Normal Distribution & Probability Problems Video
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.
Application of Integration - Free Formula Sheet:
https://www.video-tutor.net/calculus-formula-sheets.html
Probability - Free Formula Sheet:
https://www.video-tutor.net/formula-sheets.html
Statistics - Video Lessons:
https://www.video-tutor.net/statistic.html
Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9
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Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0
Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0
Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40w
Integral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxM
Integrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQM
Integration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I
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Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9s
Reduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwY
Center of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4
Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0
Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJko
Probability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY
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Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NE
Homogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT4
1st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0c
Bernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4
Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0
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Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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