The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probability that Samantha has to wait less than 4.5 minutes to catch the bus?
A)10%
B)20%
C)30%
D)3%

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 0 to 4.5 minutes, which is 4.5 minutes long, and the total interval is 0 to 15 minutes, which is 15 minutes long. So, the probability is $ \frac{4.5}{15} = 0.3 $ or 30%.

The Number of Minutes That Samantha Waits to Catch the Bus