Mathematical Expectation, Variance Of Continuous & Discrete Random Variable

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This video lecture of Mathematical Expectation, Variance Of Continuous & Discrete Random Variable | 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 Mathematical Expectation of Continuous & Discrete Random Variable ?
3. How to find the Variance of Continuous & Discrete Random Variable ?
4. Example Based on Mathematical Expectation, Variance Of Continuous & Discrete Random Variable
#Expectation #Variance #StandardDeviation
#EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Engineering Math 2019 Online Solutions OfMathematical Expectation, Variance Of Continuous & Discrete Random Variable | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
0:00 - An introduction
1:10 - Mathematical Expectation
2:05 - Mean
2:38 - Variance
4:20 - Q1.
6:20 - Q2.
8:19 - Q3.
11:38 - Conclusion of video
12:28 - Detailed about old videos

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[gajendrapurohit]

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Dr.Gajendra Purohit

[raisanjeeb]

It might help if someone got confused about about of Gamma :- For +ve number

Gamma(x) = (x-1)!, where !=Factorial

[banhishikhamondal]

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

[abdulahadrauf]

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

[sankalpsingh]

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

[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!

[bhatuznan]

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

[vadyamtyagi]

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

[limitXbreaker]

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

[priyankjoshi]

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

[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

[arjunjaitlee]

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

[SehajdeepSingh-jy]

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?

[nidhiprakash]

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??

[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

[CRPR]

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

[honeysaran]

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

[DeepakKumar-mhqr]

Thank you sir apki video mere liye bhut helpfull rhi

[Krish_Nambyal_Bisht]

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

[tatvamkrishnam]

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