Company X tested its light bulbs 2 c how long they would last. On a production line 2,500 bublbs were taken n tested. Da department in charge reported da out of 2,500 bulbs. there were 2,200 bulbs dat brunt out after more than 1,500 hrs of use. Lucy purchased a light bulb from Company X. Wut is da likelihood day it will burn 4 more than 1,500 hrss? Write ur answer in decimal form

1 answer

To find the likelihood that a light bulb purchased from Company X will last more than 1,500 hours, we can use the data provided from the testing of 2,500 bulbs.

From the information given:

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

To find the probability (likelihood) that a randomly selected bulb will last more than 1,500 hours, we can use the formula for probability:

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

Substituting the values:

\[ P(\text{more than 1,500 hours}) = \frac{2,200}{2,500} \]

Now, we can calculate this:

\[ P(\text{more than 1,500 hours}) = 0.88 \]

So, the likelihood that a light bulb purchased from Company X will last more than 1,500 hours is 0.88.