The mean time between failures (often called MTBF) of the

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QUESTION:

The mean time between failures (often called MTBF) of the battery of a particular brand of computers is 450 hours. Assume that the time between failures is governed by an exponential distribution. What is the probability that the battery will fail (8) within 300 hours? (b) will last at least 500 hours? (c) will fail between 300 to 600 hours?

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QUESTION:

The mean time between failures (often called MTBF) of the battery of a particular brand of computers is 450 hours. Assume that the time between failures is governed by an exponential distribution. What is the probability that the battery will fail (8) within 300 hours? (b) will last at least 500 hours? (c) will fail between 300 to 600 hours?

ANSWER:

Step 1 of 4

Given, mean time between failure,

The exponential distribution probability of occurrence of an event, in this case failure of the battery is given by the equation,

Where:

Thus  is

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