Normal Distribution | Moment Generating Function | Mean & Variance By MGF

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This video lecture of Normal Distribution | Moment Generating Function | Mean & Variance By MGF | 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 Normal Distribution & Continuous probability Distribution ?
3. How to find Mean and Variance of Normal Distribution By MGF ?
4.How to find Moment Generating Function of Normal Distribution ?
5.How to find Moment Generating Function of Standard Normal Distribution ?.
#PoissonDistribution #Mean&Variance #MGF
#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 Of Poisson Distribution | Mean & Variance | Moment Generating Function | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
0:00 - An introduction
1:01 - Moment Generatig function of Normal distribution
8:58 - Moment Generatig function of standard Normal distribution
11:15 - Mean of Normal distribution by MGF
12:25 - Variance of Normal distribution by MGF
13:52 - Conclusion of video
14:39 - Detailed about old videos

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[gajendrapurohit]

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[stanzinphanday]

Standard normal Distribution
M z(t) = e*(t*2/2)
Meaning not negative

[HishaMized]

Sir! I have a humble request that I will put forward as a suggestion. Please take still frames of the green board after you are done with a slide and put them all at the end of the video while editing so that we can take screenshots and make our notes.

[jatinbhatoya]

sir aapke jaisa shayad hi koi aur padha paye. aapki padhane ki speed boht achi hai. engineering ke mostly bache 1 raat pehle hi baithte hai syllabus complete krne ke liye. aur mai aapko 2x prr dekh rha hoon toh mza aa gya. thanks sir

[albert]

Even function are symmetric about y axis. You considered that to be even function but it is neither even nor odd as f(z) != f(-z). It is symmetric about (sigma)t .
Also lower limit is not zero when you convert dz to d(theta).
Though the answer came out to be correct but the steps weren't correct. Correct me if I'm wrong 😊

[AnjaliSingh-rymx]

Sir around 5:00 the fun is not even . So here we need to use the property of Gaussian Integral instead of gamma func.

[mathematicslibrary]

Sir if we put p=(z-at)²/2;
then z->0 => p not equals to 0.
But sir you consider p=0, which goes wrong.

[Trotz]

understood 0 words, understood all the math. I love it

[nischalsingh]

Sir mei notes se question dekh ke aata hu aur usse samjhne ke liye youtube karta hu phir mei aapka video dekhta hu aur phir aapka video samjhne ke liye google karta hu. thank you sir😄

[dishanamdev]

e ki power t^2/2 to positive tha last me negative kese ho gaya sir. Please explain at 11.09

[MamunAcer-dqcj]

You are a GEM Sir. I am a student of Statistics and from Bangladesh

[Dravid]

A lot of thanks sir, for contribution in changing education system and serve our society...

[vandanachauhan]

Thank u sir your videos are really helpful in my exams preparation

[Little]

sir, can you please give an example or solve any problem on normal distribution.

[shehzadi]

Thank you muchchchchch
It helped me alott
Uh deserve a lot of likes and subscribers

[MEBHarshYadav]

thank u sir, u deserve a big round of applause

[hbasu]

thank you posting this lecture. While finding MGF of standard normal variable z around @10.20, how do you take z = (x-mu)/ sigma ? You said this is a formula for z, But how do you get such formulas? PleASE explain

[LovelyNature.]

Your videos are too satisfing sir, just loved it👍👍

[lalitgoyal]

11:08 par -t kyu lagaya sir t² aana chaiye tha na?

[abirbiswas]

5:50 sir why there is no change limits? despite you change (z-sigma t = theta )