An amusement park owner tracked the ages of visitors who frequented different rides and displayed the data in a table. Teacups Ferris Wheel Gondola Ride Roller Coaster Under 12 33 7 14 16 12 – 25 20 8 28 7 Over 25 12 17 19 9 Determine the empirical probability that a person who visited the amusement park was over age 25 at the Ferris wheel. 0.089 0.170 0.298 0.531
To determine the empirical probability that a person who visited the amusement park was over age 25 at the Ferris wheel, we need to find the number of visitors who were over 25 and went on the Ferris wheel and divide it by the total number of visitors. From the table, we see that 17 visitors over the age of 25 went on the Ferris wheel. The total number of visitors is the sum of all the entries in the Ferris wheel column, which is 7 + 8 + 17 = 32. Therefore, the empirical probability that a person who visited the amusement park was over age 25 at the Ferris wheel is 17/32, which simplifies to 0.531. Therefore, the answer is (d) 0.531.
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