The amount ofregular unleaded gasoline purchasedevery weekat a certain gas station is normally distributed with a mean of 50,000 gallons and a standard deviation of 10,000 gallons. What is the probability that for a random sample of 100 weeks the amount of gasoline is(a)less than 48,000 gallons?(b)between47,500and48,000gallons?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The amount of
regular unleaded gasoline purchased
every week
at a certain gas station is normally distributed with a mean of 50,000 gallons and a standard deviation of 10,000 gallons. What is the probability that for a random sample of 100 weeks the amount of gasoline is
(a)
less than 48,000 gallons?
(b)
between
47,500
and
48,000
gallons?

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