MA 381: Section 8.1: Joint Probability Density Functions

A lecture with examples for joint probability density functions.

[jeffreystewart]

3 hrs of struggle, and this video uses 30 sec to make joke of my life. 30 sec from this video is all i need.

[barulli]

perfect logical explanation, I wish all of my teachers explained this clearly!!

[daisyscourse]

Thank you so much. You are truly a life saver. I have a deadline in 15 hours but I have no idea how to do it, nor that I have a single clue from my book. But you saved me, now I understand how to choose my bound from the picture of my support. Thank you!

[ram_]

This video is crystal clear.Thank you for clearing my confusion.

[akhishesh]

you are a great professor, thank you!

[medolab-en]

In example 4 why is that you didnt make use of lower limit of y=0 and upper limit of y=1 while calculating the value of k whereas range of 0 to 1 was used for x?

[KittyKode]

it helped me a lot(3 hours before the exam:)), thank you so much

[brentont_m]

I still don't understand how to determine the ranges for x and y and why they change when calculating marginal pdfs and when calculating expectation 😢

[enessgok]

k/8 = 1/2 isn't it? Because The value of our area is 1/2. Could you please explain it ?
Thank you so much for this helpful video

[Rayyanniiii]

Really helpful! Thank you!!

Could you please explain explain the following questions...

P(X=x, Y=y)= c(xy+x+1)

where x=0, 1, 2 and y=0, 1. no other values are possible.


(a) show that c= 1/15 makes this a valid probability distribution.

(b) find the marginal distribution of X and also E (X).

(c) find the conditional distribution of X given that Y=1 and evaluate it's mean.

[junl]

Thank you for posting good lectures. It helps me a lot. btw, Click "don't show this message again"!!!

[waleedahmed]

In the marginal of y
How you have taken the limits fom y to 1

[al-anoud-]

Thank you so much this is very helpful

[alikasim]

thank u very much for poSting thiS video..

[visarbedzeti]

i dont get it...why didnt you do the additional part...i wasted 9:51 waiting for that part

[mohanperumal]

Thanks for your lecture. Could you please explain me for the following function. Find the value of k for the function f(x, y)=kxy^2 if 0≦x≦y≦1

[danielatkinson]

Anyone else try to close out the window at 1:11 thinking it was their computer?

[coryelizabethbazzle]

If you could slow down just a little it would be super helpful! I guess you are limited to a 10-minute video...