After a particular heavy snowstorm, the depth of snow reported in a mountain village followed a uniform distribution over the interval from 15 to 22 inches of snow. Find the probability that a randomly selected location in this village had between 17 and 18 inches of snow. Round to the nearest ten-thousandth.
A) 0.2857
B) 0.1429
C) 0.4286
D) 0.5714

Question

Quizplus · Accepted Answer

The probability for a uniform distribution is calculated as the length of the interval of interest divided by the length of the total interval. Here, the interval of interest is 17 to 18 inches (1 inch), and the total interval is 15 to 22 inches (7 inches). Thus, the probability is 1/7 = 0.1429.

After a Particular Heavy Snowstorm, the Depth of Snow Reported