How JustAnswer Works:
  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site.
    Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.
Ask Sk1llz Your Own Question
Sk1llz
Sk1llz , Mastermind
Category: Finance
Satisfied Customers: 2328
Experience:  Mathematics, Statistics and Physics
386534
Type Your Finance Question Here...
Sk1llz is online now
A new question is answered every 9 seconds

The normal distribution is the most important probability ...

Resolved Question:

The normal distribution is the most important probability distribution in the world of statistics. What are the properties of this distribution that make it so powerful and important in statistical analysis?

Optional Information:
Orlando, Florida






Submitted: 10 years ago.
Category: Finance
Expert:  Sk1llz replied 10 years ago.
There are three main reasons for this fact:

1. The first reason is directly linked to the mathematical properties of the distribution. If a random sample is taken from a normal distribution, then the distributions of various important functions of the observations can be derived explicitly and will have simple forms. Therefore, it is a mathematical convenience to be able to assume that the distribution from which a random sample is drawn is a normal distribution.

2. The second reason is that many scientist have observed that the random variables obtained from various experiments often can be very well approximated with the normal distribution.

3. The third reason is the central limit theorem. In short it states that if a random sample is taken from some distribution, then even though this distribution is not itself approximately normal, several important functions of the observations in the sample will have a distribution that is approximately normal.








Sk1llz and other Finance Specialists are ready to help you