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4. The lifetime (in hours) of an electronic device is a random variable that has an exponential probability density function. The average lifetime of this

4. The lifetime (in hours) of an electronic device is a random variable that has an exponential probability density function. The average lifetime of this device is 50 hours.

a. What is the probability that the device will have a failure in the first 25 hours of operation (25 hours or less)?

b. What is the probability that the device will work more than 100 hours without failure?

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