What is a normal distribution?

What is normal distribution? A normal distribution can assume values that are infinite and uncountable. For example, the time it takes a student to commute from home to a university could be a normal distribution. Suppose that 15 minutes is the minimum time and 60 minutes is the maximum time it takes all students to commute from home to the university.

Let x be the time it takes a randomly selected student to commute from home to the university. Then, x can assume any value in the interval 15 to 60 minutes. This interval contains an infinite number of values that are uncountable.

Normal distribution

In this unit, we will first learn about continuous random variable. Then, the rest of the unit will focus on the normal distribution which is a specific case of continuous random variables.

Continuous probability distribution
Definition of a continuous probability distribution, histogram and an approximation of the probability distribution curve.

Normal probability distribution
Definition, examples, and characteristics of a normal probability distribution.

Standard normal distribution
Definition and examples of the standard normal distribution.

Standard normal distribution table
A very useful table that will help you find the areas under the standard normal curve from 0 to z.

Area under the standard normal curve
Learn how to find the area under the standard normal curve using the standard normal distribution table.

Standardizing a normal distribution
Learn how to convert a normal distribution to the standard normal distribution.

Find the z-scores for a specific area
Learn how to use the standard normal distribution table to find the z-scores for a specific area.

Normal distribution word problems
Learn how to solve some interesting normal distribution word problems.

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