On a production line 2,500 bulbs were tested. 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 what is the likelihood that it will burn for more than1,500?
The probability that Lucy's bulb will burn out after more than 1,500 hours of use can be calculated as the ratio of the number of bulbs that burnt out after more than 1,500 hours to the total number of bulbs tested:
Probability = Number of bulbs that burnt out after more than 1,500 hours / Total number of bulbs tested
Probability = 2,200 / 2,500
Probability = 0.88
Therefore, the probability that Lucy's bulb will burn out after more than 1,500 hours of use is 0.88 or 88%.
To calculate the likelihood that Lucy's light bulb will burn for more than 1,500 hours, we need to determine the proportion of bulbs in the sample that burned for more than 1,500 hours.
Out of 2,500 bulbs tested, 2,200 burned for more than 1,500 hours. We can find the proportion by dividing the number of bulbs that burned for more than 1,500 hours by the total number of bulbs tested:
Proportion = Number of bulbs that burned for more than 1,500 hours / Total number of bulbs tested
Proportion = 2,200 / 2,500
To convert this proportion into a percentage, we can multiply it by 100:
Percentage = Proportion * 100
Percentage = (2,200 / 2,500) * 100
Calculating this, we find that the percentage is:
Percentage = 88%
Therefore, the likelihood that Lucy's light bulb will burn for more than 1,500 hours is 88%.