Error: Help regarding normal distribution week 17

Hello,

In one of the lecture formula of normal density function is given as

image
Also given that
image

But I searched and found out that
image

Hence,
image
It will be
image

But to get total sum as 1 shouldn’t function be
image

So that
image

Because
image

PFB screenshot for same.

Sorry If this is wrong, but please help to check where I am going wrong.

Thank You.

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Hi @mehtavatsald02,
Can you please provide a pointer to the source you’re referring to.

Hi @Ishvinder

Explanation of integral

Standard Normal Distribution

Hi @mehtavatsald02,
The wikipedia link shared has this quoted.

Yes you’re right, it’s a typing error i guess in the slides.It should have been the one you suggested.

Thanks for pointing this out.

Yes @Ishvinder,
But see the density function.

It is
image

and not
image

There is difference of 1/2 in power of e.

1 Like

Hello,

In slides following functions are given as
image
And
image

But these fuctions should be
image
And
image
respectively.

There is missing sigma term in denominator which is required to get Variance as (sigma)^2 while solving integrals

Following are screenshots for same


And

Following wiki link confirming same

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Yes you’re right… I’ve noted it down for the changes.
Thanks man.