Final answer:
To find the probability that a person waits fewer than 12.5 minutes, we calculate the area under the uniform distribution curve up to 12.5 minutes. The probability is 0.8333.
Step-by-step explanation:
To find the probability that a person waits fewer than 12.5 minutes, we need to calculate the area under the uniform distribution curve up to 12.5 minutes. Since the distribution is uniform, the probability is equal to the ratio of the length of the interval [0, 12.5] to the length of the entire interval [0, 15].
Probability = (12.5 - 0) / (15 - 0) = 12.5 / 15 = 0.8333