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(I) (4 points) The light bulb of a desk lamp has an exponentially distributed oper- ating lifetime With a mean of 0.6 years. As soon

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(I) (4 points) The light bulb of a desk lamp has an exponentially distributed oper- ating lifetime With a mean of 0.6 years. As soon as it fails, another is put in its place with identical properties. You have just bought a lamp. How many light bulbs should you have (including the one that came with the lamp) so that the probability that you will have to go buy more light bulbs in 1 year is less than 0.1? i. 1 light bulb ii. 2 light bulbs iii. 3 light bulbs iv. 4 light bulbs V. 5 light bulbs

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