The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older.Find the probability that an individual prefers running.
A)0.3159
B)0.3915
C)0.6085
D)0.6805

Question

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older.Find the probability that an individual prefers running. 
A)0.3159 
B)0.3915 
C)0.6085 
D)0.6805

Quizplus · Accepted Answer

To find the probability that an individual prefers running: 
- Add up the frequencies for running (150+100 = 250) 
- Add up all frequencies to get the total sample size (400+300+200+150+100+50 = 1200) 
- Divide the frequency of running by the total sample size (250/1200 ≈ 0.2083)

Therefore, the probability that an individual prefers running is approximately 0.2083 or 20.83%. 
The closest answer choice is B)0.3915, which is not the exact answer but may represent a common mistake in taking the complement of the probability of not preferring running (which is 1-0.2083 = 0.7917) instead of simply reporting the probability of preferring running.

The Contingency Table Below Provides Frequencies for the Preferred Type