Random Variable, Probability Density Function, Cumulative Distribution Function

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  • Опубліковано 5 лип 2024
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    This video lecture of Random Variable, Probability Density Function, Cumulative Distribution Function | 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 Continuous Random Variable ?
    3. What is Probability Density Function & how to calculate PDF?
    4. What is Cumulative Distribution Function and How to find CDF ?
    5. How To find Probability density Function, cumulative Distribution Function ?
    #ProbabiltydensityFunction #RandomVariable #PDF&CDF
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    Time Stamp
    0:00 - An introduction
    1:20 - Definition of Continuous Random Variable
    1:59 - Example of Continuous Random Variable
    3:13 - Definition of Probability Density Function
    3:53 - Q1.
    8:17 - Q2.
    11:54 - Commulative Distribution Function
    13:02 - Q3.
    20:43 - Conclusion of video
    21:03 - Detailed about old videos
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КОМЕНТАРІ • 538

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +75

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    • @sauvikroy8885
      @sauvikroy8885 3 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 Рік тому

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

    • @anilkumarsharma8901
      @anilkumarsharma8901 Рік тому

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

    • @anilkumarsharma8901
      @anilkumarsharma8901 Рік 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

  • @mishraabhyuday
    @mishraabhyuday 3 роки тому +207

    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 3 роки тому +1

      Thank u bhai💛💛

    • @aniketraj4823
      @aniketraj4823 3 роки тому +4

      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 2 роки тому

      Can u please elaborate??

    • @SS-Saha
      @SS-Saha 2 роки тому +13

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

  • @NitinKumar-wt2le
    @NitinKumar-wt2le 2 роки тому +85

    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.....

  • @suyash.01
    @suyash.01 4 роки тому +144

    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

  • @RituJaat-nt5hr
    @RituJaat-nt5hr 3 місяці тому +15

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

  • @praptibishen3169
    @praptibishen3169 4 роки тому +11

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

  • @sushantpachipulusu5540
    @sushantpachipulusu5540 4 роки тому +9

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

  • @alteredcarbon7374
    @alteredcarbon7374 2 роки тому +5

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

  • @neelanshsharma275
    @neelanshsharma275 9 місяців тому +7

    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 Рік тому +2

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

  • @swetachaudhary9220
    @swetachaudhary9220 2 роки тому +7

    thank you so much sir for explaining on this level. we are greatful.

  • @priyanshu_yadav786
    @priyanshu_yadav786 Рік тому +14

    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 9 місяців тому +2

      I guess it should have been 1-P(x

    • @sweetgrma
      @sweetgrma 9 місяців тому +1

      Correct

    • @mohitverma0007
      @mohitverma0007 8 місяців 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 Місяць тому

      Exactly

  • @LALITKUMAR-bn5po
    @LALITKUMAR-bn5po 2 роки тому +4

    Helped me to clear my concepts and doubts. Thank You

  • @aryakrishnab8361
    @aryakrishnab8361 3 роки тому +3

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

  • @Hollybollyhindi.54
    @Hollybollyhindi.54 7 місяців тому +15

    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.

  • @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 😊😊😊😊😊😊

  • @visheshmittal4867
    @visheshmittal4867 3 роки тому +5

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

  • @timberiyaaa6968
    @timberiyaaa6968 3 роки тому +453

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

    • @mrwhoistheboss
      @mrwhoistheboss 3 роки тому +12

      Bhai 2 year ago hi hai yeh

    • @aadarshainfo3535
      @aadarshainfo3535 3 роки тому +9

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

    • @punitkhatri8119
      @punitkhatri8119 2 роки тому +7

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

    • @Ashu_143_
      @Ashu_143_ 2 роки тому +8

      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??😢😢

  • @dharanyalavanya497
    @dharanyalavanya497 3 роки тому +25

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

    • @amangameti8599
      @amangameti8599 3 роки тому

      👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻

    • @salimpradhan1065
      @salimpradhan1065 2 роки тому +1

      Thank you was confused. :-)

    • @axsxdx26
      @axsxdx26 2 роки тому +2

      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

  • @mdamirhussain2095
    @mdamirhussain2095 Рік тому +4

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

  • @vkgaming9519
    @vkgaming9519 9 місяців тому +6

    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 4 місяці тому

      it should be 2 to infinity. It will become zero

  • @ranmadhav
    @ranmadhav Рік тому +5

    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 Рік тому

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

  • @rohanpal6229
    @rohanpal6229 3 роки тому +3

    You're best teacher I've ever come across

  • @nirajgupta6917
    @nirajgupta6917 4 роки тому +1

    Sir 💖Your style of explanation is Awesome 👏👏👏

  • @user-hk7br5en4w
    @user-hk7br5en4w 5 місяців тому +6

    very knowledgeable person ! respect from my side

  • @walearners9065
    @walearners9065 3 роки тому +6

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

  • @JaysinhChauhan-fz5dn
    @JaysinhChauhan-fz5dn Місяць 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.

