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

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)

GPT-4o mini · Answer

To determine the likelihood that a light bulb from Company X will burn for more than 1,500 hours, we can calculate the probability based on the test results.

Out of the 2,500 light bulbs tested, 2,200 of them burnt out after more than 1,500 hours of use.

To find the probability, we can use the following formula:

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

Substituting the values:

\[ \text{Probability} = \frac{2200}{2500} \]

Calculating that gives:

\[ \text{Probability} = 0.88 \]

So, the likelihood that a light bulb from Company X will burn for more than 1,500 hours is \(0.88\) in decimal form.