Probability Distribution Functions (PMF, PDF, CDF)

"you cant roll a 7 on any dice I've seen" I see someone who has never played D&D before . Thank for the video btw.

Is the cdf grapgh of a pdf always an s shaped curve?

Exponential distribution (CDF looks exponential) is a common way to model reliability. If I would now do some Monte Carlo simulation with inverse transform sampling so that I got a group of failure times as an output, do I already see the outcome from that plotted PDF i.e. the higher the Y-axis value peak the more failure times around that time (X-axis) I would expect? The PDF of that exponential function is a decreasing curve but the hazard rate is constant. Why do we call that memoryless (yes, the hazard is constant) even though we would get more failure time values according to the PDF in the beginning (because it looks to be a decreasing curve)?

Great video. Thank you very much!!

amazing video!

How can a pdf be greater than 1 ?

I have been searching for hours and I am so glad I found your video. Best explanation of PDF, PMF and CDF hands down.

What is meant by saying continuous probability distributions cannot take a specific value but takes values between interval?

These are just so good. Thank you so much!

Thank you very much 👏

excellent explanation, thank you!

sir/guys for a random variable how the probabilities are calculated and how the graph is plot can u please explain or provide any link to refer for good explanation iam confused 🤧

thank you so much for the wonderful explanation, the visuals sure made the concept easier to understand

so elegant, so beautiful , just looking like a wow....

This video helped a lot, thanks for all the effrort you have put to this video and this explanation is way better than most teachers. Thanks again, and have a great day.

Excellent Information and a great way of explaining things

This was oddly relaxing. Like watching Rembrandt paint.

Thank you so much, you solved my basic queries :)

explained it so well, thank you so much

Damn!!
Thanks man

So usefull, thank you so much for this gem

thanks sir, great explanation.

Just the perfect video I was looking for regarding PDF & CDF

YOU ARE THE BEST! I am following you fron Austria and you have saved me so much time through this great video. I'll make sure I buy you a beer or two when I go to visit a friend in OZ next year. Thank you, thank you, thank you!

Thanks for the video. I was looking up PDFs to understand Maxwell's velocity distribution & this really helped!

Amazing!! As smoothly and simply explained as possible

Beautiful explanation, I was really confused with this.. not anymore!

Insane
Thanks you

got my subscribe, thank you so much for explaining this so intuitively

Thats was really clear and helpful, thank you so much ❤❤❤❤❤❤❤

So good! Thank you so much!

much appreciated the effort in making this beautiful piece of art

Thank you so much for this precise yet concise explanation. It was really helpful!

superb explanation !!!, just got wonderful feel of distribution

Goat

you did what my prof tried to teach in a month

YOU ARE JUST THE BEST AT EXPLAINING THIS! Please continue!

GREAT EXPLANATION. THANKS A LOT!

thanks so much, that was a great video

Thank you for making this video! The best I’ve seen on PDF, CDF. That last bit was pure gold 👏

This is brilliant! Thank you!!!!

You helped me understand a 1000x more than my professor ever could. Thank you so much.

I finally understood it. Amazing! Thank you thank you thank you!

Wonderful video. Thank you!

Thank you for nice and simple explanation.

Thanks!

Thank you for the video
Sir . Can you explain about random number and random variable

Very grateful for your videos nice visuals and content . Subscribed