Area to the right

Definition

The area to the right under a normal distribution curve represents the probability that a randomly selected value from the distribution is greater than a specific value. It is calculated using the complement of the cumulative distribution function (CDF).

5 Must Know Facts For Your Next Test

1. The area to the right can be found by subtracting the CDF value from 1.
2. When using standard normal tables, you often have to convert your value into a z-score first.
3. The total area under the normal distribution curve is always equal to 1.
4. The area to the right of a z-score of 0 (the mean) in a standard normal distribution is exactly 0.5.
5. In practical applications, areas to the right are used to determine probabilities for values greater than a typical range.

Review Questions

• How do you find the area to the right of a given z-score?
• What is the area to the right of the mean in a standard normal distribution?
• Why is it necessary to use the complement when calculating areas to the right?

Related terms

Cumulative Distribution Function (CDF):

A function that gives the probability that a random variable takes on a value less than or equal to a specific value.

z-Score: A measure that describes how many standard deviations an element is from the mean.

Standard Normal Distribution:

A normal distribution with a mean of zero and a standard deviation of one.