1 nhi aarhi plz help

    • @Shivam_kgp1
      @Shivam_kgp1 2 роки тому +1

      @Raj Goswami at 8:38 sir calculated the p(x< = 1.5 ) which is written in the definition Cdf = p(X=1.5) so we can find through this method like p(x>=1.5) = 1 -p(x

  • @MohammadShoaibAkhtar-fz1cx
    @MohammadShoaibAkhtar-fz1cx Рік тому +4

    So helpful

  • @praptibishen3169
    @praptibishen3169 4 роки тому +11

    you are explaining perfectly sir!!!!keep helping us and stay safe!!!!!!

  • @532_halaharvisamhitha6
    @532_halaharvisamhitha6 Рік тому +2

    This video helped me a lot sir.Thank you so much

  • @sshortswiki
    @sshortswiki 4 роки тому +7

    Thank you so much Sir...
    Now I'm completely learned...
    Love from kpk Malakand 🇵🇰

  • @sushantpachipulusu5540
    @sushantpachipulusu5540 5 років тому +11

    You reminded me of my favourite math lecturer sir. Thank you!! 🙏

  • @SwapnilPaul-n6l
    @SwapnilPaul-n6l Рік тому +5

    Happy Teacher's day sir, will always be pleased to you for the last minute help.🎉🎉🎉❤❤

  • @neelanshsharma275
    @neelanshsharma275 Рік тому +8

    Thank you sir for your contributions, I will be grateful forever 🙏. You are helping me shape my future and I can't thank you enough.

  • @abdulkabeer7674
    @abdulkabeer7674 2 роки тому +2

    Probably the best video so far on random variables . THANKS SIR

  • @minatolive12
    @minatolive12 Рік тому +11

    Sir I have question
    18:19 time for ( x >2 ) we have take from -infinite to +infinite or 2 to +infinite
    Cause (x

    • @wolfy_pride
      @wolfy_pride 11 місяців тому +1

      it should be 2 to infinity. It will become zero

  • @RahulKumar-vg1tk
    @RahulKumar-vg1tk 5 років тому +2

    Nice lecture sir!... Aapka padhane ka speed bhi sahi hai, mei jo bhi lecture dekhta hu usko 1.5 ya 1.75 speed pr hi dekhta hu...aapke lecture speed badhane ka jarurt bhi nhi padha....

  • @satyajeetkumar9793
    @satyajeetkumar9793 4 роки тому +5

    Sir Your teaching methodology is too good

  • @timberiyaaa6968
    @timberiyaaa6968 4 роки тому +490

    kaash ye video do saal pehle upload huyi hoti, mere ek backlog km hote😂😂

    • @mrwhoistheboss
      @mrwhoistheboss 3 роки тому +13

      Bhai 2 year ago hi hai yeh

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      @aadarshainfo3535 3 роки тому +9

      @Indian viewer nahi bhai, woh toh 9 months pehele comment kiya hai

    • @PunitBabaKaBabu
      @PunitBabaKaBabu 3 роки тому +9

      Bhai is baar meri hai backlog ki exam 6 taarikh se 😂😂😂

    • @Ashu_143_
      @Ashu_143_ 3 роки тому +10

      Mere toh ekdm time pe uploaded h firbi padhne ka mann na karne ki wajah se nhi ho pa rha h😭😭😭

    • @govindgoel871
      @govindgoel871 2 роки тому +6

      Bhai jaypee se hai kya??😢😢

  • @rohanpal6229
    @rohanpal6229 4 роки тому +3

    You're best teacher I've ever come across

  • @utkarshgarg1755
    @utkarshgarg1755 4 роки тому +20

    Sir your way of teaching is 🔥🔥 .

  • @CHAMPIONSBio
    @CHAMPIONSBio 2 роки тому +9

    Sir , your explanation is good. Could you pls increase the amount of ques..
    Atleast 2-3 different type ques.

  • @meRJ0502
    @meRJ0502 Рік тому +1

    Sir all yours video are too good and you explain it very nicely 😊 but in this topic i am confuse 😢

  • @devashishupadhyay6466
    @devashishupadhyay6466 4 роки тому +2

    Very Helpful for Data Science also...👍

  • @alteredcarbon7374
    @alteredcarbon7374 2 роки тому +5

    Thank you for explaining such nicely. Your videos are really helpful for understanding a concept .

