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.
Introduction to Probability: • Introduction to Probability, Basic Ov...
Probability Formulas: • Probability Formulas, Symbols & Notat...
Probability With Geometry: • Probability With Geometry - Length, A...
Conditional Probability: • Conditional Probability With Venn Dia...
Independent and Dependent Events: • Probability - Independent and Depende...
Multiplication and Addition Rule: • Multiplication & Addition Rule - Prob...
Compound Probability: • Compound Probability of Independent E...
Probability Tree Diagrams: • Probability Tree Diagrams
Bayes Theorem: • Bayes' Theorem of Probability With Tr...
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Probability - Binomial Distribution: • Finding The Probability of a Binomial...
Probability - Geometric Distribution: • Geometric Distribution - Probability,...
Probability - Poisson Distribution: • Introduction to Poisson Distribution ...
Continuous Probability Distributions: • Continuous Probability Distributions ...
Probability Density Functions: • Cumulative Distribution Functions and...
Probability - Uniform Distributions: • Continuous Probability Uniform Distri...
Probability - Exponential Distributions: • Probability Exponential Distribution ...
Probability - Normal Distributions: • Normal Distribution & Probability Pro...
Probability - Normal Distributions: • Standard Normal Distribution Tables, ...
Probability - Law of Large Numbers: • Law of Large Numbers
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Arc Length Problems: • Arc Length Calculus Problems,
Surface Area Problems: • Surface Area of Revolution By Integra...
Work Problems - Calculus: • Work Problems - Calculus
Integration By Parts: • Integration By Parts
Trigonometric Integrals: • Trigonometric Integrals
Trigonometric Substitution: • Trigonometric Substitution
Integration By Partial Fractions: • Integration By Partial Fractions
Simpson's Rule: • Simpson's Rule & Numerical Integration
Improper Integrals: • Improper Integrals - Convergence and ...
Integration Formulas: • Integration Formulas For Trig Substit...
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Reduction Formulas - Integration: • Reduction Formulas For Integration
Center of Mass & Centroid Problems: • Center of Mass & Centroid Problems - ...
Hydrostatic Force Problems: • Hydrostatic Force Problems - Calculus 2
Probability Density Functions: • Probability Density Functions
Normal Distributions - Calculus: • Normal Distribution & Probability Pro...
Homogeneous Differential Equations: • Homogeneous Differential Equations
1st Order Linear Diff. Equations: • First Order Linear Differential Equat...
Bernoulli's Equation - DE: • Bernoulli's Equation For Differential...
Slope Fields: • Slope Fields | Calculus
