For a certain type of electronic component the lifetime x

For a certain type of electronic component, the lifetime X (in thousands of hours) has an exponential distribution with mean u=3

(a) What is the probability that a new component will last longer than 1000 hours? In other words, find P(X > 1).

(b) If a component has already lasted 1000 hours, what is the probability that it will last at least 1000 hours more?

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For a certain type of electronic component the lifetime x : for a certain type of electronic component the lifetime x in thousands of hours has an exponential distribution with

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