Quality control finds on average that 0.045% of the items from a certain factory are defective. One month, 4500 items are checked.

Question

How many items are expected to be defective?

Round your answer to the nearest whole number.

Responses

1 item
1 item

2 items
2 items

12 items
12 items

20 items

Answer 1

To find the expected number of defective items, you can use the following formula:

\[ \text{Expected Defective Items} = \text{Total Items Checked} \times \text{Defective Rate} \]

In this case:

• Total Items Checked = 4500
• Defective Rate = 0.045% = 0.00045 (as a decimal)

Now, substituting the values into the formula:

\[ \text{Expected Defective Items} = 4500 \times 0.00045 \]

Calculating this:

\[ \text{Expected Defective Items} = 4500 \times 0.00045 = 2.025 \]

Rounding 2.025 to the nearest whole number gives you:

\[ 2 \]

Therefore, the expected number of defective items is 2 items.