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General Electric manufactures a 60-watt light bulb, where the lifetimes of the light bulbs are normally distributed with a mean of 1550 hours with a

General Electric manufactures a 60-watt light bulb, where the lifetimes of the light bulbs are normally distributed with a mean of 1550 hours with a standard deviation of 57 hours. If 15 light bulbs are sampled, what is the probability that the average life of those 15 bulbs is greater than 1600 hours. Please round your answer to four decimal places.

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