Determine $f ( x )$ From the Table $\begin{array}{|r|c|}\hline x & f(x) \\\hline-1 & 20.0855 \\\hline 0 & 1 \\\hline 1 & 0.0498 \\\hline 2 & 0.0025 \\\hline\end{array}$

question 5

Multiple Choice

Determine $f ( x )$ from the table.
The values from the table are given to the nearest ten thousandth. $\begin{array}{|r|c|}\hline x & f(x) \\\hline-1 & 20.0855 \\\hline 0 & 1 \\\hline 1 & 0.0498 \\\hline 2 & 0.0025 \\\hline\end{array}$

• A) \(f ( x ) = e ^ { 3 x }\)
• B) \(f ( x ) = e ^ { - 3 x }\)
• C) \(f ( x ) = 3 x ^ { - 3 }\)
• D) \(f ( x ) = x e ^ { - 3 }\)
• E) \(f ( x ) = x ^ { - 3 }\)

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Definitions:

Assignable Variation

Changes within a process stemming from particular causes, instead of occurring randomly.

Pooled Standard Deviation

A statistical measure used to estimate the standard deviation of two or more samples by combining variances in a weighted average.

Assignable Cause Variation

Variability in a process that can be traced to a specific reason or cause, often indicating issues that need correction.

Process Distribution

The distribution of outcomes or results from a specific process, indicating variability within the process.