In a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective.
How many of the 36,000 computer chips the company makes each year would you expect to be defective?
To find out the expected number of defective chips in a year, we can use the concept of proportion.
The proportion of defective chips in the sample can be calculated as (number of defective chips)/(total number of chips in the sample):
Proportion of defective chips = 22/600 = 0.0367
Therefore, we can assume that approximately 3.67% of the chips in the sample are defective.
To find the expected number of defective chips in a year, we can multiply this proportion by the total number of chips manufactured in a year:
Expected number of defective chips = 0.0367 * 36,000 = 1,332.4
Therefore, we can expect approximately 1,332 defective chips out of the 36,000 chips manufactured each year.