Probability Exponential Distribution Problems
This statistics video tutorial explains how to solve continuous probability exponential distribution problems. It explains how to do so by calculating the rate parameter from the mean. It also tells you how to graph the probability density function.
Introduction to Probability:
• Introduction to Probab...
Probability Formulas:
• Probability Formulas, ...
Probability Explained:
• Probability Explained!
Probability With Geometry:
• Probability With Geome...
Probability of Complementary Events:
• Probability of Complem...
Conditional Probability:
• Conditional Probabilit...
__________________________________
Independent and Dependent Events:
• Probability - Independ...
Probability of Mutual Exclusive Events:
• Probability of Mutuall...
Multiplication and Addition Rule:
• Multiplication & Addit...
Compound Probability:
• Compound Probability o...
Expected Value:
• How To Calculate Expec...
Probability Tree Diagrams:
• Probability Tree Diagrams
___________________________________
Bayes Theorem:
• Bayes' Theorem of Prob...
Probability - Binomial Distribution:
• Finding The Probabilit...
Probability - Geometric Distribution:
• Geometric Distribution...
Probability - Poisson Distribution:
• Introduction to Poisso...
Continuous Probability Distributions:
• Continuous Probability...
Probability Density Functions:
• Cumulative Distributio...
__________________________________
Probability - Uniform Distributions:
• Continuous Probability...
Probability - Exponential Distributions:
• Probability Exponentia...
Probability - Normal Distributions (Calculus):
• Normal Distribution & ...
Probability - Standard Normal Distributions:
• Standard Normal Distri...
Probability - The Law of Large Numbers:
• Law of Large Numbers
___________________________________
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"Thanks again for watching" I mean why?? Thank you, Professor!!!!!!! We all truly appreciate you and your time!
Thank you so much man !! You have no idea how much you've helped me in learning statistics. The fact that you are providing all of this to us for free is just incomprehensible. Cheers man
@ktiwari31
Жыл бұрын
I think you intended to say ‘incredible’ and not ‘incomprehensible’.
@rosegold7283
Жыл бұрын
@@ktiwari31 no they meant what they meant as in its so shocking its hard to understand how he does it
@rohithlohith9495
9 ай бұрын
NO THEY MEANT IT AS ITS SO HARD TO UNDERSTAND WHY THEY WOULD GIVE THIS INFO FOR FREE@@ktiwari31
You are the best tutor i have ever witnessed... My doctor cannot explain with this brief way. your explanation even your voice really makes me yearn to watch more from your videos.... Thank God for your existence and may god rewards you ❤️❤️❤️🙏
@MindMathMoney
4 жыл бұрын
AGREED! ❤️❤️❤️🙏
@saki7952
4 жыл бұрын
True.
I recently discovered your channel and I must confess that it has been super resourceful. I have had trouble understanding some theories and concepts in statistics. Mind you, I have been done with Uni for years. However, because I want to purse a career in Data science which requires having fundamental knowledge of some area of statistics makes it an evitable challenge that I must overcome in order to excel in this desired field. Great Job!
Amazing lesson! thank you! I found a difficulty in the material but you made it really easy!
Very useful! Thank you very much! You saved me hours of trial and error trying to figure out what this kind of problems were about!
I am so glad I came across this channel. Math generally isn't my best suit, but I am so happy youre helping me get there!
@DCSF15EPILOT
3 ай бұрын
pretty sure this is statistics man
Simple and straight forward,u have made my life so simple in med school 🙏thank you
This video on exponential distributions has caused my knowledge on exponential distributions grow exponentially. Thank you 🙏🙏🙏🧬🍻
Another Great Video, you explain things so well that's easy to understand!
U r the best KZread channel for learning. Ican find any videos I search for in your channel.u r Really great
I believe you made a mistake towards the beginning when calculating the value for lambda. You wrote "lambda = 1/lambda" instead of "lambda = 1/mu"
@chinchang5117
4 жыл бұрын
Of course, the teacher has made a mistake. But it is up to the student to correct the mistake himself.
@Nova-Rift
4 жыл бұрын
@@chinchang5117 wrong
@leothompson6397
3 жыл бұрын
@@chinchang5117 Ironically, you are the person who is wrong here. What you said applies to entire subjects, as in, the student needs to discover the things that the teacher could not. It does not mean that during teaching, the teacher can stack up minor mistakes without care.. Know when to apply your knowledge.
@afonsoeira5
3 жыл бұрын
@@chinchang5117 u got finessed
@melonmelonmelon8422
3 жыл бұрын
@@chinchang5117 I am surprised that no one said anything about his username? so Disrespectful
In first minute lambda = 1/mu you have made a typo there.
@Tlion2102
Жыл бұрын
was gonna say, thanks!
Thank you for your explanation, I understand it better through your example. Previously I read the formulas but did not feel how this distribution get the specific value corresponding to X= time.
You have been so helpful every time I feel a struggle. But today I am here just to hear your voice.
