Mathematical Expectation, Variance Of Continuous & Discrete Random Variable

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel :- Maths By Gajendra Purohit Instagram Handle : instagram.com/dr._gajendra_purohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Website:- gajendrapurohit.com/ Keep Watching OUR latest video. Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link To CSIR NET Maths Playlist : bit.ly/2R8sUjV Following Topics are also Available 1.Differential Calculus: bit.ly/2OTYXB0 2. Integral Calculus: bit.ly/34rLA1R 3. Differential Equation:- bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis: bit.ly/2OP8hGp 6. Numerical Analysis: bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform): bit.ly/37HRKg9 8. Statistics & Probability: bit.ly/2DmOt7Z 9. Operation Research: bit.ly/2pYYRjp 10. Matrices (Linear Algebra): bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation: bit.ly/2XU9y33 14. Special Function & Series Solution: bit.ly/2XRSU4l 15. Infinite Series: bit.ly/37K6gUI Please share it with your Friends Thanks Dr.Gajendra Purohit

[@MayankKumar-bn4by]

Itna fast kyu padhate ho aap ki mistake ho jata hai

[@AnishDesai27]

@@MayankKumar-bn4by isse slow chahiye toh kindergarden jaa

[@raisanjeeb42]

It might help if someone got confused about about of Gamma :- For +ve number Gamma(x) = (x-1)! , where !=Factorial

[@tejasdhande5195]

thx

[@yogendrasinghbhati7808]

thank u @SANJEEB

[@swethavijay7959]

Thanks

[@iamtsanand]

thank you bro.

[@Angrezo_ke_zamane_ke_jailer]

youre op bro

[@banhishikhamondal5986]

Sir I think there's a mistake in the calculation of E(x^2) at 11:10 . The value you got is 1 but it is coming 0.5

[@rampurahussain36]

Yes 0.5 is correct

[@captainakjahangir7448]

@@rampurahussain36 So varience become 0.25 .

[@NormieCyrox]

a to the power 3 hona chiye na niche

[@AbhishekYadav-hz5xt]

@@NormieCyrox ha bro power 3 aani chaiye na??

[@AD_MUZIC]

@@NormieCyrox Yes it will be 4/8 , then 1/2 i.e 0.5 is the value of E[X^2]

[@abdulahadrauf1272]

Kal mera paper hai....... Har video ke sath sir ko dua de rha hu.... Kya gajab padha hai yeh insaan 🔥🔥🔥🔥

[@RonakSaini-jb3iu]

kesa gya bhai paper

[@nooobcoder]

7:24 se dekho, Express train kise kehte hai Board pe sabse fast likhne wale, Only Gajendra sir, hands down sir, your lectures save me from college studies. Keep it up!

[@bhatuznan7134]

. Mera selection hogaya just because of u thank u very much sir

[@vibez4121]

Kaha bhai

[@tarunkhandelwal1101]

@@vibez4121college me

[@ak001music8]

Sir in last question you take n=3 then the power of 2 will be 3 but you have taken power of 2 only as 2. Time(11:10)

[@sankalpsingh6565]

A very short and compact vdo which is enough for clearing concept. Perfect.

[@vadyamtyagi2798]

Sir we engineering students are in need for the hypothesis topic of statistic because there is not a good content on youtube of that topic, so can you post your videos on that topic also. Thank you

[@arjunjaitlee3116]

Today is my exam and I have only watched Your videos. let's see ....!

[@gajendrapurohit]

Best Of Luck

[@ilabargoti5488]

Isme jo sir nhe last question k answer nikale h wo sahi h kya.. Kyuki formula k according toh 1 and 3/2 aana chahiye.. Plz help me to solve my doubt bro

[@sirajtayyabkhan6820]

Same watching it before exam.

[@EBKCS_ABHISHEK_RAJGARIA]

@@ilabargoti5488 gaama 3 by 4 hona cahiye answer means answer is 1/2

[@ilabargoti5488]

@@EBKCS_ABHISHEK_RAJGARIA aagya tha samjh baad m

[@scorpioaakash]

sir i have a doubt in the question where 13 cards are drawn from the pack. here we have only calculated expected card value not the expected total score in 13 cards. please clarify. thanks

[@arijitsamal7651]

sir has done it wrong the question should be that a single card is drawn not 13 cards drawn simultaneously

[@tejasvigupta07]

yeah, that's what I was thinking. If thirteen cards are drawn simultaneously, the problem will become very complicated.

