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. $$\begin{array} { l c }
\text { Age (years) } & \text { Frequency } \
\hline \text { Under 21 } & 407 \
21 - 25 & 401 \
26 - 30 & 214 \
31 - 35 & 54 \
\text { Over } 35 & 28 \
\hline
\end{array}$$
A) 0.074
B) 0.049
C) 82
D) 0.926

Question

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. $$\begin{array} { l c } 
\text { Age (years) } & \text { Frequency } \
\hline \text { Under 21 } & 407 \
21 - 25 & 401 \
26 - 30 & 214 \
31 - 35 & 54 \
\text { Over } 35 & 28 \
\hline
\end{array}$$
A) 0.074
B) 0.049
C) 82
D) 0.926

Quizplus · Accepted Answer

To find the probability that a randomly selected member is at least 31, we add the frequencies for the age groups 31 - 35 and Over 35, then divide by the total number of members. The total number of members is $407 + 401 + 214 + 54 + 28 = 1104$. The number of members at least 31 years old is $54 + 28 = 82$. Thus, the probability is $82 / 1104 \approx 0.074$.

The Age Distribution of Members of a Gymnastics Association Is