If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(9 $\le$ x $\le$11)is __________________.
A)0.250
B)0.500
C)0.333
D)0.750
E)1.000

Question

Quizplus · Accepted Answer

The length of the interval from 8 to 12 is 4. The length of the interval from 9 to 11 is 2. The probability is the length of the interval of interest divided by the total length, so 2/4 = 0.5.

If X Is Uniformly Distributed Over the Interval 8 to 12