Marginal PDF from Joint PDF

Example problem on how to find the marginal probability density function from a joint probability density function.
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[@wrestlingscience]

please don't skip steps like at 4:23. the point of us watching is to see how you do it. otherwise good video thanks

[@drsweet8083]

thank you very much , i have an exam in 40 min this video was really helped me in my problems :D

[@drsweet8083]

Exactly very similar question asked by our professor in exam and i just do it in 10 seconds thank you very much

[@watasn5081]

For more solved question on the Joint Probability Density function click on the link below: drive.google.com/file/d/1sEylHsFaX6aHTWjiCKaBqwaLcnfG0A7X/view?usp=sharing

[@stevefirsake899]

@@watasn5081 Hi, does anyone know how she solved the double integral part? When I do, I remain with terms yet her answer is a constant value. Any reference to a topic, I looked up double integral calculation and the answers also have terms for example using this calculator website: www.symbolab.com/solver/double-integrals-calculator/%5Cfrac%7B1%7D%7B6%7D%5Cint_%7By%7D%5E%7B1%7D%5Cint_%7Bx%7D%5E%7B3%7D%20%5Cleft(x%2By%5Cright)dydx

[@abhishekmore2750]

Good luck

[@PunmasterSTP]

How'd your test go?

[@TheChos3nOne]

3^2 is 9 so 9/12 + ((1^2)/12) would be 10/12

[@manzidelick2752]

This is so amazing, and simplified, I hope you include numerical analysis tutorials too

[@kalamuwilliam8840]

Should have explained part c

[@PunmasterSTP]

This was an amazing video! Also, thanks for the...support 😎

[@analisecritica8722]

why is the area of ​​the triangle 1/12?

[@ashleychisakuta1030]

On part b....when integrating wrt y how is it cy/2 +cy^2/2 and not c/2 +cy^2/2????

[@reoko1971]

thanks god for this video

[@ahmettarhan1870]

in part c, you draw a line from origin to vertical line of support and you said this point is (1,1). But when that point is (1,1), area under triangle becomes 1/2. I did not understand that part

[@stertheder]

Yes, but to normalize the function (Make it a valid PDF as we did in part b) we found C to be equal to 1/6. So your integral for the triangle area = 1/2 must also be multiplied by C to scale it properly. 1/2 * 1/6 = 1/12.

[@omarmohammed9938]

All stats lectures talk to fast and don’t show the full steps of how they get there answers

[@jannce2474]

Thank you! But excuse me, are you a teacher? or an student?

[@muhdhazimbinnordin7118]

can you explain more on how to get the support for the marginal density function?

[@alwaystoyou123]

You are amazing. Hope you post more stuff on statistics.

[@asitgaikwad9294]

brilliant explanation

[@TheChos3nOne]

I got 10/12? How did you get 11/12

[@babysharkft5768]

thank you so much. your videos are amazing

[@genesiomwenda2677]

this lady is good

[@namanprasad2477]

Thanks for the help ❤

[@miaboruto7091]

Let 𝑋1, 𝑋2 𝑖𝑖𝑑 ~ 𝒳2 2 ≡ 𝑒𝑥𝑝 2 Find the joint p.d.f. of 𝑌1𝑎𝑛𝑑 𝑌2 Where, 𝑌1 = 1 2 𝑋1 − 𝑋2 𝑌2 = 𝑋2 And find the marginal p.d.f. of 𝑌1

[@saifkhaled3301]

Great explanation! thank you.

[@kalamuwilliam8840]

Got lost from part c

[@trolltoll440]

"Its a very nice" -Borat

[@amritanshu1402]

In part c why the limit is from x to 3 and not 0 to 3 ?

[@mathetal]

For dy, you're integrating from the bottom to the top. So the top portion is just y = 3, but the bottom portion is y = x to account for the diagonal line shown in the support.

[@amritanshu1402]

Thanks :)

[@vadzsz6810]

You're an amazing person

[@harrishassan2659]

simple but great explanation. Thank u

[@LeoHickey]

Super helpful.

[@analisecritica8722]

In the letter c, why did you use the range from x to 3? wouldn't it be 0 to 3?

[@seo-insights]

Thank you so much. Cleared all my doubts

[@kaiyuansaw3302]

sorry but why is the area of shaded region for question (c)?

[@nikkrause3248]

Very helpful thanks!!

[@tomyradio8370]

thank you.

[@muhammadfirghi5009]

what happens if the support is dependent? for example with the range of 0

[@danielszewczyk4955]

I LOVE YOU

[@TheChos3nOne]

Nvm my questions I integrated wrong😂

[@puh4532]

i hate math, yet I study CS

[@rajbirvirdi4571]

YOU. ARE. A.BABE.

[@BrianStielder]

Sweet voice

[@marcogelsomini7655]

jezz that voice!!