@naveedvelani3102
4 жыл бұрын
get a life
Clear and concise, despite of tiny mistake at the beginning
You're really good at explaining things easily. Keep up the good word.
btw its x is greater than 4, not x is less than 4
God bless you, Thank God for leading me to your channel. Thank you for the videos
What would I do without this man🥺🥺🥺
Another helpful video, very excited for my Statistics test.
Clearly explained. Well done, and thank you!
Thank you for sharing this video. I was watching my class lecture and just did not get it. I also didn't realize I needed to use the "power of e" on the calculator to get the number.
thank you so much and i rate you all the stars in the galaxy and universe at large you are the best.
You never disappoint. Thank you
Thank you so much Sir, you have really helped me in studies.
Hello your channel is amazing and I never go to any other tutors to understand my problem but please do explain when we use each distribution as there are many of questions they don’t tell you the distribution type so you have to guess and stay in doubt and also when you are calculating lamda or mue too many books has introduce it in different ways and it is so confusing so when we have the mean please clearly explain how we can calculate lamda thanks
Why is there 1- in (1-e)
The last question where 4 Correct me if I am wrong please. Thank you!
@benjaminchirwa5445
3 жыл бұрын
i think you are right
@nj-j7034
2 жыл бұрын
Since the question asked BETWEEN 4 and 7 years. We can only use the differences between the area less than 7 and the area less than 4 to calculate the answer. (7:00) I believe e^-0.8 is the amount greater than 4. It makes no sense of differences between (the area less that 7) and (the area greater than4). If I have any errors, please correct me. Thanks
@diegoamores9295
2 жыл бұрын
Was thinking the exact same thing...
@naturindasheilla5246
2 жыл бұрын
I also realised that mistake
@elvocool
Жыл бұрын
I get what you're saying but in his case what he did is correct.
Thank you so much! This was really helpful.
Statistics is very difficult and really confusing and too much information are given so please do explain the formula of getting lamda from the mean and also in one of your videos you calculate lamda=1/lamda ?? Is it 2/lamda or 1/mue ? Or mue=lamda time t ???
its has been an amazing lesson thank you
Hi, brother. I think you meant: Now, the rate parameter is going to be 1 over miu, not one over lambda
Great video, helped a lot, greetings from Sweden!
Another great video. Thank you. I was, however, hoping you would include an example question that involves the less than and equals sign or more than and equals sign. I thought that if we wanted to know the probability of a laptop lasting a week or more (which each event being a day), we could simply make x=8 and use the greater than sign but it doesn't seem to be right.
@TheCoKeys
4 жыл бұрын
Kinda late but just in case when the less than and equal or more than and equal signs are used in distributions that are continuous(i.e. not discrete) it is essentially irrelevant and it is calculated the same way as if it was just a regular bigger than or smaller than 'x'.
You have been a life saver dude
As always, you're the best. TY.
Hi for part (e) shouldn't x be Greater than 4 and less than 7, was that a mistake?
Amazing tutor video, only thing I feel like you should be following more "standard practice" that mathematicians use, like when you show us P(x
btw you can also calculate the area under the curve with integrals since we know the formula
YOU ARE A LIFE SAVEEEEEEER !!!!!!!!!!!
Can u make a video about integral problems in physics because that’s my first test in ap physics and I haven’t taken calc yet. Keep up the great work 👍
@saki7952
4 жыл бұрын
He already uploaded.
How are these videos so helpful!!!!
please what is the mean for the exponential distribution when theta is given instead of lambda?
THANK YOU SO MUCH! litterally about break sth over this stupid math problem
i dont understand why it was .20yrs ^-1 in the first problem
Hello, is it always stated that the problem will be of exponential distribution, and if not could you give an example of a problem? Thanks.
@henrykashyap8913
Жыл бұрын
Always coz there are many ways of distribution....
I believe you made a mistake towards the end because P (4
@mouinemhb4960
2 жыл бұрын
i know this is way too late but you forgot to put the 1- in the second part so shouldve been 1- e...
@rodyabd5355
2 жыл бұрын
@@mouinemhb4960 Late response. You don't need to put 1 in the second part, because, you are calculating (0-4) whereas in the first part you are calculating (7-inf). So, the (1 - ) is just to calcuate the compliance
clear and helpful
How can one proof that exponential distribution of independent variables can lead to poisson distribution?
Please is theta the same as lambda when given a question?
you save my life.
Love you! ❤️❤️
I have a doubt is that shoukdn't we be doing integration using the given years/time as limits?
Thank you very much !
But doesn't the problem say BETWEEN 4 and 7 years, meaning MORE than 4 and less than 7, not LESS then 4 and less than 7?
@stevencarrell83
4 жыл бұрын
That's what I worked out. So i'm hoping he made a small error on this and we are correct
@aavishkarsingh6719
4 жыл бұрын
Yeah, what's up with that ?
@khangelanimgqibelo3000
3 жыл бұрын
I thought it that way too, but if i am correct then that would mean the answer is 0,3041.
