This calculus 2 video tutorial provides a basic introduction into probability density functions. It explains how to find the probability that a continuous random variable such as x in somewhere between two values by evaluating the definite integral from a to b. The probability is equivalent to the area under the curve. This video also contains an example problem with an exponential density function involving the mean u which represents the average wait time for a customer in the example problem.
Application of Integration - Free Formula Sheet:
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Probability - Free Formula Sheet:
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Improper Integrals:
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Integration Into Inverse Trig:
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Integration of Rational Functions:
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Integral of Logarithmic Functions:
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Integrating Exponential Functions:
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Integration Formulas:
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Integration By Tables:
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Reduction Formulas - Integration:
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Center of Mass & Moments:
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Center of Mass & Centroid Problems:
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Hydrostatic Force Problems:
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Probability Density Functions:
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Normal Distributions - Calculus:
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Homogeneous Differential Equations:
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1st Order Linear Differential Equations:
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Bernoulli's Equation for Differential Equations:
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Slope Fields:
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Converging & Diverging Sequences:
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Monotonic & Bounded Sequences:
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Calculus Final Exam and Video Playlists:
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Full-Length Videos and Worksheets:
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