The total area of the normal curve is the(a) one(b) 50 percent(c) 0.50(d) any value between 0 and 1

1. Break Down the Problem

To understand the total area of the normal curve, we need to recognize what is meant by "the total area". The normal distribution is a continuous probability distribution that is symmetrical about its mean.

2. Relevant Concepts

The total area under the normal curve is a concept in probability theory. The cumulative area under the entire normal distribution curve is equal to $1$. This is a fundamental property of probability distributions.

3. Analysis and Detail

• The normal curve represents the distribution of a variable.
• The total area under the curve from negative infinity to positive infinity sums up to $1$.
• This is because probabilities must total to $1$, where individual probabilities can take values between $0$ and $1$.

4. Verify and Summarize

Given that the area under the normal curve must equal $1$, the other options presented do not accurately capture the total area.

Final Answer

The correct choice is (a) one. The total area of the normal curve is equal to $1$.