Question

A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. ​(a) What is the mean time to​ failure? ​(b) What is the probability that 300 hours will pass before a failure is​ observed?

Answer 1

Answer:

Step-by-step explanation:

Given that a certain type of device has an advertised failure rate of 0.01 per hour.

Since failure rate is constant we find that time required for one failure

=1(100) =100

In 100 hours 1 failure can be expected

a)Mean time to failure $= 100 hours$

b) the probability that 300 hours will pass before a failure is​ observed

= first 5 hours not failed and next hour failed

= $(1-0.01)^5 (0.01)\\= 0.00951$