ALL >> Others >> View Article
What Is The Normal Distribution Of Mathematics
Watchcopiez.com online store is ready to offer you the most stylish and extraordinary replica watches of all brand names such as our Vacheron Constantin replica Watches.itscopied.com provide you a huge selection of Replica Patek Philippe for you to choose.We now come to the most important distribution in statistics—the normal distribution. The formula for this distribution was first published by Abraham de Moivre (1667-1754) in 1733. Other mathematicians linked with the history of the normal distribution are Pierre Simon, Marquis de Laplace (1667-1754) and Carl Friedrich Gauss (1777-1855), in whose honor it is sometimes called the Gaussian distribution. The distribution has two parameters: JJL, the mean, and CT, the standard deviation. The graph of the normal distribution is the familiar bell-shaped curve.Characteristics of the Normal Distribution
The following are some important characteristics of the normal distribution:
It is symmetrical ...
... about its mean,u,. The curve on either side of u, is a mirror image of the other side.
The mean, the median, and the mode are all equal.
The total area under the curve above the x axis is equal to 1.Because of the symmetry of the normal curve, 50% of the area is to the right of a perpendicular line erected at the mean, and 50% is to the left.
Suppose that we erect vertical lines one standard deviation from the mean in each direction. The area enclosed by these lines, the x axis, and the curve will be equal to approximately 68% of the total area. If we erect these lateral boundaries two standard deviations from the mean in each direction, they will enclose approximately 95% of the area. Perpendiculars erected three standard deviations on either side of the mean will enclose approximately 99. 7% of the total area. If we know that a random variable is normally distributed, we can make more powerful probability statements than we could fuse Chebyshev's theorem.
The normal distribution is completely determined by its parameters JJL and CT. That is, each different value of JJL or a specifies a different normal distribution.
The Standard Normal Distribution
The normal distribution is really a family of distributions in which one member is distinguished from another on the basis of the values of (x and a. In other words, as already indicated, there is a different normal distribution for each different value of either u, or a.
The most important member of this family of distributions is the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We usually use the letter z for the random variable that results from the standard normal distribution. The probability that z lies between any two points on the z axis is determined by the area bounded by perpendiculars erected at each of these points, the curve, and the horizontal axis. We find areas under the curve of a continuous distribution by integrating the function between two values of the variable. There are tables that give the results of integrations in which we might be interested. The table of the standard normal distribution may be presented in many different forms
Add Comment
Others Articles
1. Prayer Against Evil Spirits And Powers: A Spiritual Shield Against DarknessAuthor: Exorcism Demon Casting
2. Top Safety Tips For Operating Benchtop Catering Equipment In Sydney & Brisbane
Author: Leading Catering
3. Fighting Demonic Attacks: Understanding And Overcoming Spiritual Warfare
Author: Exorcism Demon Casting
4. Top 5 Reasons To Pursue A Weld Inspection Certification For Career Growth
Author: Bradly Franklin
5. Vashikaran Astrologer In Kolhapur
Author: astrology53
6. Symptoms Of Demonic Possession: Understanding The Unseen
Author: Exorcism Demon Casting
7. 6.6 Kw Solar System: Why It’s A Game-changer For Small To Medium Homes
Author: Solar Junction
8. Monoline Lenders Vancouver – Why Should You Choose Them
Author: Dominion Lending Centres Ratefair
9. Step-by-step Ghost Mannequin Photo Editing Tutorial For Stunning Apparel Images
Author: Robert Charles
10. Key Hospitality Technology Innovations You Should Be Ready For In 2025
Author: Orson Amiri
11. Emerging Media And Entertainment Tech: Are You Ready For The Future
Author: Orson Amiri
12. Window Tinting Auckland: Add A Feeling Of Comfort And Privateness To Your Home
Author: Tinting Experts
13. Top 10 Welding Rod Electrodes Manufacturers In India
Author: SUPERON is one of India’s largest manufacturers of
14. Know About The Future Of Cnc Machining
Author: Ryan
15. Best Astrologer In Tirunelveli
Author: srivaishnavimatha