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 determine the likelihood that a light bulb purchased from Company X will burn for more than 1,500 hours, we can set up the probability based on the information provided from the test on the sample of light bulbs.

Given:

• Total bulbs tested = 2,500
• Bulbs that lasted more than 1,500 hours = 2,200

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

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

Plugging in the values:

\[ P(\text{lasting more than 1,500 hours}) = \frac{2200}{2500} \]

Calculating this gives:

\[ P = 0.88 \]

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