  • @nishantkumar394
    @nishantkumar394 5 років тому +8

    First calculate for x

  • @RakeshSingh-tp2gc
    @RakeshSingh-tp2gc 3 роки тому +4

    Sir I understand everything you taught ❤️❤️❤️

  • @khushantwankhede8311
    @khushantwankhede8311 4 місяці тому

    what an explanation sir !!!!!!!!!! wow

  • @chiragagarwal7949
    @chiragagarwal7949 5 років тому +2

    Hats off to you sir ji. Very well explained even better than my college🖒🖒

  • @Living_for_Him_Alone
    @Living_for_Him_Alone 2 роки тому +19

    Sir you have played a huge role in my selection in IISER BHOPAL through JAM .
    Thank you ❤️ so much from deep of my 💖💓 heart.

  • @yashrajpatell3247
    @yashrajpatell3247 5 років тому +2

    Thank u sir best sir for maths...🙏

  • @JaysinhChauhan-fz5dn
    @JaysinhChauhan-fz5dn 8 місяців тому +1

    Sir your explanation is really Awesome but your hand writing are total Opposite to your explanation. Some time it'd really give hard time to understand what you write.
    Thank you so much for this wonderful explanation . It helps me to prepare for my examination.

  • @karankumar7588
    @karankumar7588 Рік тому

    Sir you're best teacher

  • @PrabhakarKumar-si1ii
    @PrabhakarKumar-si1ii 2 роки тому +4

    It's really very good and well defined content.
    Respect you sir and you're really doing good for us. Its a hope for us those topics which is really very tough to understand is now easy and interesting for me.
    Thankyou thanks a lot sir please keep doing 😊😊😊😊😊😊

  • @TheDevil01-ln4kf
    @TheDevil01-ln4kf 6 місяців тому +4

    9:46 sir f(x) to interval -3

  • @anchal4903
    @anchal4903 2 роки тому

    Thank you sir your video is very helpful for me.

  • @FarhanKhan-z6o
    @FarhanKhan-z6o 11 місяців тому

    Great sir! i am watching from pakistan

  •  4 роки тому

    genius, superb, fantastic....

  • @shanmukha599
    @shanmukha599 Рік тому

    It is really helpful for GATE DS paper

  • @amitkaswan7935
    @amitkaswan7935 Рік тому

    love your videos sir🥰🥰🥰🥰

  • @14dayztimeap8
    @14dayztimeap8 Рік тому +1

    Great.

  • @aryakrishnab8361
    @aryakrishnab8361 4 роки тому +3

    Thank you Sir. Your classes are very interesting. 😊🙏🙏🙏

  • @anujvishwakarma352
    @anujvishwakarma352 Рік тому

    Excellent sir 💯
    Thanks❤❤

  • @14dayztimeap8
    @14dayztimeap8 Рік тому +1

    Great!

  • @Iamps78
    @Iamps78 4 роки тому +2

    Great moment with you sir

  • @srinivasaraoummaneni3273
    @srinivasaraoummaneni3273 3 роки тому

    This video helped a lot...

  • @ginny-mx3ys
    @ginny-mx3ys 2 роки тому

    Your voice is very pleasing

  • @gouravsolanki2136
    @gouravsolanki2136 2 роки тому

    college m samaj nhi aaya tha , yahan aa gya , thanks !!!!

  • @attaullahjamro7982
    @attaullahjamro7982 4 роки тому +1

    Thankyou sir aap ki waja se mera probability ka paper bach gaya

  • @tusharlaskar6135
    @tusharlaskar6135 Рік тому

    thanks for the knowledge sir....😇

  • @devyanshbhati3337
    @devyanshbhati3337 3 роки тому

    Superb explanation Sir Maza aa gaya

  • @anjaliverma7633
    @anjaliverma7633 3 роки тому +1

    Kash thora Visible or achhe se hota joh board p likha hai!!
    Grt explanation sir !
    Thank you so much!

  • @GA13059
    @GA13059 Рік тому

    Sir you are such a gem 💎

  • @visheshmittal4867
    @visheshmittal4867 4 роки тому +5

    Thanks a lot, Sir. The content is really Amazing.

