Question

The amount of time (measured in days) a watch will run without having to be reset...

The amount of time (measured in days) a watch will run without having to be reset is an exponential random variable with λ = 1/50. Find the probability that

  1. A watch will have to be reset in less than 20 days
  2. A watch will go more than 60 days before a reset
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Answer #1

P(X < x) = 1 - e-x/50

a) P(X < 20) = 1 - e-20/50 = 0.3297

b) P(X > 60) = e-60/50 = 0.3012

                                                                                                                             

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