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

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.

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!

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

you are a great professor, thank you!

Thank you, very straight forward!

thank you so much for this.

Excellent explanation!

Thank you so much this is very helpful

Thank you for your teaching

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?

This is great

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

thank you so much

it was helpful . thankyou so much..

thank you

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

Thank you

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thank u very much for poSting thiS video..

what is the name of this book?

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.

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

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

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

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

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

I still don't understand😥

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