  • @abhinandanjain2399
    @abhinandanjain2399 Рік тому

    Thank you so much sir for this video

  • @ajjubhai-ds1qp
    @ajjubhai-ds1qp 3 роки тому

    Thanks sir I expect I will pass my exam

  • @vishwajiththippeswamy5714
    @vishwajiththippeswamy5714 4 роки тому +2

    Thank you very much. This series of videos were very helpful :)

  • @shshanksingh5115
    @shshanksingh5115 5 років тому +1

    Very simple,detailed and easy to learn explanation thank you so much sir

  • @priyankarath3283
    @priyankarath3283 5 років тому +11

    Thank you soo muchhhh sir...🙏🙏🙏....
    Sir plz make a vedio about "function of Random Variables"plz plz plz

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +5

      Hello Priyanka Rath
      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
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
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  • @nirajgupta6917
    @nirajgupta6917 4 роки тому +1

    Sir 💖Your style of explanation is Awesome 👏👏👏

  • @sameerkumar2800
    @sameerkumar2800 4 роки тому +1

    such a nice lecture well describe highly efficient...

  • @AMITKUMAR-pf2zn
    @AMITKUMAR-pf2zn 3 роки тому

    Sir your teaching good

  • @anikmukherjee2003
    @anikmukherjee2003 Рік тому

    clear cut concept delivering...No bakwas

  • @RohitSharma-td4vi
    @RohitSharma-td4vi Рік тому +1

    wah sir kya udaya hai,.........

  • @SajidHussainBscsfmo
    @SajidHussainBscsfmo 3 роки тому +1

    Thanks sir.
    Appreciate your efforts 👏

  • @smitpatel6620
    @smitpatel6620 5 років тому +6

    SIR ,YOU ARE DOING VERY MUCH EFFORT FOR US AND YOUR VIDEO'S ARE VERY HELPFUL FOR US BUT SOME TIME SIR YOU HAVE TO MAKE 2 PART OF THE ANY TOPIC WHICH IS LIKE THIS SO THAT YOU CAN EXPLAIN IT VERY EASY AND SUFFICIENTLY.

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

      Hello Patel Smit
      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
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
      Keep Watching OUR latest video.
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      Dr.Gajendra Purohit

  • @AK-lg1sj
    @AK-lg1sj Рік тому

    ❤Amazing

  • @ginny-mx3ys
    @ginny-mx3ys 2 роки тому

    Sir you are gr8 actually

  • @sudhanshukumar255
    @sudhanshukumar255 5 років тому

    Sir god aapko bhot success de 🤲
    Aap bhot accha se concept clear krte hai

  • @monalisasharma3616
    @monalisasharma3616 Рік тому

    THANK YOU SIR ! LOTS OF LOVE TO YOU

  • @030_tajamulhassan2
    @030_tajamulhassan2 7 місяців тому

    00:12 Introduction to continuous random variable and probability distribution function.
    02:19 Solving mean and variance of discrete random variables
    05:13 Understanding Random Variables and Distribution Functions
    08:15 Solving questions using random variable and probability distributions
    11:06 Understanding cumulative distribution function
    13:48 Random variable represents outcomes of a random phenomenon
    16:43 Random variables and probability functions
    19:14 Solving questions using probability concepts

  • @RituJaat-nt5hr
    @RituJaat-nt5hr 10 місяців тому +31

    Sir please thoda slow padaya kro aap hume pada rahe h na ki khud pad rahe h

    • @Calm_unbothered_af
      @Calm_unbothered_af 4 місяці тому +2

      Toh kahi aur se padhlo. Be respectful to sir. He is legit giving GOLD content for FREE.

    • @chandradeepgupta6666
      @chandradeepgupta6666 2 місяці тому

      @@RituJaat-nt5hr ap apna video speed Kam kr lo......sir to thik he speed mein padha rhe h

  • @pankajkorkalai9049
    @pankajkorkalai9049 5 місяців тому

    Love you sir ❤

  • @kalyanidurgam4670
    @kalyanidurgam4670 4 роки тому

    Very good explanation sir.....
    Continue like these videos.....sir

  • @letslaughsarfarajali5191
    @letslaughsarfarajali5191 Рік тому +1

    If 75% of all purchases at a certain store is made with a credit card and X is the number among the ten randomly selected purchases made with credit card. Then find P(μ- 2σ< x < µ +2σ) where is µ the mean and σ is the standard deviation of the distribution

  • @VARUN-gn5kq
    @VARUN-gn5kq 4 роки тому +3

    Sir one suggeetion - after solving whole question pl provide full view of green board so that we can take screen shot of whole answer

  • @deathcureyt344
    @deathcureyt344 2 роки тому +7

    Sir at 8:44, how have you taken the value 2k outside the integration parentheses, I'm confused

    • @LapCreativeStudio
      @LapCreativeStudio 2 роки тому +1

      because of even and odd integration of function

    • @ammarkhan4985
      @ammarkhan4985 2 роки тому

      @@LapCreativeStudio how?

