(Solution) - The light bulbs used to provide exterior lighting for a -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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The light bulbs used to provide exterior lighting for a large office building have an average lifetime of 700 hours. If the distribution of the variable x = length of bulb life can be modeled as a normal distribution with a standard deviation of 50 hours, how often should all the bulbs be replaced so that only 20% of the bulbs will have already burned out?