Answer:
At the rate expected, 125 of the 10,000 cars from said manufacturer will contain a defect.
Step-by-step explanation:
Given a sample size of 400, this will be a representation of the total of all cars from this manufacturer.
If 5 of these cars have been found to have a defect, then the rate of defects within the company's cars is expected to be
5/400
Using this proportion to expand to a sample size of 10,000 cars then, we can create the expression
5/400 = x/10,000 Multiply both sides by 10,000 to isolate x
50,000/400 = x Reduce the fraction
125 = x
Therefore, within a sample of 10,000 cars from said manufacturer, it can be expected that 125 of these vehicles will have a defect.
