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

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Answer 1

To find the likelihood that a randomly selected light bulb from Company X will burn for more than 1,500 hours, you can use the ratio of the number of bulbs that lasted more than 1,500 hours to the total number of bulbs tested.

The data provided states:

• Number of bulbs tested = 2,500
• Number of bulbs that burnt out after more than 1,500 hours = 2,200

The likelihood (probability) can be calculated as follows:

\[ \text{Probability} = \frac{\text{Number of bulbs lasting more than 1,500 hours}}{\text{Total number of bulbs tested}} = \frac{2,200}{2,500} \]

Now, calculating the fraction:

\[ \frac{2,200}{2,500} = 0.88 \]

Therefore, the likelihood that Lucy’s light bulb will burn for more than 1,500 hours is 0.88 (in decimal form).