how to calculate the percentage of the batteries that will be "classified as good"
Answers
Answer:
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The complete question is,
A company produces batteries. On average, 85% of all batteries produced are good. Each the battery is tested before being dispatched, and the inspector correctly classifies the battery 90% of the time. What percentage of the batteries will be “classified as good”?
Given:
On average, 85% of all batteries produced are good.
The inspector correctly classifies the battery 90% of the time.
To find:
What percentage of the batteries will be “classified as good”?
Solution:
From given, we have,
The percentage of good batteries produced by the company = 85 %
⇒ The percentage of batteries that are not good = 100 - 85 % = 15 %
As, the inspector correctly classifies the battery 90% of the time.
So, 100 % - 90 % = 10 % are incorrectly classified.
The batteries classified as good batteries out of 85 % good
= 90 % × 85 %
= 90/100 × 85/100
= 76.5 %
The batteries classified as good out of 15 % not good
= 10 % × 15 %
= 10/100 × 15/100
= 1.5 %
Therefore, the percentage of the batteries classified as good
= 76.5 % + 1.5 %
= 78 %