If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11)is __________________.
A)0.750
B)0.000
C)0.333
D)0.500
E)1.000

Question

Quizplus · Accepted Answer

The probability that x is less than or equal to 11 when x is uniformly distributed from 8 to 12 is calculated by finding the length of the interval from 8 to 11 and dividing it by the total length of the distribution interval from 8 to 12. The length from 8 to 11 is 3 units, and the total length from 8 to 12 is 4 units. Therefore, the probability is 3/4 or 0.750.

If X Is Uniformly Distributed Over the Interval 8 to 12