Question

A new car was put into production. It involved many assembly tasks. Each car was inspected at the end of the assembly line and the number of defects per unit was recorded. For the first 100 cars produced, there were 30 defective cars. Some of the cars had no defects; a few had one defect, and so on. The distribution of defects followed a Poisson distribution. Based on the first 100 produced, about how many out of every 1,000 cars assembled should have one or more defects?

Answer 1

Answer:

About 300 of every 1,000 cars assembled should have one or more defects

Step-by-step explanation:

From the sample of 100 cars, we can estimate the total number of defective cars, using a rule of three.

In this question:

For each 100 cars, 30 defective.

How many defective for 1000?

100 cars - 30 defective

1000 cars - x defective

$100x = 30*1000$

Simplifying by 100

$x = 30*10$

$x = 300$

About 300 of every 1,000 cars assembled should have one or more defects