Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.
The uniform distribution has two bounds, a and b.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, the distribution is uniform over 2 miles, thus [tex]a = 0, b = 2[/tex].
The probability of a failure on the last half-mile is P(X > 1.5), thus:
[tex]P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25[/tex]
0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.
A similar problem is given at https://brainly.com/question/17088600
