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Suppose the length of life of certain kind of light bulb, after it is installed, is exponentially distributed with a mean length of 8 days.

Suppose the length of life of certain kind of light bulb, after it is installed, is exponentially distributed with a mean length of 8 days. As soon as one bulb burns out, a similar one is installed in its place. Find the probability (correct to three decimal places) that more than 50 bulbs will be required during a one-year period ?

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