  • @JatinKumar-sb6ds
    @JatinKumar-sb6ds 2 роки тому +5

    sir in previous lecture you said distribution function is also called as density fxn, what is the difference between these two.

  • @devashishupadhyay6466
    @devashishupadhyay6466 3 роки тому +2

    Very Helpful for Data Science also...👍

  • @user-lo4hk9sl9b
    @user-lo4hk9sl9b 10 місяців тому +5

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

  • @RakeshSingh-tp2gc
    @RakeshSingh-tp2gc 2 роки тому +4

    Sir I understand everything you taught ❤️❤️❤️

  • @CHAMPIONSBio
    @CHAMPIONSBio 2 роки тому +8

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

  • @satyajeetkumar9793
    @satyajeetkumar9793 3 роки тому +4

    Sir Your teaching methodology is too good

  • @shshanksingh5115
    @shshanksingh5115 4 роки тому +1

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

  • @Living_for_Him_Alone
    @Living_for_Him_Alone Рік тому +18

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

  • @ganeshKiD
    @ganeshKiD 4 роки тому

    Sir really your series are awesome i am vert much confident about what i am learning

  • @utkarshgarg1755
    @utkarshgarg1755 3 роки тому +20

    Sir your way of teaching is 🔥🔥 .

  • @Suryakumar1231
    @Suryakumar1231 4 місяці тому +3

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

  • @sameerkumar2800
    @sameerkumar2800 3 роки тому +1

    such a nice lecture well describe highly efficient...

  • @raghuaratlakota2025
    @raghuaratlakota2025 4 роки тому +4

    Sir ... We want videos on ordered statistics and convergance of sequence of random variables... And Central limit theorem...

  • @SajidHussainBscsfmo
    @SajidHussainBscsfmo 3 роки тому +1

    Thanks sir.
    Appreciate your efforts 👏

  • @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
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  • @physicsvibes6199
    @physicsvibes6199 4 роки 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. 😂

  • @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 3 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

  • @vishwajiththippeswamy5714
    @vishwajiththippeswamy5714 3 роки тому +2

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

  • @sudhanshukumar255
    @sudhanshukumar255 4 роки тому

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

  • @TAUSHIKRAJCHETRIBCT
    @TAUSHIKRAJCHETRIBCT 3 роки тому

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

  • @chiragagarwal7949
    @chiragagarwal7949 4 роки тому +2

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

  • @theprostudy
    @theprostudy 3 роки тому +2

    Great moment with you sir

  • @nishantkumar394
    @nishantkumar394 4 роки тому +5

    First calculate for x

  • @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
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  • @meRJ0502
    @meRJ0502 5 місяців тому +2

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

  • @sahelisohanitwins7492
    @sahelisohanitwins7492 24 дні тому +1

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

  • @RahulKumar-vg1tk
    @RahulKumar-vg1tk 4 роки 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....

  • @srishatichaubey3955
    @srishatichaubey3955 4 роки тому

    Thank you so much sir to explain very easily to the topic

  • @532_halaharvisamhitha6
    @532_halaharvisamhitha6 Рік тому +2

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

  • @zainulabidinkulachi1949
    @zainulabidinkulachi1949 Рік тому +1

    Find the variance and standard deviation of the continues random variable x .f(x)=3/4(1+x^2)

  • @kalyanidurgam4670
    @kalyanidurgam4670 4 роки тому

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

  • @dwarfcoder
    @dwarfcoder 3 роки тому

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

  • @jaypatel8645
    @jaypatel8645 2 роки тому +7

    After two sessions my right ear got justice 😂😂

  • @kristiborah508
    @kristiborah508 Рік тому

    Sir you explain so good.
    The only prblm I'm facing is that the board isn't visible. Couldn't copy it ! Please look into the matter.

  • @shreyasvishwakarma8979
    @shreyasvishwakarma8979 3 роки тому +4

    At 16:58 , the limit will be from 1 to 2 , not 1 to x as x

  • @sonu91932
    @sonu91932 3 роки тому +1

    Your videos are very helpful. Can i get the pdf notes for the same.

  • @shanmukha599
    @shanmukha599 9 місяців тому

    It is really helpful for GATE DS paper

  • @anchal4903
    @anchal4903 Рік тому

    Thank you sir your video is very helpful for me.

