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

question 128

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:

Reproduction

The natural method through which offspring are generated from their progenitors.

Natural Selection

The process by which organisms better adapted to their environment tend to survive and produce more offspring, a fundamental concept in evolutionary biology.

Fecundity

The potential reproductive capacity of an individual or population, often measured by the number of offspring produced.

Activation

The process of initiating action or the state of being active, often discussed in psychological and physiological contexts.