To find the likelihood that a light bulb purchased from Company X will last more than 1,500 hours, we can use the data provided from the testing of 2,500 bulbs.
From the information given:
- Total bulbs tested: 2,500
- Bulbs that lasted more than 1,500 hours: 2,200
To find the probability (likelihood) that a randomly selected bulb will last more than 1,500 hours, we can use the formula for probability:
\[ P(\text{more than 1,500 hours}) = \frac{\text{Number of bulbs lasting more than 1,500 hours}}{\text{Total number of bulbs tested}} \]
Substituting the values:
\[ P(\text{more than 1,500 hours}) = \frac{2,200}{2,500} \]
Now, we can calculate this:
\[ P(\text{more than 1,500 hours}) = 0.88 \]
So, the likelihood that a light bulb purchased from Company X will last more than 1,500 hours is 0.88.