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The lifetime \(D\) of a digital camera before the first breakdown follows an exponential distribution with parameter \(\lambda\). Janek just bought one. On average, users report a first breakdown after 4 years of use.
Determine the parameter \(\lambda\) of the exponential distribution.
What is the probability that it functions for at least 10 years without a breakdown?
Three years later, Janek has not had a breakdown. What is the probability that his camera functions for 2 more years without a breakdown?
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