Question

points) A manufacturer of photo processing machines has fitted all machines with an low ink warning alarm, yet experience shows that 20 percent of the machines tested fail to issue the warning. Assume

Answer 1

A photo processing machine manufacturer, despite fitting all machines with a low ink warning alarm, experiences a 20 percent failure rate in issuing the warning.

Explanation:

The scenario described suggests that although the manufacturer has equipped all photo processing machines with a low ink warning alarm, 20 percent of the tested machines fail to issue the warning as expected.

This discrepancy between the intended functionality and the observed failure rate could arise from various factors such as manufacturing defects, sensor malfunctions, or other technical issues affecting the proper functioning of the low ink warning system.

To quantify this issue, we can denote the failure rate as
`\( p \), where \( p = 0.20 \)` or 20 percent. This failure rate implies that 20 percent of the machines tested do not issue the low ink warning despite the manufacturer's intentions.

The calculation is straightforward, as it directly reflects the observed failure rate. Understanding and addressing the root cause of this failure is crucial for the manufacturer to improve the reliability of their machines and ensure that the low ink warning system functions as intended in all units.

In conclusion, while the manufacturer has made efforts to equip their machines with a low ink warning alarm, the observed 20 percent failure rate highlights a discrepancy between the intended functionality and the actual performance of the warning system.

Identifying and resolving the underlying issues causing this failure is essential for maintaining the quality and reliability of the photo processing machines.