If x is continuously 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

If x is continuously 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

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 ratio of these lengths: 2/4 = 0.500.

If X Is Continuously Uniformly Distributed Over the Interval 8 ≤\le≤

If X Is Continuously Uniformly Distributed Over the Interval 8 $\le$