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 689599.7 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:
   • Improper Integrals  Convergence and ...  

Integration Into Inverse Trig:
   • Integration into Inverse trigonometri...  

Integration of Rational Functions:
   • Integration of Rational Functions int...  

Integral of Logarithmic Functions:
   • Integral of Logarithmic Functions | C...  

Integrating Exponential Functions:
   • Integrating Exponential Functions By ...  

Integration Formulas:
   • Integration Formulas For Trig Substit...  

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Integration By Tables:
   • Integration By Tables  

Reduction Formulas Integration:
   • Reduction Formulas For Integration  

Center of Mass & Moments:
   • Moment, Center of Mass, and Centroid ...  

Center of Mass & Centroid Problems:
   • Center of Mass & Centroid Problems  ...  

Hydrostatic Force Problems:
   • Hydrostatic Force Problems  Calculus 2  

Probability Density Functions:
   • Probability Density Functions  

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Normal Distributions Calculus:
   • Normal Distribution & Probability Pro...  

Homogeneous Differential Equations:
   • Homogeneous Differential Equations  

1st Order Linear Differential Equations:
   • First Order Linear Differential Equat...  

Bernoulli's Equation for Differential Equations:
   • Bernoulli's Equation For Differential...  

Slope Fields:
   • Slope Fields | Calculus  

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Converging & Diverging Sequences:
   • Converging and Diverging Sequences Us...  

Monotonic & Bounded Sequences:
   • Monotonic Sequences and Bounded Seque...  

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