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

question 186

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.

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { 2 } { 5 }\)
• C) \(\frac { 3 } { 5 }\)
• D) \(\frac { 1 } { 3 }\)

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Definitions:

Trimmed Mean

A method of averaging that removes a specified percentage of the largest and smallest values before calculating the mean, often used to reduce the effect of outliers.

Bootstrap Standard Error

A measure of the variability or dispersion of a statistic's sampling distribution, estimated using the bootstrap resampling method.

Critical Value

A threshold value in hypothesis testing that defines the boundary of the rejection region; values beyond this indicate statistical significance.

Confidence Interval

A spectrum of numerical values, derived from the analysis of a sample, likely to enclose the value of an elusive population parameter.