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

Example of pythagorean theorem, Any 15 foot ladder is resting against the w...

Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is

.probability, a box contains 4 white and 6 green balls.Two balls are drawn ...

a box contains 4 white and 6 green balls.Two balls are drawn randomly with replacement.Show the probability on tree dig.

Shares and dividend, A man invests rs.10400 in 6%shares at rs.104 and rs.11...

A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all??

Using two variables, Leo works at the Bagel Shop after school and on Saturd...

Leo works at the Bagel Shop after school and on Saturdays. He is paid $4.00 per hour after school and $5.00 per hour on Saturday. Last week Leo worked a total of 12 hours and made

Help me, How should Shoppers’ Stop develop its demand forecasts?

How should Shoppers’ Stop develop its demand forecasts?

Determine the length of the rectangle, The height of a rectangle is 20 cm. ...

The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle. a. 20 b. 23 c. 22 d. 21 d. To determine the len

Pre kg, my daughter in kg now how can i train her to develop skills in unde...

my daughter in kg now how can i train her to develop skills in undertanding the basics of all subjects how can i start teaching other than schol

Initial recognition of the financial instruments, Grimm plc (Grimm) has the...

Grimm plc (Grimm) has the following transactions: a) On 1 st January 2010, Grimm issued 400,000 convertible £1 6% debentures for £600,000.  The professional fees associated wit

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