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The Age Distribution of Members of a Gymnastics Association Is

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The age distribution of members of a gymnastics association is shown in the table. A member of theassociation is selected at random. Find the probability that the person selected is at least 31. Round your answerto three decimal places.  Age (years)   Frequency  Under 21 40721254012630214313554 Over 3528\begin{array} { l c } \text { Age (years) } & \text { Frequency } \\\hline \text { Under 21 } & 407 \\21 - 25 & 401 \\26 - 30 & 214 \\31 - 35 & 54 \\\text { Over } 35 & 28 \\\hline\end{array}


Definitions:

Numerical Characteristics

Quantitative attributes or measurements that describe and summarize data.

Sample

A selected subset of individuals or items from a larger population used to estimate characteristics of the whole population.

Sampling Error

The error caused by observing a sample instead of the whole population, leading to potential differences between the sample statistic and population parameter.

Population Mean

The average of all the data points in a population.

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