Feedback | SoME

Viewing the probability of a singular outcome with positive density as greater than zero and why it matters

My take on the probability of singular outcomes with positive density. I am aware there are several errors in what I said and wrote. The part at 11:53, I meant that f(x) to be x squared, so that integrating k times x squared from 1 to 4 and setting it equal to one would give us a pdf. At 12:58, when I said the denominator is 1, I meant for the k times x squared function, for the appropriate value of k. Also, when I'm talking about the probability of x being between 2 and 3 on the continuum, the f(x) dotted lines in that range were supposed to look red. It seems like increasing the brightness of the video made the dotted lines appear black, which was not my intent. This is my entry for the Summer of Math Exposition 4, but unfortunately I ran short on time. Although I feel that this can be understood without first year college courses in Calculus and Probability, having a background in said courses will make the video even easier to understand.

Analytics

2.93 Overall score*

137 Rank

6 Votes

3 Comments

Comments

2.7

I think the video is a great lesson and if given in front of a class I'm sure the message would be taught. However when it comes to the summer of maths exposition, the packaging up of a video is extremely important. The first question when reading the title is "why should I care" and I feel going into this the premise was already extremely niche and unmotivated. Yes, the video does answer the question but when it comes to making a video, the pacing and way that information is communicated clearly and concisely is important. My overall judgement is that there is a question which was asked and answered successfully by the video but there's a lack of utilisation of the video medium to help with the idea and vision of what was intended to be communicated.

I'm going to have to be your dreaded R2 here, but I will leave as much feedback for you as possible and I'd love to see better videos in the future. Criteria: Motivation: It should be clear by the end of the introduction why one should care. - your introduction, even including die example is a little lacking in providing motivation for the viewer. I think your lab examples at the end could be hinted at the beginning to provide a better hook in the introduction - There are many other examples as well that I'm sure you could think of Clarity: Jargon should be explained, the goals of the lesson should be understandable with minimal background, and the submission should generally display empathy for people unfamiliar with the topic. - While I do think you provide a somewhat decipherable video for someone with minimal background, I think there many parts which you gloss over while overfocusing on some common tropes. - for example, at the beginning you jump into the PMF graph with a very minimal explanation of what you are doing, as well as the transition into the PDF graph. I would prefer something like a comparison to a bar chart for the PMF, and then quickly (1 or 2 sentences maybe) explain discrete vs continuous for transitioning to PDFs. - around 14:00, you also delve into integrals a bit much. While I can understand that calculus can often be abstract for newcomers, it is not the focus of the video and I think you could have summarized it much shorter. - additionally, I think it would have been helpful to use the symbols for combinatorics that you introduced ( (n,k) where the n is above k ) particularly for the slide at 18:54, the long equation is difficult to comprehend even for someone well versed in statistics, and using this terminology would not only be simple to teach but greatly help readibility and brevity of the whole video (use some LaTeX! overleaf is great for this stuff if you aren't familiar with more traditional LaTeX systems) Novelty: It doesn't necessarily have to be an original idea or original topic, but it should offer someone an experience they might otherwise not have by searching around online. Some of the greatest value comes from covering common topics in better ways. Other times there's value in surfacing otherwise obscure ideas which more people should know about. - Your topic is quite common for first year statistics courses, but that doesn't mean you couldn't explore it further. Overall, I think the lab example at the end could have provided some avenue for more novelty which you could have explored Memorability: Something should make the piece easy to remember even several months later. Maybe it's the beauty of the presentation, the enthusiasm of the presenter, or the mind-blowingness of an aha moment. - I do feel that your presentation style is a bit dry and slow paced, which Is unfortunately quite a common issue many people have, so dont feel too bad. - it does feel a little bit like some of the recorded covid lectures I've had to watch - I know enthusiasm can be hard to project by voice if you are shy, trust me, I feel the same. However, It would do a lot for your video if you could improve on this Overall Comments / notes for the future - I think what I would do to improve your video is to make Part 3 the main focus of the video - start from a general prespective and provide some motivation for discerning some result - then, as you come across certain topics like integration and combinatorics, do a quick summary and possibly branch out a bit before returning to the task at hand, sort of like what you did at 14:00 Thats all! I hope I wasn't too harsh, I know you haven't had much time so there will be much you could improve on easily in the future.

2.9

The writing is barely visible at the end.