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Chapter 6: Q. 6.84 (page 269)

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

Short Answer

Expert verified

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

Step by step solution

01

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.

02

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.

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Most popular questions from this chapter

Find the following z-scores.

a. Z0.03

b.z0.005

Briefly, for a normally distributed variable, how do you obtain the percentage of all possible observations that lie within a specified range?

Express the quartiles,Q1,Q2, and Q3, of a normally distributed variable in terms of its mean, μ, and standard deviation, σ.

We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.

Obtain the z-score that has an area of 0.95 to its right.
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