Marginal PDF from Joint PDF

Example problem on how to find the marginal probability density function from a joint probability density function.

Thanks for watching!! ❤️

Tip Jar 👉🏻👈🏻

♫ Eric Skiff - Chibi Ninja

[drsweet]

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

[manzidelick]

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

[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

[alwaystoyou]

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

[PunmasterSTP]

This was an amazing video!

Also, thanks for the...support 😎

[seo-insights]

Thank you so much. Cleared all my doubts

[muhdhazimbinnordin]

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

[TheChosnOne]

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

[babysharkft]

thank you so much. your videos are amazing

[ashleychisakuta]

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

[ahmettarhan]

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

[analisecritica]

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

[analisecritica]

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

[muhammadfirghi]

what happens if the support is dependent? for example with the range of 0<=x<=y<=1

[amritanshu]

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

[kaiyuansaw]

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

[miaboruto]

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

[jannce]

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

[omarmohammed]

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