Question

an urban and regional planner and an economist were working on a project to develop a plot of land. in a sampling of data, they found that 560 people surveyed were in favor of a gym only, 740 were in favor of a park only, 320 were in favor of a swimming pool only, and 1530 were in favor of a community center that had all of the features. what is the probability model of the people surveyed? match each option with the correct percentage. swimming pool only community center gym only park only 18% 12% 23% 49% 35% 50% 25% 10%

Explanation:

Step1: Calculate total number of people surveyed

$560 + 740+320 + 1530=3150$

Step2: Calculate probability of favoring swimming - pool only

$P(\text{swimming pool only})=\frac{320}{3150}\times100\%\approx 10\%$

Step3: Calculate probability of favoring community center

$P(\text{community center})=\frac{1530}{3150}\times100\%\approx 49\%$

Step4: Calculate probability of favoring gym only

$P(\text{gym only})=\frac{560}{3150}\times100\%\approx 18\%$

Step5: Calculate probability of favoring park only

$P(\text{park only})=\frac{740}{3150}\times100\%\approx 23\%$

Answer:

swimming pool only - 10%
community center - 49%
gym only - 18%
park only - 23%