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Find the Indicated Probability If One of the 255 Subjects Is Randomly Selected, Find

question 128

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Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
-The table below shows the soft drinks preferences of people in three age groups.  cola  root beer  lemon-lime  under 21 years of age 402520 between 21 and 40 352030 over 40 years of age 203035\begin{array} { r | c c c } & \text { cola } & \text { root beer } & \text { lemon-lime } \\\hline \text { under 21 years of age } & 40 & 25 & 20 \\\text { between 21 and 40 } & 35 & 20 & 30 \\\text { over 40 years of age } & 20 & 30 & 35\end{array} If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer.

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Definitions:

Sample Proportion

The fraction or percentage of the sample that has a particular property or characteristic.

Population Proportion

The fraction or percentage of individuals in a population that exhibit a specific attribute or characteristic.

Sample Proportion

The ratio or fraction of sample observations that belong to a particular category or characteristic.

Standard Deviation

A parameter for evaluating the breadth of dispersion or difference in a set of figures.

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