Introduction to the normal distribution, Mathematics

Assignment Help:

Q. Introduction to the Normal Distribution?

Ans.

The Binomial distribution is a model for what might happen in the future for a discrete random variable. The Normal Distribution is a model for continuous random variables that often occurs in practice and it is therefore the most important continuous probability distribution in statistics!

The Bell Curve

The normal distribution occurs regularly in practice, for example, suppose a paper supply company repeatedly measures a ream (500 sheets) of paper. The measurements that they gather can be represented by the histogram below.

1647_Introduction to the Normal Distribution.gif

If we connect the center of each bar with a smooth curve, we get a bell-shaped curve, called the normal curve.

809_Introduction to the Normal Distribution1.gif

Notice that this curve is symmetric about the central axis. The mean, median and mode are equal and occur at the peak of the curve.

Theoretically, the normal curve extends infinitely in both directions. It gets very close to x-axis, but never touches it. The total area under the curve is equal to 1. The area on the right side of the mean is 0.5 and the area on the left side of the mean is also 0.5.

Although the distribution was discovered earlier, the normal curve is often called the Gaussian curve because the German mathematician, Carl Friedrich Gauss (1777 - 1855) found so many applications for the normal curve.


Related Discussions:- Introduction to the normal distribution

Simpson rule - approximating definite integrals, Simpson's Rule - Approxima...

Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int

Determine y inverse for x2 + y 4 = 10, Determine  y′′  for           ...

Determine  y′′  for                                x 2 + y 4   = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w

Rank correlation coefficient, Rank Correlation Coefficient Also ident...

Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari

Ratio, what is the simplest form of 6:9?

what is the simplest form of 6:9?

Some definitions of exponential e, Some Definitions of e 1. ...

Some Definitions of e 1. 2.   e is the unique +ve number for which 3. The second one is the significant one for us since that limit is exactly the limit

Scale Drawing, Model of 180 meter tall building using a scale of 1.5 centim...

Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

Relationship between the graph and inverse function, Interesting relationsh...

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  Ther

Fractions, #question.mario has 3 nickelsin his pocket.wha fraction ofadolla...

#question.mario has 3 nickelsin his pocket.wha fraction ofadolla do 3 nickels represent

Linear relations, a drawn picture on a graph that includes equations of eac...

a drawn picture on a graph that includes equations of each line

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd