Q. 6.84

Question

In this section, we mentioned that the total area under any curve representing the distribution of a variable equals . Explain why.

Step-by-Step Solution

Verified
Answer

The total probability of a variable equals one is a well-known fact.

1Step 1: Concept introduction

The quantity of one variable in algebraic equations is typically reliant on the position of another. If the data tuple isn't declared precisely, the variable's beginning value reflects the default value.

2Step 2: Explanation

The overall area under the curve can be interpreted as the variable's total probability. 

The total probability of a variable equals one is a well-known fact.

As a result, the entire area under any curve reflecting a variable's distribution is equal to1.