A Machine Is Set to Pump Cleanser into a Process

question 26

Essay

A machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 9.5 gallons per minute. Find the probability that the machine pumps less than 8.75 gallons during a randomly selected minute.

---

Definitions:

Annual Salary Increases

Regular, incremental adjustments to an employee's base pay, typically conducted on a yearly basis to keep up with market rates, inflation, or to reward performance.

Flexible Work Hour Plans

Employment arrangements that allow workers to choose their work hours within specified limits.

Core Time

A period during the workday when all employees are expected to be at work, allowing for flexibility at the start and end of the day while ensuring a common time for collaboration.

Down Time

Periods when a machine, system, or employee is not productive, due to maintenance, repairs, or rest, which can impact overall operational efficiency.