Uploaded February 2026 | Updated September 2026, 2 hours ago
In this lecture-style video, I discuss properties of continuous probability distributions in general, and then the uniform distribution as an example. (Pitched at the level of an applied intro stats course at university.) I briefly touch on the calculus concepts along the way, and include the appropriate integrals, but this is for completeness and I don't require students in my applied stats courses to carry out any calculus.
This is a full lecture for my STAT I course, where I work through my lecture outline document (a condensed version of my full textbook chapter on continuous probability distributions). My students have these documents.
(In the coming year, I'll be releasing additional shorter videos on specific topics in statistics, along with more of these lecture-style videos.)
In this lecture-style video, I discuss properties of continuous probability distributions in general, and then the uniform distribution as an example. (Pitched at the level of an applied intro stats course at university.) I briefly touch on the calculus concepts along the way, and include the appropriate integrals, but this is for completeness and I don't require students in my applied stats courses to carry out any calculus.
This is a full lecture for my STAT I course, where I work through my lecture outline document (a condensed version of my full textbook chapter on continuous probability distributions). My students have these documents.
(In the coming year, I'll be releasing additional shorter videos on specific topics in statistics, along with more of these lecture-style videos.)









![Finding the Appropriate z Value for the Confidence Interval Formula (Using a Table)
I show how to find the appropriate z value (using the standard normal table) when calculating a confidence interval. The version of the table used in this video gives the area to the left of the z value (and not the area between 0 and z).
For those that use R, below is the R code to find the values (see the video for illustrations).
z value for a 95% interval:
qnorm(.975)
[1] 1.959964
z value for a 75% interval:
qnorm(.875)
[1] 1.150349 Finding the Appropriate z Value for the Confidence Interval Formula (Using a Table)](https://i.ytimg.com/vi/grodoLzThy4/mqdefault.jpg)
