Question

A cell phone company checks a shipment of 200 phones and finds that 5 are defective. Based on this data, about how many defective phones should the company expect to be defective in a shipment of 760 phones?

Answer 1

To estimate the number of defective phones in a shipment of 760 phones, we can set up a proportion using the data from a shipment of 200 phones. The estimated number of defective phones is about 19.

Step-by-step explanation:

To estimate the number of defective phones in a shipment of 760 phones, we can use the concept of proportions. We know that in a shipment of 200 phones, 5 are defective. We can set up a proportion:

5/200 = x/760

Cross multiplying, we get:

200x = 5 * 760

Simplifying, we find that x = 19. Therefore, the company should expect about 19 defective phones in a shipment of 760 phones.