Normal Distribution & Probability Problems

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=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/MathSc....ienceTutor/collectio