Question

Explain any three properties of normal distribution

Answer 1

The normal distribution with density (mean and standard deviation ) hasthe following properties: It is symmetric around the point which is atthe same time the mode, the median and the mean of the distribution. It is unimodal: its first derivative is positive for negative for and zero only at.

Answer 2

1) The normal curve is bell shaped in appearance.

2) There is one maximum point of normal curve which occur at mean.

3) As it has only one maximum curve so it is unimodal.

4) In binomial and possion distribution the variable is discrete while in this it is continuous.

5) Here mean= median =mode.

6) The total area of normal curve is 1. The area to the left and the area to the right of the curve is 0.5.

7) No portion of curve lies below x-axis so probability can never be negative.

8) The curve becomes parallel to x-axis which is supposed to meet it at infinity.