Probability Density Functions

Рет қаралды 453,701

6 жыл бұрын

This calculus 2 video tutorial provides a basic introduction into probability density functions. It explains how to find the probability that a continuous random variable such as x in somewhere between two values by evaluating the definite integral from a to b. The probability is equivalent to the area under the curve. This video also contains an example problem with an exponential density function involving the mean u which represents the average wait time for a customer in the example problem.
Improper Integrals:
• Improper Integrals - C...
Integration Into Inverse Trig:
• Integration into Inver...
Integration of Rational Functions:
• Integration of Rationa...
Integral of Logarithmic Functions:
• Integral of Logarithmi...
Integrating Exponential Functions:
• Integrating Exponentia...
Integration Formulas:
• Integration Formulas F...
________________________________
Integration By Tables:
• Integration By Tables
Reduction Formulas - Integration:
• Reduction Formulas For...
Center of Mass & Moments:
• Moment, Center of Mass...
Center of Mass & Centroid Problems:
• Center of Mass & Centr...
Hydrostatic Force Problems:
• Hydrostatic Force Prob...
Probability Density Functions:
• Probability Density Fu...
_________________________________
Normal Distributions - Calculus:
• Normal Distribution & ...
Homogeneous Differential Equations:
• Homogeneous Differenti...
1st Order Linear Differential Equations:
• First Order Linear Dif...
Bernoulli's Equation for Differential Equations:
• Bernoulli's Equation F...
Slope Fields:
• Slope Fields | Calculus
___________________________________
Converging & Diverging Sequences:
• Converging and Divergi...
Monotonic & Bounded Sequences:
• Monotonic Sequences an...
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Пікірлер: 78

@TheOrganicChemistryTutor Жыл бұрын

Next Video: kzfaq.info/get/bejne/na5yf5iLxtuXfnk.html Final Exams and Video Playlists: www.video-tutor.net/

@ophiliasantos785 4 жыл бұрын

Your speech is so clear. I like your channel than many others. God bless you

@nataliarobinson5671 2 жыл бұрын

I have been using your channel since GCSE and now I am still using it in university - thank you for all your help!!!

@ahmedfathi5448 2 жыл бұрын

Thank you bro so much your content is phenomenal, you’re a lifesaver man keep up and always provide us with something new 👍🏻

@lizzaliz 2 жыл бұрын

You've saved my life more times than I can count. Keep shining, thank you!

@DarthAsthmatic 5 ай бұрын

I get sooooo relieved when I find a TOCT video on a topic I need to understand

@kenkinyua7036 2 жыл бұрын

this channel is the reason i ace my tests thanks so much

@georgesadler7830 10 ай бұрын

Professor Organic Chemistry Tutor, thank you for an outstanding Introduction to the Probability Density Functions in Calculus Two. I also encountered Probability Density Functions in Engineering Physics Three and Engineering Probability, which is an Undergraduate required course in Electrical Engineering. This is an error free video/lecture on KZfaq TV with the Organic Chemistry Tutor.

@braingump2345 9 ай бұрын

Using this for my 50 percent exam 😢

@priv.dm9 6 ай бұрын

My 60%💔

@tumuyangen7172 3 ай бұрын

😢😢😢

@brucesmith9726 2 жыл бұрын

For anyone asking, he plugs the definite integral evaluated from 4 to 5 into a "definite integral calculator" symbolab works

@nomad2458 2 жыл бұрын

You deserve a Nobel peace prize. Thank you 🙏🏿

@tjosman7755 3 жыл бұрын

I really love ur way of teaching sir

@francinevoltaireledesma7996 2 жыл бұрын

Thank you, we practiced so much. Nice G

@patrickmayer9218 2 жыл бұрын

Personal note for calc 2, don't worry about exponential density, just worry about the ones like the first problem.

@jessjakubek3184 3 жыл бұрын

What are you putting into the calculator at 4:40 ? Are you just following the same process but without having to work out the common denominator?

@ayandaduarte.c1708 4 жыл бұрын

Thank u sooo much😭❤️

@wrjazziel 3 жыл бұрын

Thank you so much!

@542395633 11 ай бұрын

0:23 equal to or LESS than zero you said? But the sign is equal or bigger than zero?

@chandrajyothibojjapu9566 2 жыл бұрын

Thank you so much sir

@Alchemist10241 Жыл бұрын

awesome - I reviewed a lot math by just solving these two problems. great job

@jeyko666 4 жыл бұрын

I love your Brooklyn accent

@ccbl6270 3 жыл бұрын

thank you so much

@gboladeaduragbemi4508 Жыл бұрын

Thanks for saving me

@kellyredds7292 11 ай бұрын

Hi. Please why did you integrate and then differentiate?

@Hakuuu99 Жыл бұрын

THANK YOUUUU SOOO MUCH

@johnhhu2137 3 жыл бұрын

Thank you

@Jekku. 4 жыл бұрын

I was quite confused with the sign here 0:27, you said it has to be eq. or less than zero, but you wrote it as greater than or eq. to zero

@AshutoshKumar-ij6ty Жыл бұрын

it was a mistake, he corrects it by saying it can't be negative

@bharatsahijwani441 6 жыл бұрын

Very helpful sir thank you. Also I request you to cover binomial , poisson distribution , discrete distribution. Plz sir

@valeriagoguv7302 2 жыл бұрын

did he? im dying

@i_mreed Жыл бұрын

@@valeriagoguv7302 did he? im dying tooooo

@jaypatel9221 Жыл бұрын

In question 1)B and C part was in calculator so please show how to do it !

