Question

Company X tested its lightbulbs to see how long they would last on a production line 2500 bulbs were taken and tested. The department in charge reported that out of the 2500 bulbs there were two 2200 bulbs that burnt out after more than 15:00 of views, Lucy purchased a lightbulb from company asked what is the likelihood that it will burn for more than 15:00 Write your answer in decimal form

Answer 1

To determine the likelihood that a lightbulb purchased from Company X will last more than 15:00 hours, we can use the data provided about the 2500 bulbs tested.

According to the report:

• Total bulbs tested: 2500
• Bulbs that burnt out after more than 15:00 hours: 2200

To find the probability that a randomly selected bulb will last more than 15:00 hours, we can use the following formula:

\[ \text{Probability} = \frac{\text{Number of bulbs lasting more than 15:00 hours}}{\text{Total number of bulbs tested}} \]

Plugging in the numbers:

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

Calculating this gives:

\[ \text{Probability} = 0.88 \]

Therefore, the likelihood that a lightbulb purchased from Company X will burn for more than 15:00 hours is 0.88 (in decimal form).