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:
https://www.video-tutor.net/calculus-formula-sheets.html
Probability - Free Formula Sheet:
https://www.video-tutor.net/formula-sheets.html
Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9
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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/MathScienceTutor/collections