Answer:
The probability that a pipe produced has length greater than 30 feet is 0.5385.
Step-by-step explanation:
Let <em>X</em> = product lengths of the pipes produced by a company.
The random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 28.50 feet to <em>b</em> = 31.75 feet.
The probability density function of Uniform random variable is:

Compute the probability that a pipe produced has length greater than 30 feet as follows:


![=\frac{1}{3.25}\times [31.75-30]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3.25%7D%5Ctimes%20%5B31.75-30%5D)

Thus, the probability that a pipe produced has length greater than 30 feet is 0.5385.