A quality control manager for a company that manufactures aluminum water pipes believes that the product lengths of one of the pipes produced can be modeled by a uniform probability distribution over the interval 28.50 to 31.75 feet. Determine the probability that a pipe produced has length greater than 30 feet.

The probability that a pipe produced has length greater than 30 feet is 0.5385.

Step-by-step explanation:

Let X = product lengths of the pipes produced by a company.

The random variable X is Uniformly distributed with parameters a = 28.50 feet to b = 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:

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