Normal Distribution & Probability Problems
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- Опубліковано 23 лип 2024
- 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:
• Improper Integrals - C...
Integration Into Inverse Trig:
• Integration into Inver...
Integration of Rational Functions:
• Integration of Rationa...
Integral of Logarithmic Functions:
• Integral of Logarithmi...
Integrating Exponential Functions:
• Integrating Exponentia...
Integration Formulas:
• Integration Formulas F...
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Integration By Tables:
• Integration By Tables
Reduction Formulas - Integration:
• Reduction Formulas For...
Center of Mass & Moments:
• Moment, Center of Mass...
Center of Mass & Centroid Problems:
• Center of Mass & Centr...
Hydrostatic Force Problems:
• Hydrostatic Force Prob...
Probability Density Functions:
• Probability Density Fu...
_________________________________
Normal Distributions - Calculus:
• Normal Distribution & ...
Homogeneous Differential Equations:
• Homogeneous Differenti...
1st Order Linear Differential Equations:
• First Order Linear Dif...
Bernoulli's Equation for Differential Equations:
• Bernoulli's Equation F...
Slope Fields:
• Slope Fields | Calculus
___________________________________
Converging & Diverging Sequences:
• Converging and Divergi...
Monotonic & Bounded Sequences:
• Monotonic Sequences an...
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Full-Length Videos and Worksheets:
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Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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Dear Sir,
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Professor Organic Chemistry Tutor, thank you for a detail analysis and explanation of the Normal Distribution and Probability Problems in Calculus. Normal Distributions problems using a simple chart/bell shape curve really improves my understanding of Probability and Statistics. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
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At 19:05 when u solve the solution by calculator what u put in the place of x plz help.
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How do we find the area left after 3.5 or 4.5 standard deviations away from mean in both directions?
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Is there a way to calculate the percentage on the first example, the one with the integration, without a calculator. I have a calculator that doesn't have the integration format.
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8:16 how we calculate percentage under the curve..?
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Does variance have any specific meaning ? I'm kind of struggling on that for a while
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so for the first question is the percentage just the probability since the calculation for that is the same as the probability one?
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I
want to ask what value has been inserted for x for calculating normal distribution using integral?
is it always these percentages under the curve, or is the percentages dependent on the mean?
Very Informative video .Helped a lot thanks
Do you have the link to the calculator?
What do you call the calculus formula for finding the area under the normal curve.
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Please help with this problem: 4. Bone density can be measured using a DEXA test. Bone density for a 25-year-old woman is normally-distributed with a mean of 956 g/cm2 and a standard deviation of 5.52 g/cm2. Let X be the bone density of a randomly selected 25-year-old woman in g/cm2.
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how did you get the percentage?
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