Video Transcript
A factory produced 1,600
calculators in one day. They took a sample of those
calculators and found that three percent were defective. What is the expected number of
defective calculators produced that day?
In order to answer this question,
we need to recall the expected value formula. This states that the expected value
is equal to the probability of an event occurring multiplied by the number of trials
or experiments. In this question, we are told that
three percent of the calculators sampled were defective. Since three percent is equal to
three one hundredths, or 0.03, the experimental probability of the calculator being
defective from the sample is three out of 100.
Next, we note that the factory
produced 1,600 calculators in one day. The expected value is therefore
equal to three over 100 multiplied by 1,600. Both 100 and 1,600 are divisible by
100. So our calculation simplifies to
three multiplied by 16, which is equal to 48. We can therefore conclude that the
expected number of defective calculators produced that day is 48.
