Question

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.9%, predict how many of the phones are likely to be defective. Round to the nearest whole number.


12 phones


18 phones


15 phones


145 phones

Answer 1

To find the predicted number of defective phones, we will calculate 2.9% of 500 phones.

First, we convert the percentage to a decimal:
\[
2.9\% = \frac{2.9}{100} = 0.029
\]

Now we multiply this decimal by the total number of phones:
\[
\text{Defective phones} = 500 \times 0.029
\]
\[
\text{Defective phones} = 14.5
\]

Rounding 14.5 to the nearest whole number gives us 15.

Thus, the predicted number of defective phones is **15 phones**.