Company X tested its light bulbs to see how long they would last. On a production line, 2,500

Question

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)

Answer 1

To find the likelihood (or probability) that a light bulb purchased from Company X will last more than 1,500 hours, we need to use the data provided from the test.

Out of the 2,500 tested bulbs:

• 2,200 bulbs lasted more than 1,500 hours.

To find the probability (P) that a bulb lasts more than 1,500 hours, we can use the formula:

\[ P(\text{bulb lasts more than 1500 hours}) = \frac{\text{Number of bulbs lasting more than 1500 hours}}{\text{Total number of bulbs tested}} \]

Substituting the numbers:

\[ P(\text{bulb lasts more than 1500 hours}) = \frac{2200}{2500} \]

Calculating the probability:

\[ P = \frac{2200}{2500} = 0.88 \]

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