What is the probability of an item failing in less than 5 hours if it has a constant failure rate of 1/hour?

Question

Quizplus · Accepted Answer

The probability of an item failing in less than 5 hours is equal to the area under the failure rate curve from 0 to 5 hours. Since the failure rate is constant at 1/hour, we can model it with a uniform distribution. The probability of failure in less than 5 hours is then equal to the area of a rectangle with base 5 and height 1, which is 5*1=5. The total area under the curve is also 1 (since the failure rate is a probability density function), so the probability of failure in less than 5 hours is 5/1=0.99326. Therefore, the best choice is C.

What Is the Probability of an Item Failing in Less