Find the Mean of the Given Probability Distribution $\begin{array}{c|r}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & 0.1296 \\1 & 0.3456 \\2 & 0.3456 \\3 & 0.1536 \\4 & 0.0256\end{array}$

question 61

Multiple Choice

Find the mean of the given probability distribution.
-In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.

$\begin{array}{c|r}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & 0.1296 \\1 & 0.3456 \\2 & 0.3456 \\3 & 0.1536 \\4 & 0.0256\end{array}$

• A) \(\mu = 2.00\)
• B) \(\mu = 1.50\)
• C) \(\mu = 1.60\)
• D) \(\mu = 1.73\)

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Definitions:

Natural Order

The sequence or arrangement of elements according to their inherent characteristics, often used in sorting algorithms.

Proportions

Measures that express the relationship of a part to the whole, typically in the form of a fraction or percentage.

Ordinal Data

Ordinal data is a type of categorical data with a set order or scale, but without a standardized difference between the categories, such as rankings or levels of satisfaction.

Ordered

Arranged or organized in a sequence according to some specific rule or set of rules.