Final answer:
The probability that a uniformly distributed random variable takes the value 11 on the interval from 0 to 14 is approximately 0.0714.
Step-by-step explanation:
The probability that a uniformly distributed random variable takes a specific value within a given interval can be calculated by dividing the length of the subinterval by the length of the whole interval.
In this case, the interval is from 0 to 14, and we want to find the probability that x takes the value 11. The length of the subinterval that contains 11 is 1, and the length of the whole interval is 14.
Therefore, the probability is 1/14 or approximately 0.0714.