Sure! Let's solve this step-by-step:
1. Identify the relevant data:
- Total number of monitors sampled: 600
- Number of defective monitors found: 3
2. Understand what experimental probability is:
The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials, typically expressed as a percentage.
3. Set up the ratio:
The probability of selecting a defective monitor is given by the ratio of defective monitors to the total number of monitors sampled.
[tex]\[
\text{Probability} = \frac{\text{Number of defective monitors}}{\text{Total number of monitors sampled}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Probability} = \frac{3}{600}
\][/tex]
4. Simplify the ratio:
Simplifying the fraction, we get:
[tex]\[
\frac{3}{600} = \frac{1}{200}
\][/tex]
5. Convert the ratio to a percentage:
To convert this fraction into a percentage, we multiply by 100:
[tex]\[
\text{Probability (in percentage)} = \left(\frac{1}{200}\right) \times 100 = 0.5\%
\][/tex]
6. Determine the correct answer option:
The result is 0.5%, which matches option C.
Thus, the experimental probability that a monitor selected at random will have a defect is [tex]\( 0.5\% \)[/tex] or option C.
