In a batch of 960 calculators, 8 were found to be defective. What is a probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
out of 960 calculators, 8 were found be to defective
Probability:
\(\frac{8}{960}\)
0.00833...
As a Percent:
0.00833....× 100
0.833%
To the nearest tenth of percentage:
0.833% ≈ 0.8%
Answer:
0.8% is a probability that a calculator chosen at random will be defective
Step-by-step explanation:
Probability of any event is given by:
\(P(A) = \frac{\text{Number of required outcomes}}{\text{Total number of possible outcomes}}\) where, A is any event.
As per the statement:
In a batch of 960 calculators, 8 were found to be defective.
here,
A = Defective calculator.
⇒Number of defective calculator = 8
and
Total number of outcomes = 960 calculators.
then by definition we have;
\(P(A) = \frac{8}{960}\)
Simplify:
\(P(A) \approx 0.00833333333\) = 0.833333333 %
Therefore, a probability that a calculator chosen at random will be defective to the nearest tenth place is, 0.8 %