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

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

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

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

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

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

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 KZread TV with the Organic Chemistry Tutor.

You deserve a Nobel peace prize. Thank you 🙏🏿

I really love ur way of teaching sir

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

Thank you, we practiced so much. Nice G

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

Using this for my 50 percent exam 😢

@priv.dm9

6 ай бұрын

My 60%💔

@tumuyangen7172

2 ай бұрын

😢😢😢

Thank u sooo much😭❤️

Thank you so much!

I love your Brooklyn accent

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?

Thank you so much sir

Thanks for saving me

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

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

thank you so much

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

THANK YOUUUU SOOO MUCH

Thank you

Learning this to win in Battleship

Hi. Please why did you integrate and then differentiate?

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

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

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 KZread video.

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"?

thanks

hello, with calculator do you use?

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

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-

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

GOD Of Mathematics

@mutalimichael

Жыл бұрын

There is only one God

Superup sir🙏🙏🙏

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

probability mass function ?, when will you do that ?

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

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%

I’ve got 30 minutes before my exam 🙏🏻

how would you get the decimal without using a calculator

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.

4:27 why did I get .808

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

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 KZread explaining it very well using formulas and explains how they work. Just quickly search and watch a few short videos and you’ll understand :)

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

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 .

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

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

His voice makes me sleepy

Thank you