This calculus video tutorial provides a basic introduction into normal distribution and probability. It explains how to solve normal distribution problems using a simple chart and using calculus by evaluating the definite integral of the probability density function for a bell shaped curve or normal distribution curve. This video contains 1 practice problem in the form of a word problem with many parts giving you plenty of examples to master this topic. In this video, I explain how to evaluate the definite integral using wolfram's alpha online calculator for definite integrals. You need to determine the population mean mu and standard deviation sigma as well as the lower and upper limits of integration in order to determine the probability of an event occurring within a certain range of X values where X is a continuous random variable. You need to be familiar with the 68-95-99.7 rule. Approximately 68% of the population lies within 1 standard deviation of the population mean or average. 95% of the population lies within 2 standard deviations of the mean and 99.7% lies within 3 standard deviations of the mean.
Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40wIntegral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxMIntegrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQMIntegration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I________________________________
Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9sReduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwYCenter of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJkoProbability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY_________________________________
Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NEHomogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT41st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0cBernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0___________________________________
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collectionsAbout the Site π
This site provides links to random videos hosted at YouTube, with the emphasis on random. π₯
Origins of the Idea π±
The original idea for this site stemmed from the need to benchmark the popularity of a video against the general population of YouTube videos. π§
Challenges Faced π€
Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
Even searching for random strings on YouTube doesn't yield truly random results, complicating the process further. π
Creating Truly Random Links π οΈ
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
About YouTube πΊ
YouTube, an American video-sharing website based in San Bruno, California, offers a diverse range of user-generated and corporate media content. π
Content and Users π΅
Users can upload, view, rate, share, and comment on videos, with content spanning video clips, music videos, live streams, and more.
While most content is uploaded by individuals, media corporations like CBS and the BBC also contribute. Unregistered users can watch videos, while registered users enjoy additional privileges such as uploading unlimited videos and adding comments.
Monetization and Impact π€
YouTube and creators earn revenue through Google AdSense, with most videos free to view. Premium channels and subscription services like YouTube Music and YouTube Premium offer ad-free streaming.
As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. π
List of ours generatorsβ‘
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