  • @sabesans7186
    @sabesans7186 3 роки тому

    Clear, thank you

  • @saunaknandi1814
    @saunaknandi1814 4 роки тому +6

    in the first problem of pdf ,sir for(X>1) u take 1-2 range but in next example it become 1-infinity how . PLZ explain it if anyone can

  • @lakshyaagarwal4212
    @lakshyaagarwal4212 4 роки тому

    Sir am a student of ca foundation. Thankyou so much for upload lecture on UA-cam 👌👌👌👌👌👌👌👌

  • @hinarehman6231
    @hinarehman6231 4 роки тому

    JazakAllahu khair 👍

  • @Desh_Deepak_Chaudhary
    @Desh_Deepak_Chaudhary 3 роки тому

    Thank you so much sir 🔥🔥🔥🔥🔥

  • @pradyumnanaidu2653
    @pradyumnanaidu2653 3 роки тому +7

    can we get PPT's of this playlist sir...........
    if you have them please post them as soon possible.....
    been studying in this channel for more than 3 years and thnx for all the knowledge u r giving us

  • @anjalisrivastava1832
    @anjalisrivastava1832 4 роки тому

    Excellent efforts sir

  • @manishakukreja8716
    @manishakukreja8716 2 роки тому

    Sir, please upload videos of testing of hypothesis also 🙏🙏

  • @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!

  • @sohailasghar1624
    @sohailasghar1624 2 роки тому +1

    Good work sir .kindly make the video how we can find the median mode and quarterlies of continues random variable specialy when distribution function involved more then inequality

  • @kiranverma8918
    @kiranverma8918 4 роки тому +3

    Sir plz aap Boole's inequality ke topic par video bna do..there is no video regarding this topic..plz sir upload this video

  • @sudarshanbandyopadhyay9052
    @sudarshanbandyopadhyay9052 3 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 3 роки тому +2

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

    • @immensives147
      @immensives147 3 роки тому +2

      bro plz can u explain it for me

    • @SD_YT_2
      @SD_YT_2 3 роки тому +2

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

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

      @@SD_YT_2 Thanx

  • @arijitkar556
    @arijitkar556 3 роки тому

    Thank you sir 🙏❤

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

    Thanks sir I expect I will pass my exam

  • @tusharlaskar6135
    @tusharlaskar6135 Рік тому

    thanks for the knowledge sir....😇

  • @leophysics
    @leophysics 4 роки тому

    Sir you are great.

  • @anujvishwakarma352
    @anujvishwakarma352 8 місяців тому

    Excellent sir 💯
    Thanks❤❤

  • @anjan2164
    @anjan2164 6 місяців тому +3

    Sir's default speed is 1.5x

  • @aditihazra2263
    @aditihazra2263 3 роки тому +7

    Sir how to find a joint probability function???
    Edit : how should I take the ranges??

  • @abhinandanjain2399
    @abhinandanjain2399 5 місяців тому

    Thank you so much sir for this video

  • @AlstonDsouza-jl7ow
    @AlstonDsouza-jl7ow 4 роки тому

    Sir thank u for ur hard work for us

  • @shorder
    @shorder 3 роки тому +1

    sir if probability valu 0 to 1 both include......then why random variable x thats integration start from the negtive infinity sign

  • @anikmukherjee2003
    @anikmukherjee2003 Рік тому

    clear cut concept delivering...No bakwas

  • @devyanshbhati3337
    @devyanshbhati3337 2 роки тому

    Superb explanation Sir Maza aa gaya

  • @abhishekmane3144
    @abhishekmane3144 3 роки тому

    sir, please make videos on fuzzy mathematics

  • @yashrajpatell3247
    @yashrajpatell3247 4 роки тому +2

    Thank u sir best sir for maths...🙏

  • @surykantchaudhary5778
    @surykantchaudhary5778 2 роки тому

    ur explanation is very good but need more elaboration for better understanding. any thanks a lot bcz no other videos are available on u tube as like urs .

  • @sandansd
    @sandansd 4 роки тому

    Sir very thank you

  • @srinivasaraoummaneni3273
    @srinivasaraoummaneni3273 3 роки тому

    This video helped a lot...

  • @alanalexander2370
    @alanalexander2370 4 роки тому

    Sir plz add videos on optimization techniques and classical optimization techniques

  • @GA13059
    @GA13059 6 місяців тому

    Sir you are such a gem 💎

  • @sujay_giri
    @sujay_giri 3 роки тому

    Thank you sir!

  • @MohammadShoaibAkhtar-fz1cx
    @MohammadShoaibAkhtar-fz1cx 5 місяців тому +2

    So helpful

  • @UnitedIndia397
    @UnitedIndia397 3 роки тому

    THANK YOU VERYMUCH SIR