AIR MATH

Math Question

The set of data in the table below shows the results of a survey on the number of messages that people of different ages text on their cell phones each month.
\begin{tabular}{|c|c|c|c|}
\hline \multirow{2}{*}{ Age Group } & \multicolumn{3}{|c|}{ Toxt Messages per Month } \\
\cline { 2 - 4 } & \( 0-10 \) & \( 11-50 \) & Over 50 \\
\hline \( 15-18 \) & 4 & 37 & 68 \\
\hline \( 19-22 \) & 6 & 25 & 87 \\
\hline \( 23-60 \) & 25 & 47 & 157 \\
\hline
\end{tabular}
If a person from this survey is selected at random, what is the probability that the person texts over 50 messages per month given that the person is between the ages of 23 and \( 60 ? \)
A \( \frac{157}{229} \)
B \( \frac{157}{312} \)
C \( \frac{157}{384} \)
D \( \frac{157}{456} \)

Solution

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