Q2: Lesson 1: Normal Distribution and its Properties

Normal distribution

A distribution of a continuous random variable whose graph is a bell-shaped curve called normal curve.

Gaussian curve

Another term for normal distribution, in honor of Johann Carl Friedrich Gauss who derived the equation of its pdf.

Mean and standard deviation

Based on the equation of the normal curve, the appearance of the bell-shaped curve still depends on two values:

Many random variables representing naturally occurring phenomena are approximately normally distributed

The normal distribution is important because:

Bell

Its curve is _____-shaped.

y

Its curve is symmetrical about which axis?

Mean, median, mode

The _____, _____, and _____ coincide at the center of the distribution.

Unimodal

The distribution is _____, which means it only has one mode.

Asymptotic

Its curve is _____, which refers to its tail which never reaches the y-axis.

1

The total area under its curve is _____.

0; 1

A standard normal distribution is a normal distribution with mean of _____ and standard deviation of _____. Basically, any normal distribution could be transformed into this type.