Normal Distribution - Bell Curve, Areas, Probabilities, PDF, CDF, How it All Works

We learn how to calculate areas under the normal distribution bell curve to calculate probabilities, of left tails, right tails and central areas. We start by learning what the probability density function, pdf, does as well as what the role of the cumulative probability density function, cdf, is. Three examples are given and in each case we clearly show how to calculate the area with the calculator.

[@pritykar9946]

Thank you. This video was so needed. No body explained such clearly

[@RadfordMathematics]

Thanks so much for such a kind comment 😊.
I’m really glad it helped!!
Take good care!
John Radford.

[@ivportt]

I didn't understand why we did the things in AP Stats regarding bell curves, but this video helped me so much to grasp the full idea

[@RadfordMathematics]

Thanks for your comment!
I’m really glad it helped 😊

[@DelhiiteChetan]

I have one doubt..we know that continuous distribution can't have prob at a point. then what sense does pdf makes other than acting as function to find area under the curve for CDF

[@RadfordMathematics]

The pdf serves merely to get the bell curve’s equation.
The cdf then allows you to calculate the area under the pdf’s curve 😊

[@DelhiiteChetan]

thanks a lot@@RadfordMathematics

[@subharthipradhan5987]

Can you suggest me how to calculate table value of normal distribution manually...which is given in the end of statistics book

[@parnianrezaei1574]

very good video, thank you

[@Jjfds.Vcfghxssdbfrtgdx]

Brother do u have form 5 syllabus because I got exam after 10 months

[@RadfordMathematics]

Hi Ali,
The form 5 syllabus is quite vast :)
I do have quite a few tutorials on content that’s part of the syllabus.
Maybe I can start creating a playlist; could be useful :)

[@satyamrockit44]

Very informative, deeply explained thank you for the vedio.❤

[@RadfordMathematics]

Thanks for your kind comment!
I’m really glad it helped 😊

[@ramyasri6845]

how do i install that calculator?

[@RadfordMathematics]

Dear Ramya,
It's the teacher software foe the TI Nspire CX.
I purchased it directly from the texas instruments site.
Hope that helps 😃

[@ahmadk5844]

thank you, this is very helpful

[@RadfordMathematics]

Really glad it helps 😊
Thanks for your comment! It helps as well 😊

[@maggieflinn2778]

you just saved me this helped so much

[@RadfordMathematics]

Thanks for your comment! I’m really glad it helped 😊

[@sherifgerges9316]

beautiful.

[@RadfordMathematics]

Thanks for the kind comment Sherif, I’m truly glad my tutorial helped 😊
Take good care ✌️