[@vishakhasingh3415]

exactly same doubt, the question which sir has written is much more complicated, we would have to take score range from 28 to 130

[@tatvamkrishnam6691]

Sir. Thanks for the session. It's my kind request to you to make use of analogies and proofs. That alone helps anyone to understand a problem. Analogies helps students to get closer to the truth and feel. "Strike rate of a batsman" is a good analogy for "expectancy". If we made a stat from Mr. Sachin Tendulkar's career, 1 runs 48% of the delivaries 2 runs 12% of the delivaries 3 ..... ...... ..... . . . 6 runs. 2% of all delivaries, and If the question was to find the expected run from Mr. Sachin this delivary, it makes sense as to why we use the formula that way as shown in the lecture. The E(x) gives 1.5 which means the strike rate is 150 as it is calculated for 100 balls if the batsman continues with same form!! Thank you

[@lalitgoyal078]

11:36 par sir waha 3 ni aana chahiye? Niche 2 raise to the power

[@ayushibhardwaj24]

same doubt

[@lalitgoyal078]

@@ayushibhardwaj24 konse college me ho behen?

[@Prince-Quantum64]

Sad nahi mila bhav​@@lalitgoyal078

[@nidhiprakash8193]

Sir, after changing (correcting) the value of E(X) , why did you remove the square from the formula, shouldn't it be (1/2)^2- (1/2)^2...in the variance part??

[@sakshisingh4062]

A mistake at 11:30 sir....2 raise to the power 3 hona chahiye

[@gajendrapurohit]

Hello SAKSHI SINGH 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

[@gajendrapurohit]

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[@jugalkishoredeka1764]

yup!!

[@priyankjoshi2980]

Thank You so much, sir... It cleared all of my doubts.

[@SehajdeepSingh-j8y]

Please someone confirm to me, in the q2 part, sir had gotten the probability for single card drawn event and then calculated the expectation. But in the question it was for 13 cards drawn event, without replacement(implied in question). So I think the answer should be different for that one, right?

[@SagarJoshi-h1r]

2:44 for this i was here, thank you sir❤❤

[@UECAshutoshKumar]

Thank you sir ❤️

[@limitXbreaker]

Sir plz statics aur dynamics par bhi lectures upload kriye ... Bhut difficulty hoti hai usko smjhne me

[@Adityajacked]

Sir you teach very very very good... Keep it up... Sir 500k soon sir... We all students will help you to motivate to make more videos

[@honeysaran291]

Sir I commented many times, there are diploma students also studying Btech so we face difficulty to understand maths, so plzz teach slow and with basic

[@dibyendubiswas1998]

mean = 1/n (n1 + n2 +n3 + .........) I think, a mistake at 05:08 sir.. Am I right or wrong sir ??

[@Chandankumar-tc6cy]

app nhi hota to hum fail ho jate thanks you sir

[@mathsloversjn3453]

The god of maths is GP sir

[@chandusirangi5837]

Thanks you sir

[@suresh412raj]

Thanks for such a valuable content sir 😊... At 9:27 : Pls confirm that (integral of x^n.e^(-ax) from 0 to infinity ) = (gamma n+1 / a^(n+1)) hota h ya n+1 ki jagah n hota h... Cross check se n +1 shi aa rha h sir

[@suresh412raj]

Ok sir... Cleared in next few secondd 👍

[@gajendrapurohit]

Hello Suresh Kumar 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. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@CRPR7]

Apka 10th wala video mere liye kafi useful tha Thanks sir!

[@gajendrapurohit]

Thanks

[@inzimamwazir1146]

You from

[@RahulSingh-gq7ye]

Hello Sir, I just want to ask in CRV , can variance be zero?

[@vatsalparikh633]

E(X Square)=1/2

[@Krish_Nambyal_Bisht169]

Q3 ans : (root 3 -2)/4 , by taking n=2 in E(X) and n=3 in E(x^2) .

[@umasharma6119]

Ratne valo k liye bdhiya h ye video.😎😎

[@tarunkhandelwal1101]

😡😡😡😡

[@abhinandanjain2399]

Thank you so much sir this will this video is very helpful my doubt gets cleared from you thank you so much for giving quality education

[@kautukraj]

Very helpful, thank you!

[@santoshpinjari7]

Sir thank you mujhe concept achhi tarah se samaj aya

[@rishavranjan6656]

Sir your explanations and teaching way is splendour but I would like to request for a very small thing that is can you please make your handwritting easy to decipher. thankyou

[@tarunkhandelwal1101]

😡

[@ladishani7089]

Thank you sir aapke sabhi videos bohat hi amazing hain ....sir i have one request please make a video for BASIC STATICS...

[@gajendrapurohit]

Hello Lad Ishani 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. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@ladishani7089]

@@gajendrapurohit no sir i m not preparing CSIR .... actually we have a subject probability and statistics so...

