Probability Exponential Distribution Problems

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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
___________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

Опубликовано:

13 сен 2019

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Комментарии : 178

@TheOrganicChemistryTutor Год назад

Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-CjF_yQ2N638.html Final Exams and Video Playlists: www.video-tutor.net/

@abdullahbabor4876 4 года назад

"Thanks again for watching" I mean why?? Thank you, Professor!!!!!!! We all truly appreciate you and your time!

@mohammednayel8405 4 года назад

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 года назад

AGREED! ❤️❤️❤️🙏

@saki7952 4 года назад

True.

@harshparekh16 2 года назад

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 Год назад

I think you intended to say ‘incredible’ and not ‘incomprehensible’.

@rosegold7283 Год назад

@@ktiwari31 no they meant what they meant as in its so shocking its hard to understand how he does it

@rohithlohith9495 9 месяцев назад

NO THEY MEANT IT AS ITS SO HARD TO UNDERSTAND WHY THEY WOULD GIVE THIS INFO FOR FREE@@ktiwari31

@ktiwari31 Год назад

In first minute lambda = 1/mu you have made a typo there.

@Tlion2102 Год назад

was gonna say, thanks!

@pedrogaleano6722 3 года назад

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!

@reena3571 Год назад

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!

@aravindssingapore4327 4 года назад

This video on exponential distributions has caused my knowledge on exponential distributions grow exponentially. Thank you 🙏🙏🙏🧬🍻

@fatimaalromaithi3147 3 года назад

Amazing lesson! thank you! I found a difficulty in the material but you made it really easy!

@travelingbutterfly4981 2 года назад

U r the best RU-vid channel for learning. Ican find any videos I search for in your channel.u r Really great

@vford1000 4 года назад

Another Great Video, you explain things so well that's easy to understand!

@dorcaskaunda9016 3 года назад

Simple and straight forward,u have made my life so simple in med school 🙏thank you

@Tnz_ira200 2 года назад

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 месяца назад

pretty sure this is statistics man

@Tangawizii 4 года назад

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 года назад

Of course, the teacher has made a mistake. But it is up to the student to correct the mistake himself.

@Nova-Rift 4 года назад

@@chinchang5117 wrong

@leothompson6397 3 года назад

@@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 года назад

@@chinchang5117 u got finessed

@melonmelonmelon8422 3 года назад

@@chinchang5117 I am surprised that no one said anything about his username? so Disrespectful

@li_themizfit_il Год назад

btw its x is greater than 4, not x is less than 4

@imaneboualam6000 4 года назад

You have been so helpful every time I feel a struggle. But today I am here just to hear your voice.

@naveedvelani3102 4 года назад

get a life

@RafiqulIslam-un9zp 10 месяцев назад

You're really good at explaining things easily. Keep up the good word.

@xruan6582 3 года назад

Clear and concise, despite of tiny mistake at the beginning

@moodyxx12 3 года назад

What would I do without this man🥺🥺🥺

@user-qm5iz5tu5c 7 месяцев назад

Another helpful video, very excited for my Statistics test.

@duongminh1972able 2 года назад

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.

@freeandeasy9795 2 года назад

Clearly explained. Well done, and thank you!

@NK-iy6if 2 года назад

God bless you, Thank God for leading me to your channel. Thank you for the videos

@sayemshah7520 Год назад

Why is there 1- in (1-e)

@rajmrinal961 3 года назад

The last question where 4 < x < 7. I guess there is a small mistake in the equation. It should be e^(-0.8) instead of 1 - e^(-0.8). Since x is supposed to be greater than 4 and less than 7. Correct me if I am wrong please. Thank you!

@benjaminchirwa5445 3 года назад

i think you are right

@nj-j7034 2 года назад

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 года назад

Was thinking the exact same thing...

@naturindasheilla5246 2 года назад

I also realised that mistake

@elvocool Год назад

I get what you're saying but in his case what he did is correct.

@aravindssingapore4327 4 года назад

Hi, brother. I think you meant: Now, the rate parameter is going to be 1 over miu, not one over lambda

@guymondgopolang8894 4 года назад

You never disappoint. Thank you

@ephraimacksonmumba14 Год назад

thank you so much and i rate you all the stars in the galaxy and universe at large you are the best.

@hcapppp 2 года назад

Great video, helped a lot, greetings from Sweden!

@uavidavida7633 Год назад

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.

@halasentissi Месяц назад

YOU ARE A LIFE SAVEEEEEEER !!!!!!!!!!!

@josephlumpa5015 10 месяцев назад

Thank you so much Sir, you have really helped me in studies.

@amyeskelsen8237 3 года назад

Thank you so much! This was really helpful.

