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A Certain Brand of Flood Lamps Has a Lifetime That

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A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3750 hours and a standard deviation of 300 hours.
a. What proportion of these lamps will last for more than 4000 hours?
b. What lifetime should the manufacturer advertise for these lamps in order that only 2% of the lamps will burn out before the advertised lifetime?


Definitions:

Mass Production

The large-scale manufacturing of goods using assembly line techniques and machinery, aimed at producing large quantities of standardized products efficiently.

New-Category Entries

Products that are new to a company but not new to the marketplace.

Inventions

The act of creating or designing something new that has never existed before, often protected legally by patents.

Marketplace

A venue, physical or digital, where goods, services, or information are exchanged.

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