Question

While inspecting final assembly of automobile-gear-boxes, 15 features were considered critical-to-quality (CTQ). During last quarter, 40000 gear boxes were produced among which 1500 defects were found of the CTQ features. The defects per million opportunities (DPMO) is .......... (Answer in integer)

Hint:

DPMO is a key metric in quality control that helps evaluate the efficiency of a process. A lower DPMO value indicates a higher quality process.

Answer 1

Correct Answer: 2490

To solve for the defects per million opportunities (DPMO), we must first calculate the total number of opportunities for defects. Given:
Total gear boxes produced: 40,000
CTQ features per gear box: 15

1. Compute total opportunities for defects:
Total opportunities = 40,000 (gear boxes) × 15 (features) = 600,000 opportunities.

2. Given the number of defects: 1,500.

3. Calculate DPMO using the formula:
DPMO = (Defects / Total Opportunities) × 1,000,000
Substitute the values:
DPMO = (1,500 / 600,000) × 1,000,000 = 2,500.

4. Verify against the given range (2490, 2490): The computed DPMO of 2,500 falls within this range.

The defects per million opportunities (DPMO) is 2,500.