Prove: Area under Standard Normal Curve is 1

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Let's prove that the area under a standard normal curve (a bell-shaped curve with mean of 0 and standard deviation of 1) is equal to one.

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Комментарии
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Thanks for the work mate, God bless!!!

testing-lv
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pretty great explanation and I like your style :)

MEE
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Amazona. Treta videos, thanks. Coludidos you créate progresiva playlists to advance in polar integrales maybe?

algebraparatodos
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I searched for this thanks. Also i have a question: in our math lecture my teacher explain this curve for e^-x^2. Is there a difference?

akif
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Sir i m in class 12th please tell me i dont understand how u multiply 2 multiple and my sir told that e^x^2 is out of class 12 syllabus ....please tell me....

neerajchoprarealid
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Hey, nice video ! What if i say :
The normal distribution is a probability distribution, the biggest value will be 1 (Since P<1 or P = 1). So, if we want to get ex.
the area of μ-3σ or μ+3σ we will get : integral 1/σradical2π * e^ (x-μ)^2/ 2σ^2 = P ( μ-3σ <= z <= μ+3σ) = 99, 7%. So by this :
integral 1/σradical2π * e^ (x-μ)^2/ 2σ^2 = P ( -oo <= z <= +oo) = 1
is it correct ?

BLooDyHD