@reecej3228
3 жыл бұрын
7:00 he explains it here
wow that easy, thanks dude
i am from a top 30 university and I still think you are way better than my professor
I have a question concerning (E) You wrote that X is less than 4 I thought X should be greater than 4
Thank you for thi one!!!!
solid follower here
The income tax of man is exponentially distributed with f(x) = 1/3*e^(-x/3) ;x>0. what is the probability that his income will exceed rs. 17000? assume that the tax is levied at the rate of 15% on the income above rs. 15000.
Did he mean to say that lamba is defined as one over mu? Can somebody clarify? Thank you
@emiliocordova4948
4 жыл бұрын
yeah thats what he meant
THANK YOU
i have understood exponentially
you are the best I the world j g
I'm having trouble understanding the probability density function for the exponential distribution. What does it mean to say that the event at time=0 has a positive probabilty? I had thought that no event occurred at that time, so its probability should be zero. Why not?
@ryanjackson0x
2 жыл бұрын
Time=0 is when we started measuring. In this example I believe it is when all of the laptops are functioning properly, and as time progresses, they start failing with a rate given by the distribution function.
@larryschwartz478
2 жыл бұрын
Thanks very much for your reply. I had already looked into this further. My question to you was about the continuous exponential density function, although I had not mentioned it because I usually think in terms of continuous densities. I have discovered that for any continuous density P, P(X) = 0 for all X. I had never thought about this before. It reflects the fact that in a continuous density, X must be defined exactly. If X is, say, weight, and we ask what is the probability that someone's weight is 150 lbs., the continuous density will give that probability for exactly 150 lbs. However, no one weighs exactly 150 lbs. so P(150) = 0. But the probability of someone weighing between 150 lbs and 150.1 lbs can be obtained from the cumulative probability density of P. So, for a continuous exponential distribution, the probability of an event occurring at time=0 is really 0 because, literally, no event can really take place at time=0. But if we really mean the short interval between time=0 and time=30 seconds, then we can get the correct probability from the CDF. I learned a great deal from your video and the extended search it led me to. Thanks again, Larry Schwartz
are the formulas applicable whether the interval is inclusive or not?
@Peter_1986
Жыл бұрын
Yes, they should be applicable, because in this situation you are calculating continuous values, and one single specific value has a 0 chance of occurring, since it is one out of an infinite number of values. So "x ≤ a" and "x < a" would actually mean the same thing, since P(x = a) = 0.
1:00 its 1/MYU RIGHT
Thanks!
Thanks a lot
You are great
life saver
tnq man
I think P(4
Part c where x
5:07 shouldn't the func be 0.20e^-(0.20X) missing 0.20 only e^-(0.20X)
@PJURALszymon
3 жыл бұрын
true!
@frankbarboza
3 жыл бұрын
No, because at around 5:07 he is calculating the area to the right of 10. This is different from F(x) which gives us only the height above the curve but not the area; two different calculations.
@teja1853
3 жыл бұрын
@@frankbarboza I am still confused. The PDF calculated here is: 0.20e^-(0.20X). But to calculate the probabilities, the equation used is: e^-(0.20X). Can someone explain me this?
@frankbarboza
3 жыл бұрын
@@teja1853 The PDF is used to calculate a single point (height) above the curve. When X is 0, the height above the curve is 0.20; when X is 10, the height above the curve is 0.02706 (I just substituted 10 for X in the equation you typed in your reply). The CDF is used to calculate the probability (the area). When calculating the area to the right of a critical point, use e^(-lambda multiplied by X); when calculating the area to the left of a critical point, use 1 minus e^(-lambda multiplied by X).
@teja1853
3 жыл бұрын
@@frankbarboza Thanks for explaining! I understand it now
Why are you saying y/lamda but where did you get what lambda = to?
@ryanjackson0x
2 жыл бұрын
Lambda = 1/mu (mu=the mean)
I think there is no correction for the question between 4 and 7 years. Knowing that the area of P(4
@harukiii2005
Ай бұрын
This is just something I've noticed from the comment section (I know it's very late to point this out)
Thanks
The last part is it not supposed to be x>4 instead x being less
gud explanation
Is it right to do P(47)?
At the beginning of the video, you say the rate parameter is the reciprocal of itself instead of the reciprocal of the average life.
Amazing!
in last answer you have written x
@li_themizfit_il
Жыл бұрын
yeah he made a mistake
againnn u da bestttt
if no one got me, i know the OCT got me
bro there's a mistake in 1:04....lambda=1/mean....you wrote it as lambda=1/lambda....please see to it
What is P(X=x)?
@ryanjackson0x
2 жыл бұрын
For any continuous random variable, 0.
@davidsling
8 ай бұрын
u cant get exactly one point cuz it use continuouse varibale that same for any continuouse nummer like P{X=3.32542623}=0
Less than 3 is from 0 to 2 isn't it?🧐
@harukiii2005
Ай бұрын
In this type of situation P(x
Fantastic
bravo!
I found 20.28 on e, I might be lucky
but x is greater than 4
X is greater than 4 not less than in the question and less than 7. I think u make mistake?
@li_themizfit_il
Жыл бұрын
he did
@TIGCHTIGCHEROWSKYY
Жыл бұрын
its all good, he changed the way you think about X
thanks :)
i love u bro
You can just do P(x>4)-P(x>7)