Probability Density Functions
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- Опубліковано 23 бер 2018
- 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.
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Probability Density Functions:
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Normal Distributions - Calculus:
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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 UA-cam TV with the Organic Chemistry Tutor.
Using this for my 50 percent exam 😢
My 60%💔
😢😢😢
For anyone asking, he plugs the definite integral evaluated from 4 to 5 into a "definite integral calculator" symbolab works
You deserve a Nobel peace prize. Thank you 🙏🏿
I really love ur way of teaching sir
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.
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 u sooo much😭❤️
Thank you so much!
0:23 equal to or LESS than zero you said? But the sign is equal or bigger than zero?
Thank you so much sir
awesome - I reviewed a lot math by just solving these two problems. great job
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Hi. Please why did you integrate and then differentiate?
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Thank you
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
it was a mistake, he corrects it by saying it can't be negative
Very helpful sir thank you.
Also I request you to cover binomial , poisson distribution , discrete distribution. Plz sir
did he? im dying
@@valeriagoguv7302 did he? im dying tooooo
In question 1)B and C part was in calculator so please show how to do it !
we need face reveal, sir.
@Billy Ronan no it didn’t dude shut up
why do indians always say "sir" on the internet lmao
@@arisoda it's just respectful y'know-
@@polarisalpine2638 except everyone finds it annoying
@@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-
hello, with calculator do you use?
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
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 UA-cam video.
thanks
probability mass function ?, when will you do that ?
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"?
so why is the greater than 4 not evaluated differently in the integral?
in my head i feel like it shouldnt matter whether its inclusive but i could be wrong.
@@zebruhmlz8801 I think you're right. The probability that a continuous density function is a constant is always zero. P(X=c)=0
Learning this to win in Battleship
Plssss plsss show on finance calculator Texas Instruments how to calculate definite integrals 🙏🏻
how would you get the decimal without using a calculator
This is probably 3 years too late but, what did you put at 4:28 in the calculator?
I am wondering as well
what are you plugging in the calculator?
1/e^(7/5)
Yeah I wonder the same!.... how did he get 10.4 and 54.4 percent from the calculator... :S
Superup sir🙏🙏🙏
So can anyone explain? he mentioned " f has to be equal or less than zero" but wrote down f>=0.....
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.
GOD Of Mathematics
There is only one God
4:27 why did I get .808
how do you get 54.4% for part c in the first example, what numbers did you plug in?
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
I got 28.8%
I think he meant that X must be equal to or greater than 0
I’ve got 30 minutes before my exam 🙏🏻
Im not going to pretend to know where you pulled one over u times e to the negative t over u power from.... lol
It’s just the definition of the exponential density. There are great videos on UA-cam 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.
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
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 .
His voice makes me sleepy
Thank you