The Normal Approximation to the Binomial Distribution

An introduction to the normal approximation to the binomial distribution. I discuss a guideline for when the normal approximation is reasonable, and the continuity correction. I work through examples of greater than, greater than or equal to, less than, and less than or equal to, and include plots that may help students to visualize the concepts. I assume that viewers are already familiar with finding values under the standard normal curve.

[jbstatistics]

Thanks! You can't steal my voice, but maybe with a little practice you can get a reasonable approximation!

[mike]

You're amazing. In a little over 14 minutes I've learned more than I have through out my stats summer class (which I've been in for nearly 6 weeks). Thank you so much!!

[galaxytasty]

lol your voice keeps me entertained and the lessons are awesome. I do like your teaching methods and everything seems crystal clear now so thank you !!!

[jbstatistics]

You'd use the continuity correction on both sides (P(n - 0.5 < X < n + 0.5), and standardize). I don't discuss that because it would typically be much easier to just use the binomial formula in that spot (and get the exact answer).

[avatar]

7 years later. You helped me in undergrad and you're still spelling things out for me in grad school hahaha

[leonellg]

This makes so much sense now! Such a clear and intuitive explanation. I wish I could press that like button more than once

[thesonicyipee]

Your videos man... they really are helpful when your prof isn't good. Thanks man!!!!

[t.little]

I was befuddled and feeling pretty lost (defeated, hopeless, ready to just QUIT) before I stumbled on your channel. Thank you so much for this video. Truly.

[yourilohuis]

Thank you so much! You're the first guy that could explain the continuity correction in a very easy way to me.

[kevinsha]

Your series is so far the best stats tutoring series I have ever seen. Really appreciate it. Makes life so easy

[adnanmohamed]

After reading the related chapter in the book, watching your videos is giving a great insight on the formulas and what they actually mean. You are explaining while others regurgitating!

Thank you!

[beezball]

i'm taking probability II in the fall, this is clarifying everything from the first class so well and I love it

teacher never explained how the pmf of the binomial distribution is symmetric and similar shaped to the bell curve with large n and p clost to .5

[jbstatistics]

Thanks for the compliment! I'm glad you find my videos helpful.

[RS-hsni]

A good teacher is always someone who can teach the subject clearly. And thats a skill. You have mastered that skill. Thank you for saving my time.🎉❤

[jerrybrett]

You are doing such a good thing for so many people. Such professional videos, well explained concepts, voice is great and super engaging. This is really saving me. Thank you mate.

[juniordover]

Your videos are very elucidative. What was formerly murky are now Crystal Clear, or atleast feels that way...

[jbstatistics]

The area to the right of 1.65 under the standard normal curve is 0.0495. (There's a small typo at that point in the video, as the z value should be 1.65 and not 1.645.) The area to the left of -1.65 is also 0.0495, and I'm guessing that's what you're looking at in the table.

[PBJYM]

I got a Stats Midterm Tomorrow. You videos are legendary!!! Thank you!!!

[jbstatistics]

You are very welcome, and I'm glad to hear you found my video useful. Thanks for the kind words, and best of luck on your exam!

[jbstatistics]

I'm sure my students say that about me sometimes! I'm glad you found my video helpful. Cheers.