Question

What is the characteristic function of a normal distribution?

Answer 1

Refer explanation section

Explanation:

Important properties of a Normal Curve

1 The curve is symmetric. It has no skewness.

2 It is neither too flat (platykurtic) nor too peaked (leptokurtic). It is mesokurtic.

3 Its arithmetic mean equals its median and mode.

4 It is unimodal

5 The area under the curve corresponds to the total frequencies.

6 Relationship among its mean, standard deviation, frequencies and area is unique.

68.26% of the total frequency lies between `barx + sigma` and `bar x - sigma`

95.44% of the total frequency lies between `barx + 2.sigma` and `barx - 2.sigma`

99.74% of the total frequency lies between `x + 3.sigma` and `barx - 3.sigma`