Question

question

an electronics company wants to assess the quality of a new batch of circuit boards. two hundred boards are randomly inspected and a total of thirty six defects are found.

what is the dpu for the batch of boards?

3.6
1.8
.36
.18

Explanation:

Identify the given values

We are given the following values from the problem statement:

• Total number of units inspected: \(U = 200\)
• Total number of defects found: \(D = 36\)

State the formula for DPU

To measure quality, we use Quality Control metrics. The Defects Per Unit (DPU) formula is:

$$\text{DPU} = \frac{\text{Total Defects}}{\text{Total Units Inspected}}$$

Calculate the DPU value

Using our Six Sigma Tools knowledge, we substitute the given values into the formula:

$$\text{DPU} = \frac{36}{200}$$

Simplify the fraction

We divide the numerator by the denominator to find the decimal value:

$$\text{DPU} = 0.18$$

Answer:

• (A) 3.6
• (B) 1.8
• (C) .36
• (D) .18 (Correct answer)