@mohamedabubakar8487 6 жыл бұрын

we need face reveal, sir.

@Test-ri2kr 3 жыл бұрын

@Billy Ronan no it didn’t dude shut up

@arisoda 3 жыл бұрын

why do indians always say "sir" on the internet lmao

@polarisalpine2638 2 жыл бұрын

@@arisoda it's just respectful y'know-

@arisoda 2 жыл бұрын

@@polarisalpine2638 except everyone finds it annoying

@polarisalpine2638 2 жыл бұрын

@@arisoda that's them, I honestly find it very respectful, and it also varies upon the person I'm confronting, if they don't have any problems with someone saying them "sir" then I think it's fine, ofcourse I'll appreciate if someone called me "sir" but that's just me-

@onnysmenete2350 3 жыл бұрын

hello, with calculator do you use?

@Super_Sayan_Broley 4 жыл бұрын

Sir, I did not understand how did you derive a function for 2nd problem (the waiting time one), I mean how did you get that (1/U*e^-t/U)? apologies for my dumb question in advance

@mod2 3 жыл бұрын

That's just the formula of the exponential density function (usually represented using lambda). Here he has replaced lambda with 1/t. He. hasn't derived it here, but you can probably find the derivation on Google or some other KZfaq video.

@rashidkalimbo2451 3 жыл бұрын

thanks

@dzangam1879 5 жыл бұрын

probability mass function ?, when will you do that ?

@bradleyplummer5778 9 ай бұрын

at 0:21, you say "if its a PDF than it has to be equal to or less than zero..." Is that correct? or did you mean to say "greater than"?

@aaronrappleyea8202 5 жыл бұрын

so why is the greater than 4 not evaluated differently in the integral?

@zebruhmlz8801 4 жыл бұрын

in my head i feel like it shouldnt matter whether its inclusive but i could be wrong.

@gobbergobberer4776 4 жыл бұрын

@@zebruhmlz8801 I think you're right. The probability that a continuous density function is a constant is always zero. P(X=c)=0

@zapper354 2 жыл бұрын

Learning this to win in Battleship

@MsLipsxLikeSugar Жыл бұрын

Plssss plsss show on finance calculator Texas Instruments how to calculate definite integrals 🙏🏻

@graceplumitallo1517 Жыл бұрын

how would you get the decimal without using a calculator

@francinevoltaireledesma7996 2 жыл бұрын

This is probably 3 years too late but, what did you put at 4:28 in the calculator?

@ayze6095 Жыл бұрын

I am wondering as well

@terrywayne_ 4 жыл бұрын

what are you plugging in the calculator?

@ArchangleTyrel2 3 жыл бұрын

1/e^(7/5)

@wrjazziel 3 жыл бұрын

Yeah I wonder the same!.... how did he get 10.4 and 54.4 percent from the calculator... :S

@tanusharma854 3 жыл бұрын

Superup sir🙏🙏🙏

@jaouadrahouani4975 3 жыл бұрын

So can anyone explain? he mentioned " f has to be equal or less than zero" but wrote down f>=0.....

@MrJeanmarc101 3 жыл бұрын

He said it wrong but wrote it right. It has to always be over 0 because we are calculating a probability. By definition, probabilities can only have an image of (0,1). Hence, why a probability fonction can never be negative or over 1 for that matter.

@mouhassan6117 4 жыл бұрын

GOD Of Mathematics

@mutalimichael Жыл бұрын

There is only one God

@U2vl9v0 2 жыл бұрын

4:27 why did I get .808

@KevinDhoundiyal Жыл бұрын

how do you get 54.4% for part c in the first example, what numbers did you plug in?

@jesicamarisikat724 Жыл бұрын

you get the anti-derivative of the f(x) first and then you plug in the limits from 1 to 3 to get 0.544 or 54.4%. he used a calculator

@lydia7802 9 ай бұрын

I got 28.8%

@ApurbaMandal420 8 ай бұрын

I think he meant that X must be equal to or greater than 0

@allyknight6872 3 ай бұрын

I’ve got 30 minutes before my exam 🙏🏻

@kameronbriggs235 5 жыл бұрын

Im not going to pretend to know where you pulled one over u times e to the negative t over u power from.... lol

@navjotsingh2251 4 жыл бұрын

It’s just the definition of the exponential density. There are great videos on KZfaq explaining it very well using formulas and explains how they work. Just quickly search and watch a few short videos and you’ll understand :)

@leroystudent3024 9 ай бұрын

He's so fast! Why are you going so fast? I'm watching at x0.50 and still cannot catch up with you.

@vansf3433 9 ай бұрын

Calculus can be useful only when there is a boundary , and the upper bound band the lower bound are specific and definable values. Otherwise, it will be come a sort of nonsense -generating mathematical notion

@vansf3433 9 ай бұрын

The area under a curve which extends to infinity can never be 1 as unbelievably ignorantly stated and copied by the ignorant

@vansf3433 9 ай бұрын

One of the biggest problems of nonsense in calculus is using such non-existent values as negative infinity and positive infinity as specific values to evaluate a sort of subjective mathemstical statement. That's where nonsensical formulas in physics come from .