Question

A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was representative, find the number of bulbs expected to be defective in a case of 450.

a. 36
b. 45
c. 30
d. 24

Answer 1

The right answer is Option C.

Step-by-step explanation:

Number of bulbs of sample = 30

Defective bulb = 2

As the sample was representative, it means that every sample of 30 bulbs will have 2 defective bulbs.

The ratio of defective bulbs to sample is 2:30

Total bulbs = 450

Defective bulbs = x

The ration of total bulbs to defective bulbs x:450

Therefore,

$2:30::x:450$

Product of Mean = Product of Extremes

$30*x=450*2\\30x=900$

Dividing both sides by 30

$\frac{30x}{30}=\frac{900}{30}\\x=30$

30 bulbs are expected to be defective in case of 450.

The right answer is Option C.

Keywords: ratio, proportion

Learn more about ratios at:

• brainly.com/question/10772025
• brainly.com/question/10879401

#LearnwithBrainly