Question

Company X tested its light bulbs to see how long they would last. On a production line,
2,500
2,500 bulbs were taken and tested. The department in charge reported that out of
2,500
2,500 bulbs, there were
2,200
2,200 bulbs that burnt out after more than
1,500
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
1,500 hours? Write your answer in decimal form.(1 point)

Answer 1

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

Out of the 2,500 bulbs tested, 2,200 bulbs lasted more than 1,500 hours. The probability (likelihood) 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:

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

Calculating this gives:

\[
\text{Probability} = 0.88
\]

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