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 ________________________________ 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 _________________________________ 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 ___________________________________ 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