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)0.4286
B)0.2857
C)0.5714
D)0.1429

Question

Quizplus · Accepted Answer

The probability in a uniform distribution is calculated as the length of the interval of interest divided by the total length of the distribution interval. Here, the interval of interest is from 17 to 18 inches, which is 1 inch long. The total interval is from 15 to 22 inches, which is 7 inches long. So, the probability is 1/7 = 0.1429.

After a Particular Heavy Snowstorm, the Depth of Snow Reported