[@PrakashShrivastav41]

Thank you so much sir. ❤you are Superior. 👌👌👌😊😊😊

[@gajendrapurohit]

Hello PRAKASH Shrivastav 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 kzbin.info/aero/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019 kzbin.info/www/bejne/bJ_NdKljgdabrpI Topic:- Matrics and Linear Algebra kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Fourier Series kzbin.info/www/bejne/hJXSpotrYrB3bLs Topic:-Differential Equation of First Order and First Degree kzbin.info/www/bejne/g5SylGmFiqhqhsU Topic:- Higher Order Differential Equation kzbin.info/www/bejne/qnnUqWSnraZrp5Y Topic:- Second Order Differential equation of Variable Coefficient kzbin.info/www/bejne/Z3mun2x_q76ce68 Topic:- Partial Differential Equation kzbin.info/www/bejne/rIuof2eEjc2gl8k Topic:- Vector Calculus kzbin.info/www/bejne/fJetpYmshtmkiq8 Topic:- Laplace Transform kzbin.info/www/bejne/e3W5e6KqorlobpY Topic:-Asymptote kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Fourier Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Tracing kzbin.info/www/bejne/eZrSimt7odidhZY Topic:-Tracing Of Polar Curves kzbin.info/www/bejne/sH20dmuqhJp6b5I Topic:-Surface area and Volume of Revolution of curve kzbin.info/www/bejne/p2m2iKKvedSBd8k Topic:-Complex Analysis kzbin.info/www/bejne/qmrbiGqLlr-qkJI Topic:-Partial Differentiation kzbin.info/www/bejne/mIXWaKGZdsR0qrs Topic:-Maxima and Minima of Two Variable kzbin.info/www/bejne/hKG1amStmt2kfqM Topic:-Numerical Analysis kzbin.info/www/bejne/qIjchZ5vmtqVga8 Topic:-Differential Calculus kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Integral Calculus kzbin.info/www/bejne/mpOalZKXZdyci8k Topic:-Integral Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Fitting kzbin.info/www/bejne/h6qUinSBj6l0bc0 Topic:-Radius of Curvature kzbin.info/www/bejne/p4icpJ-Il555n8U Topic:-Jacobian kzbin.info/www/bejne/j4nQlntnrsqpoc0 Topic:-Envelop & Evolutes kzbin.info/www/bejne/fmrbqX-Ojriledk Topic: Infinite Series kzbin.info/www/bejne/rJfKYqCjqLiAg68 Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Operation Research kzbin.info/www/bejne/oZ-9o5uMoL9qZ7M Topic :- Series Solution kzbin.info/www/bejne/pIjUloqbbJ6iZtk Topic :- First Order & Higher Degree Differential Equation kzbin.info/www/bejne/l4rVpIObepyBgrM Topic :- Simultaneous Differential Equation kzbin.info/www/bejne/j2mmd2NnnMeXlbc Topic:- Statistics & Probability kzbin.info/www/bejne/jGTMdqaChaZ3bJo Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic: Important Question of Mathematics for Class 12th   kzbin.info/www/bejne/rInGoYWKmqp3iK8 Topic:- Important Question of Mathematics for Class 10th kzbin.info/www/bejne/bYqaloR8gZijpLc Topic :- Solution of Paper of Maths CBSE Exam 2019 Class 12th kzbin.info/www/bejne/fpiYg3uVbs2AocU Topic :- Solution of Paper of Maths & Science CBSE Exam 2019 Class 10th kzbin.info/www/bejne/pZSlfmeQetWCsNU Please share it with your Friends Thanks Dr.Gajendra Purohit

[@vipmanojkumar710]

sir last me apne kat piti ki is liye samjh na aaya kya yah wapas bta sakte hai group me bhej dena ho sake to baki aap videos achhe se samjh aate hai thank youu sir

[@sandeepbhatt4238]

Dil se apka thks mere best maths sir ❤️🇮🇳

[@DeepakKumar-mh7qr]

Thank you sir apki video mere liye bhut helpfull rhi

[@GovindChauhan-nk8ec]

Great sir 👌 thanku so much but sir board seems very bular some digit can't saw clearly

[@DarkFire-qf5lv]

Sir u are life saver during xam time

[@saitej4750]

Sir I'm btech 2nd yr. This videos helpfull to me

[@asimali5808]

thnku sir ur method of teaching is best for me

[@SantoshKumar-hx2ig]

Enough for engineering?

[@bishwanathdutta7767]

Thank you

[@archanalawande1984]

Please answer my question Suppose X takes values 1,4,9,16,.....100 with equal probabilities, then E(X) is ?

[@Rakeshkumar-jf4ty]

Very nice sir 🙏 🙏 🙏 🙏

[@asheerali7944]

please try to explain the importance and some theoretical importance

[@notknown84]

sir just one doubt what if the function f is bivariate will we take the other variable as it is (constant) kindly ans sir

[@Dairyfarmngh]

Tommorw is my exam and I started watching from 3 pm

[@supreetshukla1]

Sir kurtosis ka concept introduce nhi kiya aapne?

