Statistics

Use of Complementary Events - Explained

Question: What is the probability of obtaining values higher than 0.5?

Diagram

Answer: 0.3085.

Explanation: This cannot be concluded directly from the table because the table provides the probability of obtaining values below a given number, and the question refers to the probability of obtaining values that are higher than the given number.

We will obtain the answer through subtraction

The total area of the probability distribution is 1, and if we subtract the probability of obtaining values lower than 0.5 (which we found in the preceding question) from 1, then we will learn the probability of obtaining values greater than 0.5: 1 - 0.6915 = 0.3085

In effect, we used two complementary events in the question.

Use of Complementary Events

Use of Complementary Events - Explained527Use of Complementary Events - Explained