After how many hours should all of the bulbs to be replaced


Problem: A survey found it is cost-efficient to replace all street-light bulbs at once rather than replacing individually. if the lifetime of a bulb is normally distributed with a mean of 2500 hours and a standard deviation of 100 hours. After how many hours should all of the bulbs to be replaced if no more than 4% of the bulbs to burn out before they are replaced.

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