@aishaabdi891 3 года назад

its has been an amazing lesson thank you

@reamabdulsalam524 Год назад

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

@lamecksigauke4595 2 года назад

You have been a life saver dude

@husseinalhadi5471 11 месяцев назад

Hi for part (e) shouldn't x be Greater than 4 and less than 7, was that a mistake?

@reamabdulsalam524 Год назад

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 ???

@MindMathMoney 4 года назад

Love you! ❤️❤️

@morganolivianewton8061 11 месяцев назад

As always, you're the best. TY.

@emadharazi5044 4 года назад

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 года назад

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'.

@Lolsade6 4 года назад

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 года назад

He already uploaded.

@dmitrikorin3033 4 года назад

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

@lambertothieno3386 2 года назад

How are these videos so helpful!!!!

@austinbaum1753 3 года назад

THANK YOU SO MUCH! litterally about break sth over this stupid math problem

@tinakwok7600 2 года назад

you save my life.

@zhou6075 2 года назад

clear and helpful

@dimitriysevryukov1629 Год назад

Thank you very much !

@wispeidolon3422 3 года назад

btw you can also calculate the area under the curve with integrals since we know the formula

@khemramneega5901 2 года назад

wow that easy, thanks dude

@masterara9361 4 года назад

solid follower here

@noworries838 3 года назад

life saver

@astropeanutcat1953 2 года назад

Thank you for thi one!!!!

@luanfigueiredo7283 3 месяца назад

THANK YOU

@easonsun4030 3 года назад

i am from a top 30 university and I still think you are way better than my professor

@Abdelrahman_Hosny 2 года назад

Thanks a lot

@morganolivianewton8061 11 месяцев назад

Thanks!

@umairfarooq7557 3 года назад

I believe you made a mistake towards the end because P (4

@mouinemhb4960 2 года назад

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 года назад

@@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

@sandramanyarkiy751 4 года назад

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 Год назад

Always coz there are many ways of distribution....

@bikitachapters.kudzaichika4863 4 месяца назад

You are great

@tatianaletourneau602 4 года назад

againnn u da bestttt

@tau1650 4 года назад

you are the best I the world j g

@franciscaaidoo5095 5 месяцев назад

please what is the mean for the exponential distribution when theta is given instead of lambda?

@mystique973 10 месяцев назад

gud explanation

@danigain829 2 года назад

tnq man

@BH-he3wg Год назад

i dont understand why it was .20yrs ^-1 in the first problem

@franciscaaidoo5095 5 месяцев назад

Please is theta the same as lambda when given a question?

@Maharrami 2 года назад

Amazing!

@yuratea1700 4 года назад

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 года назад

That's what I worked out. So i'm hoping he made a small error on this and we are correct

@aavishkarsingh6719 4 года назад

Yeah, what's up with that ?

@khangelanimgqibelo3000 3 года назад

I thought it that way too, but if i am correct then that would mean the answer is 0,3041.

@reecej3228 3 года назад

7:00 he explains it here

@kayodeashaolu7036 3 года назад

Thanks

@shruthilayak4988 3 месяца назад

I have a doubt is that shoukdn't we be doing integration using the given years/time as limits?

@joachimnyirongo1627 2 года назад

How can one proof that exponential distribution of independent variables can lead to poisson distribution?

@maliamungubenard1896 2 года назад

i have understood exponentially

@claudiamesaaparicio8517 4 года назад

bravo!

@coulie27 3 года назад

Fantastic

@keldonchase4492 4 года назад

Did he mean to say that lamba is defined as one over mu? Can somebody clarify? Thank you

@emiliocordova4948 4 года назад

yeah thats what he meant

@nmesomiladyobi5825 5 месяцев назад

I have a question concerning (E) You wrote that X is less than 4 I thought X should be greater than 4

@A_k_h_i_l_007 Год назад

1:00 its 1/MYU RIGHT

@Ppooh002 Год назад

are the formulas applicable whether the interval is inclusive or not?

@Peter_1986 Год назад

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.

@larryschwartz478 2 года назад

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 года назад

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 года назад

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

@santiagotrujillo6253 2 года назад

thanks :)

@maryamaishanyc7449 4 года назад

Why are you saying y/lamda but where did you get what lambda = to?

@ryanjackson0x 2 года назад

Lambda = 1/mu (mu=the mean)

@dr.pravinvadhel4183 3 года назад

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.

@sam-gu6rv 4 года назад

i love u bro

@vaibhavgiria5997 3 года назад

5:07 shouldn't the func be 0.20e^-(0.20X) missing 0.20 only e^-(0.20X)

@PJURALszymon 3 года назад

true!

@frankbarboza 3 года назад

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 года назад

@@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 года назад

@@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 года назад

@@frankbarboza Thanks for explaining! I understand it now