Suppose that the time a machine can operate before breaking down is exponentially distributed with a mean of 10 hours. If the machine has already been operating for 2 hours, what is the probability that it will last another 2 hours?

my try is ==> P(2< x <4) = P(X<4) - P(X<2)

my output is 0.1484 which is incorrect , any help as I am fresh learner?

  • 1
    $\begingroup$ Does conditional probability have anything to do with this question? $\endgroup$ – Andrew Chin Feb 14 at 14:17
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    $\begingroup$ What do you know about the exponential distribution? Forget formulas and expressions, what is, in your opinion, the defining feature of the exponential distribution? $\endgroup$ – Arthur Feb 14 at 14:18
  • $\begingroup$ @Arthur I will be grateful if you explain it in smooth way $\endgroup$ – newuser Feb 14 at 15:54

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