Company X tested its light bulbs to see how long they would last. On a production line, 2,500 bulbs were taken and tested. The department in charge reported that out of 2,500 bulbs, there were 2,200 bulbs that burnt out after more than 1,500 hours of use. Lucy purchased a light bulb from Company X. What is the likelihood that it will burn for more than 1,500 hours? Write your answer in decimal form.(1 point)

Question

GPT-4o mini · Answer

To find the likelihood that a bulb purchased from Company X will burn for more than 1,500 hours, we can use the data from the test.

Out of the 2,500 bulbs tested, 2,200 bulbs lasted more than 1,500 hours.

The probability (likelihood) that a bulb will last more than 1,500 hours can be calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of bulbs lasting more than 1,500 hours}}{\text{Total number of bulbs tested}} \]

Substituting the values:

\[ \text{Probability} = \frac{2,200}{2,500} \]

Now we do the division:

\[ \text{Probability} = 0.88 \]

Therefore, the likelihood that a bulb purchased from Company X will burn for more than 1,500 hours is 0.88.