The Difference Between Poisson and Exponential Distributions

This video was made to answer a students question, "What is the difference between the Poisson Distribution and Exponential Distribution, and how do I know which one to use?" Great question Danielle! Hope this helps.

[@crystaldmello]

You just saved my life with this explanation my current professor makes things so complicated 😂

[@lignodrenful]

I just spent a lot of time thinking about why lambda is 2 in this problem. I could agree intuitively, but the explanation wasn't working with how I'd defined/understood variables. So, I'm going to share this note without rambling more about my confusion. Lambda is 2 because (20 min)*(6 problems / 60 minutes) = 2 problems in the redefined interval (and also happens to be the number asked for in the question). We redefined lambda (the number of events) according to a smaller subinterval, given what we were told about the mean of the distribution on the interval of an hour. This complies with a part of the definition of the Poisson: The probability of one count in a subinterval is the same for all subintervals and proportional to the length of the subinterval. And, this also helped me: If a Poisson random variable represents the number of counts in some interval, the mean of the random variable must equal the expected number of counts in the same length of interval.

[@Bam-adismedia]

Y

[@winfredamazvidza3132]

thank you! I was so confused before! You made it very clear!!!

[@arwaabougharib8698]

That was an amazing and clear explanation! Thanks so much

[@taiebbenthabet2155]

Very informative video! Greatly helped me understand the nuance between both! Thank you and keep up the good work :)

[@sankarshanmridha]

Excellent explanation. Thanks for showing the Poisson view and Exponential view side by side with same example setup.

[@MrStevansunny]

You couldn't have made this more easier. Thank you Wendy!

[@leandr0garcia]

The sound is even more amazing!... Using headset, it was a 3D experience sound! ... and yes, the explanation is pretty clear!

[@AA-rs8pp]

Thank you Ms. Wendy for the very clear explanation!

[@mk9834]

Very well explained!!! Appreciate your effort!!!

[@zeeshanmasood9355]

very clear explanation. Thank you!!!

[@aidanakaripbayeva8634]

Thank you! I finally understood the difference between these distributions :)

[@subhamshit2144]

Thank you! It really helped me to discriminate between the solution processes of Poisson & Exponential Distribution Problems.

[@YYZ722]

Thanks this video is great it helps me a lot on the coming test!

[@danvithana95]

Perfect. I didnt even swich on the sound. Sketches tells everything

[@onurd2195]

you're real hero, thanks!

[@Sara-om3fe]

thank you for this. this was very helpful!

[@attaullahktk7277]

u explained it in a very simple way .keep up the good work❤

[@KGfess]

Amazing video. Thank you!

[@nischalsubedi9432]

great explaination. Thanks!

[@jaquelinemoreira7385]

Excellent explanation! thank you very much :D

[@Lucas-wj8mg]

Great video, even after six years!

[@KidsComic111]

Thank you... nice explanation

[@ylazerson]

Great video - thanks!

[@griffithkim6841]

Wow. Thank you sir.

[@urp8916]

Thank you from India

[@yukewang1832]

Thank you youtube for this degree

[@mrpotato2027]

Thank you so much

[@saurabhtalele1537]

nicely explained

[@ashw730]

Thank you...

[@mansikumari4954]

Thanks ♥️

[@stevenrathburn2018]

Jump scare at 6:55! 😱 😂

[@alexanderchurney2289]

Saw your comment, still didn't expect it. 😂

[@teegnas]

@@alexanderchurney2289 I ended up doing the same even after reading both of your comment ... lol!

[@RohitSingh-go9kc]

thank you.... so basically in poisson we decide our unit as per requirement... here we took 20minutes = 1 unit.... and for exponential we keep unit as it is ?? does this make sense... did i understand or i messed up somewhere?

[@HyperWubTV]

thanks

[@benjaminharris8354]

very nicely explained. thank you so much for the video! i just have a question... when we're dealing w Poission, why do we exclude the upper number when we're dealing with inequalties like P(X< 2)? why do we exclude the 2? I've seen this happen in my workbook as well and it's been confusing me. i find it strange because even in this one example I saw elsewhere, even with an inequality like P(X

[@ozkaninonlu2898]

P(X

[@clhe3375]

for exponential distribution, shouldnt the lambda be 1/6? Since 6 homework per hour is the average?

[@wendyarnold9525]

Great Question! Since the question concerns probability in terms of minutes, we want to have lambda in terms of minutes. In other words, we want problems per minute.

[@mikejon6624]

Bless up Wendy

[@samanthaolga1]

thank u

[@dydx3741]

Those 4 dislikers must be Art students

[@pimvanolffen]

Legend

[@sibghapari623]

Wowwww nice❤️❤️❤️❤️❤️❤️❤️

[@sandhu22GI]

AMU Homework discussion forum 4 Stochastic Processes

[@kaplanmelis]

Please keep going to probability videossss : ' (

[@Adam-gp3ij]

since lambda 2/20 why you used 2 ! do we need to divide it first to convert it into minutes

[@wendyarnold9525]

Lambda = 2 ; the unit is 20 minutes. We get 2! when we substitute 2 into the formula. Does that make sense?

[@BADDIE681]

Mrs Arnold?

[@joeysmith7021]

If exponential if x is greater than x than you need to multiply the formula by 1/lambda

[@wendyarnold9525]

Hi Joey, I am not sure I understand your comment. P(X>x) = 1 - P(X

[@scarlykyn7016]

With the Poisson distribution how do you get 40.06% Because surely if you divide by 0 factorial it's invalid? Do we just take it to be 1?

[@wendyarnold9525]

Yes. 0! = 1

[@alkhazraji7482]

Zero factorial = 1.

[@bapu78]

run at 2x

[@sagniksahana4113]

so less sound!!!!!