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

question 184

Multiple Choice

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.
$$\begin{array} { r | c c c } & \text { cola } & \text { root beer } & \text { lemon-lime } \\\hline \text { under 21 years of age } & 40 & 25 & 20 \\\text { between 21 and 40 } & 35 & 20 & 30 \\\text { over 40 years of age } & 20 & 30 & 35\end{array}$$
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.

• A) \(\frac { 5 } { 17 }\)
• B) \(\frac { 6 } { 17 }\)
• C) \(\frac { 2 } { 5 }\)
• D) None of the above is correct.

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Definitions:

Population Proportion

The fraction or percentage of individuals in a population who possess a specific attribute or characteristic.

Unbiased Estimator

An attribute of an estimator that ensures the expected value of the estimate equals the parameter being estimated.

Population Parameter

A numeric value that describes a characteristic of the entire population, such as the mean or standard deviation.

Unbiased Estimator

A statistical estimator that, on average, produces values equal to the parameter being estimated.