A quality control expert randomly samples 60 pairs of sunglasses and finds 5 defective pairs. predict how many defective pairs will be in a shipment of 420 sung

For this case the first thing you should do is find the percentage of sunglasses that are defective.

For this, we make the following rule of three:

60 pairs -------------------> 100%

5 pairs ---------------------> x

From here, we clear the value of x.

We have then:

[tex] x = (\frac{5}{60}) * (100)

x = 8.3%
[/tex]

We now look for the amount of sunglasses that may come with defects.

We have then:

[tex] N = (0.083) * (420)

N = 34.86
[/tex]

Rounding to the nearest whole number:

[tex] N = 35
[/tex]

Answer:

About 35 defective pairs will be in a shipment of 420 sunglasses