    • @deathcureyt344
      @deathcureyt344 2 роки тому

      @@LapCreativeStudio can you explain?

    • @Anuragmishra208
      @Anuragmishra208 Рік тому +7

      ​@@deathcureyt344if a function is given means f(x)=f(-x) then the limit of f(x) from -a to a is same as 2f(x) limit from 0 to a .even functions r symmetrical about y axis so calculating area form -3to 3 is same as 2 time from 0 to 3 .I hope it helps

    • @academicpurpose-e9y
      @academicpurpose-e9y 3 місяці тому +1

      @@Anuragmishra208 tnx so much

  • @ashwinjaiswal4893
    @ashwinjaiswal4893 2 роки тому +1

    GP Rocks!!!!!!!

  • @physicsvibes6199
    @physicsvibes6199 5 років тому +3

    Thank you so much sir
    It really helped to get the concepts celarly.

    • @kirtidipan7394
      @kirtidipan7394 3 роки тому

      Yeah that celarly* seen from your comment. 😂

  • @TAUSHIKRAJCHETRIBCT
    @TAUSHIKRAJCHETRIBCT 3 роки тому

    Thanks a lot sir....U are the greatest teacher

  • @anonymoussaitama725
    @anonymoussaitama725 3 роки тому

    Bhai Guruji Mauuj Kardi

  • @prachiiiiichouhannn
    @prachiiiiichouhannn 3 роки тому

    thank you sir really helpful

  • @sahelisohanitwins7492
    @sahelisohanitwins7492 8 місяців тому +1

    20:03 ...Before it was correct Sir when we are writting distribution function then we can't write in separate interval ...

  • @dwarfcoder
    @dwarfcoder 4 роки тому

    Sir U are amazing bus ek prob hai handwritting ki. And everything is just perfect and amazing.... Thank u.

  • @jaypatel8645
    @jaypatel8645 3 роки тому +8

    After two sessions my right ear got justice 😂😂

  • @Srishtiiiiiiiiiii
    @Srishtiiiiiiiiiii 2 роки тому

    Great thanks

  • @sahanawajkarim3454
    @sahanawajkarim3454 2 роки тому

    awesome content

  • @nishantdon1843
    @nishantdon1843 3 роки тому +8

    18:34
    Isme to x>2 lena h na
    To limits sirf 2 se infinite nhi lenge? 🤔

    • @raptor4133
      @raptor4133 2 роки тому

      it will be x < 2, he did a mistake ig

  • @bishwanathdutta7767
    @bishwanathdutta7767 3 роки тому

    Thank you.

  • @MDNayem-qc3bu
    @MDNayem-qc3bu 5 років тому +1

    Sir, thank you very much,.

  • @prathameshdavari195
    @prathameshdavari195 3 роки тому

    thanku

  • @ateequrrehman1840
    @ateequrrehman1840 3 роки тому

    لاجواب سر جی

  • @randeepsaini5491
    @randeepsaini5491 3 роки тому

    nice lectures

  • @sudarshanbandyopadhyay9052
    @sudarshanbandyopadhyay9052 4 роки тому +5

    Sir at 20:20 you have calculated P( X>= 1.5), but the calculation you have done it is for P( X

    • @kaviji8762
      @kaviji8762 4 роки тому +2

      Yes issko aap explain kr dejiye ,mujhe bhi nhi smjh aaya hai

    • @immensives147
      @immensives147 4 роки тому +2

      bro plz can u explain it for me

    • @SD_YT_2
      @SD_YT_2 4 роки тому +2

      For P(X>=1.5) =1- P(X

    • @RaushanKumar-du1rg
      @RaushanKumar-du1rg 3 роки тому

      @@SD_YT_2 Thanx

  • @leophysics
    @leophysics 5 років тому

    Sir you are great.