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Failure rate of a system

If a system has a 10% independent chance of failing in any given hour, what are the chances of it failing in a given 2 hour period or n-hours period? Note: 10% failure probability in 1 hour has nothing to do with 10% of the time . It's just that a system has a 10% independent chance of failing in any given hour

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  • Pfail是系统在任何给定小时内发生故障的概率。
  • 那么Pnofail,系统在任何给定小时内不发生故障的概率为1 - Pfail
  • 它在 2 小时内不失败的机会是 ( Pnofail) 2,因为它必须在每个小时内独立地不失败,并且两个独立事件的联合概率是每个事件概率的乘积(即P(A ∩ B) = P(A)*P(B))。
  • 那么,更一般地说,chance of it not failing in n hours是 ( Pnofail) n
  • n它在几个小时内失败的机会是1 - (chance of not failing in n hours)

你应该能够从那里解决它。

于 2012-12-01T06:19:03.553 回答