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) bot
To find the likelihood that Lucy's light bulb will burn for more than 1,500 hours, we can use the information provided by the department in charge. Out of the 2,500 bulbs tested, 2,200 bulbs burnt out after more than 1,500 hours of use.
The likelihood can be calculated by dividing the number of bulbs that burnt out after more than 1,500 hours (2,200) by the total number of bulbs tested (2,500):
Likelihood = (Number of bulbs that burnt out after more than 1,500 hours) / (Total number of bulbs tested)
Likelihood = 2,200 / 2,500
Simplifying the fraction, we get:
Likelihood = 0.88
Therefore, the likelihood that Lucy's light bulb from Company X will burn for more than 1,500 hours is 0.88 in decimal form.
The probability that Lucy's light bulb from Company X will burn for more than 1,500 hours is 0.88.
This is because out of the 2,500 bulbs tested, 2,200 burned out after more than 1,500 hours of use.
So the probability (or likelihood) of a bulb burning out after more than 1,500 hours is 2,200/2,500, which simplifies to 88/100 or 0.88 as a decimal.