Question

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 1762 floppy disks is drawn. Of these disks, 70 were defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

We conclude that the proportion faulty floppy disks is 3.973%.

Explanation:

We have the sample of 1762 floppy disks. Of these disks, 70 were defective.

We will use proportion to calculate the proportion of faulty floppy disks. We have the following proportion:

`1762:100\%=70:x\%\\\\1762x=70\cdot 100\\\\x=(7000)/(1762)\\\\x=3.973\%`

We conclude that the proportion faulty floppy disks is 3.973%.