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hodyreva [135]
2 years ago
8

A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distr

ibution applies. ​(a) What is the mean time to​ failure? ​(b) What is the probability that 300 hours will pass before a failure is​ observed?
Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

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

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Answer:

<u>Domain:</u>

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<u>Range:</u>

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<em />

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