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Probability after time

  1. Jan 22, 2012 #1
    Hello,

    i've been wondering about the following. If only this is information is given:

    "each 10 days, the probability that machine A fails is 10%, after which the machine A receives
    maintenance"

    is it correct to say that each 5 days the probability is 10%/10= 1%?
     
  2. jcsd
  3. Jan 22, 2012 #2

    mathman

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    Science Advisor
    Gold Member

    Assuming an exponential model for decay (typical for problems of this nature), the probability for survival after 10 days is .9 (90%), so the probability after 5 days is √.9 ~ .95, so the failure probability would be ~ .05 (5%).
     
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