Question
A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be defective. Round to the nearest whole number.
130 phones
13 phones
16 phones
11 phones
130 phones
13 phones
16 phones
11 phones
Answers
GPT-4o mini
To find the expected number of defective phones, you can use the formula:
\[ \text{Expected Defective Phones} = \text{Total Phones} \times \text{Probability of Defect} \]
In this case, the total number of phones is 500 and the probability of a phone being defective is 2.6%, or 0.026 in decimal form.
Now, calculate the expected number of defective phones:
\[
\text{Expected Defective Phones} = 500 \times 0.026 = 13
\]
Rounding to the nearest whole number, the expected number of defective phones is 13.
Therefore, the correct answer is:
**13 phones**.
\[ \text{Expected Defective Phones} = \text{Total Phones} \times \text{Probability of Defect} \]
In this case, the total number of phones is 500 and the probability of a phone being defective is 2.6%, or 0.026 in decimal form.
Now, calculate the expected number of defective phones:
\[
\text{Expected Defective Phones} = 500 \times 0.026 = 13
\]
Rounding to the nearest whole number, the expected number of defective phones is 13.
Therefore, the correct answer is:
**13 phones**.