Question: If a mechanical component fails according to the exponential distribution with a mean value of (5000 mathrm{~h}), what is the probability that the component will

If a mechanical component fails according to the exponential distribution with a mean value of $5000 \mathrm{~h}$, what is the probability that the component will fail by 1000 h? How many additional hours before this probability is doubled? Sketch the density function.

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