A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each.Soap ProblemsFrequencyUnderweight4Impurities2Broken bar3None91Total100If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
Answer
A
They would expect 100 bars to be broken.
B
They would expect 150 bars to be broken.
C
They would expect 300 bars to be broken.
D
They would expect 450 bars to be broken.
Explanation
In the sample of 100 bars, 3 were broken, so the estimated broken-bar rate is 3/100. Apply that rate to 5,000 bars: (3/100) × 5,000 = 150. They would expect 150 bars to be broken, which is choice B.
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