The amount of regular unleaded gasoline purchased every week at a gas station near UCLA
follows the normal distribution with mean 50000 gallons and standard deviation 10000 gallons.
The starting supply of gasoline is 74000 gallons, and there is a scheduled weekly delivery of
47000 gallons.
(a). Find the probability that, after 11 weeks, the supply of gasoline will be below 20000
gallons.
(b). How much should the weekly delivery be so that after 11 weeks the probability that the
supply is below 20000 gallons is only 0.5%?
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