Normal Distribution & Probability Problems

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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...
________________________________
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...
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

5 июл 2024

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Комментарии : 411

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ZEJVyybsiT4.html

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@techwithtonny9837 Год назад

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@christophereason5616 4 года назад

learnt more in 29 minutes than the whole year

@scottmitchelgonzales4478 2 года назад

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@aero_cats 2 года назад

It can be shorter. I made it 1.75x speed because my exam is 2 hours from now lol

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@kouki7099 2 года назад

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@aero_cats 2 года назад

@@kouki7099 Yes, I've passed it. But don't imitate that way, you'll not remember anything after the exam :v

@dendeibrahimadekanmbi8022 5 лет назад

You are the only person that explained the full application of this formula to my satisfaction . Thanks.

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@IreneTrisha-ub2jz 3 месяца назад

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@georgesadler7830 9 месяцев назад

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 RU-vid TV with the Organic Chemistry Tutor.

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@nanakwame1061 Год назад

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@nixbree1928 4 года назад

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@phibmak 4 года назад

Thanks for this video, it saved my calculus life :)

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@justlearn149 Месяц назад

Thank you so much, your explanation has cleared so much of confusion in my mind. This video was very helpful. It has just motivated interest and Kik started the journey of probablity within me

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@tigersharma1443 6 лет назад

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@bekturasanbekov1979 3 месяца назад

Thank you man, you really helped me to understand what normal distribution is !!!

@fanbase2673 3 года назад

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.

@chauhdrykhalid Год назад

Good morning, Sir, you have explained very clearly .Great job.❤

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@VanJake-pu2us 3 месяца назад

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@medtherockstar820 5 лет назад

Very nice video... Well done!

@Michael_eagle99 4 года назад

hearing someone explain it helps

@adminenetzone6330 7 месяцев назад

Thanks a lot for the video and for the calculator web site!

@banchitv8466 3 года назад

I have the exam is in one hour . Thanks mate. You saved me !!!

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@hamza3241 5 лет назад

u explained really well... Thank you.....

@niilaryeaquartey-papafio1940 5 лет назад

Nice Video! Can you please release another one but with use of "normal distribution table(both half and full) in solving ??

@korinlovebl8121 3 месяца назад

Thank you so much... Your much better teacher that our professor

@global4069 2 года назад

You are a True Teacher

@farwaadrees1347 3 года назад

At 19:05 when u solve the solution by calculator what u put in the place of x plz help.

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@rukasihyogaswara6913 Год назад

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@kieule2654 4 года назад

so for the first question is the percentage just the probability since the calculation for that is the same as the probability one?

@Cucumberick 5 лет назад

How smart could this guy be??

@amputribius 11 месяцев назад

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@ayodejiogunduboye6567 2 года назад

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@VyNguyen-by3km 4 года назад

Does variance have any specific meaning ? I'm kind of struggling on that for a while

@kaynatkhan4162 5 месяцев назад

Very Informative video .Helped a lot thanks

@gooddeedsleadto7499 4 года назад

How do we find the area left after 3.5 or 4.5 standard deviations away from mean in both directions?

@theresaosei2281 2 года назад

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@skinnytoothpick5942 3 года назад

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@luzcanon8829 Год назад

Wow! thank you soooo much, this video helped me a lot to understand probability on the easy way! again thank you so much I will keep watching all your videos! now you are my best teacher ever! very patient 💯🙏🙏