What is the total area under the standard normal distribution curve?Question 4Answera.2b.1c.3

Understand the Problem

The question asks for the total area under the standard normal distribution curve, which is a fundamental concept in statistics.

Relevant Concepts

The standard normal distribution is symmetrical and has a mean ($\mu$) of 0 and a standard deviation ($\sigma$) of 1. The total area under the curve of a probability density function is always equal to 1, since it represents the total probability of all possible outcomes.

Analysis and Detail

1. The standard normal distribution curve represents the distribution of data points that follow a normal distribution.
2. The area under the entire curve signifies total probability, which must always sum to 1.

Verify and Summarize

Since the area under the curve measures total probability and is defined to be 1, there is no complex calculation needed.

Final Answer

The total area under the standard normal distribution curve is $1$.