[@anupamjha8381]

Thankyou so much 😊 dear sir....

[@premkishan1972]

THANKU SIR

[@roadtofitness4208]

Thankyou so much sir pls make video on discrete distribution as soon as you can because i have a test after 5-6 days. It will mean a lot to me

[@gauravsagar5718]

Are sir vo continuous wale m |2 ka kya matlab h, vo integration ke solution m jo nikala tha

[@shawngirvasis]

Sir when is moments releasing,will it come soon

[@basrammeena3820]

Excellent Sir

[@leenaassudani8246]

Sir please make a video on Kuhn tucker condition.

[@himanshigupta3255]

Sir their is mistake in finding varience if you are using e(x) in a place of x- than where is x i didn't understand please clear this ..

[@arijitsamal7651]

the value of E(x) at 9:43 must be 0.5 not 1

[@atharvak1503]

Yess bro

[@dex5trx]

Pura tho dekh liya karo phir bolna 😑🙃

[@abhinandanjain2399]

Thank you so much sir ji 🙏.

[@artistanju]

Sir gama function ke formula me aapne x ki pawer only n lgaya h vha n-1 aayega sayd

[@gaa__yatri9103]

Bayesion inference of discrete random variable. Is it same??

[@exploretheunknown9683]

Helpful! But Board colour is boring!

[@Soumyayoutube]

great content! thank you so much!!

[@imtiyazalam_IIItian]

Thank you so much sir for this amazing playlist ..agar yee playlist na hota tu pass karna muskil tha sir . Thank You again sir

[@SarahJay22]

ek do theen ja paach cher saath aat no das Hey look I also learned to count to 10 in Hindi by this 😎😅 Love from sri lanka 🎉❤ ( yeah honestly this video was super clear even though i dont speak hindi 😂 )

[@Letsstartcoding-sn1vm]

how to find the gama value?

[@jmsclassesbibiganj6197]

Best hai aap sir

[@harishrawat2408]

Big thanks sir by me 🙏🙏🙏🙏🙏🙏

[@prashantthakur9781]

Sir if I want to find E(6x+3x^2) when f(x) = 2(1-x) then what will i do? Please reply me sir

[@pinkkitty6553]

thank you so much sir

[@harshags710]

sir at end end u think you confused us........but yes good lecture🙇‍♂

[@nisarkhan6072]

sir plz make vidoes about statistical inference

[@MATMARIMPUDIJOMASUPRIYA]

Is gama and factorial the same?

[@AMAZING_TRIPURA]

Sir last question ka mean jo hee x ki power 1 hi hoga

[@quak9144]

Thanks sir for such helpful vedios after watching your vedios sir Now I'm sure exams are going to be great

[@HollywoodMovies12344]

gama 3/2*3

[@Naveen.Kumar.rj18]

Nice explanation sir

[@pratikagarwala2919]

Sir please explain donot just run behind solving for solution

[@inzimamwazir1146]

You r great

[@zgodgaming857]

i will send a handwriting book to you

[@justsmilereadingthis]

@@zgodgaming857 hahaha

[@subhajitdey7312]

Sir the formula you have used @09:15 i can't use it in the question so can you elaborate or pin any words to help me .....

[@yuktachaudhary8751]

Sir you are inspiration for me😊😊

[@sunnyroy3881]

osm sir ji method is most expensive

[@nareshgoyal705]

Sir plz Shooting Method par video bnaiye exam 30th ko he very urgent sir

[@Deep_fit_vlogs]

Sir last question mei aapne Jo uljhaya hai naa 🥲😭

[@kindykomal]

Thank you so much sir 🙏🏻 Great explanation of concept 💯

[@imosama09]

Sir i follow your videos please upload videos on Distributions ( Mathematical). I have seen videos of an indian but could not gt it. Please upload if it is possible thanks

[@TusharKumar-iu4nt]

Superb explanation!!

[@MohammadShoaibAkhtar-fz1cx]

Helpful ❤

[@mayankgaur5662]

Sir pls explain the concept first & them solve questions

[@pawan99835]

Aapki ab shadi ho gayi aap engineering ban Gaye Bhai 🎉

[@pranshukrishan9134]

Sir you are great

[@AtharvaKajwe]

Sir already 1.5x speed pe sikha rahe hai... Anyways, teaching is great. Thank you sir

[@WEDNESDAYFF762]

Awesome Sir

[@devimayamainali5509]

You are great sir😊 outstanding explanation ♥️ crystal clear,🙏 thanks a lot♥️

[@mrak8948]

huge respect

[@CHChandanMansani]

thank you so much sir . You help us a lot by explaining the concepts so clearly