28. LONG ANSWER QUESTION: At a certain gasoline station, the amount of gasoline sold to a randomly selected customer has mean 20 litres and standard deviation 5 litres. (a) On a day when 300 customers independently purchase gasoline at this station, what is the probability that the total amount of gasoline sold exceeds 6100 litres? (b) What is the probability that on a day with 300 customers, the total amount of gasoline sold is less than the total amount sold on a day with 290 customers?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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28. LONG ANSWER QUESTION: At a certain gasoline station, the amount of gasoline sold to
a randomly selected customer has mean 20 litres and standard deviation 5 litres.
(a) On a day when 300 customers independently purchase gasoline at this station, what is the
probability that the total amount of gasoline sold exceeds 6100 litres?
(b) What is the probability that on a day with 300 customers, the total amount of gasoline
sold is less than the total amount sold on a day with 290 customers?
Transcribed Image Text:28. LONG ANSWER QUESTION: At a certain gasoline station, the amount of gasoline sold to a randomly selected customer has mean 20 litres and standard deviation 5 litres. (a) On a day when 300 customers independently purchase gasoline at this station, what is the probability that the total amount of gasoline sold exceeds 6100 litres? (b) What is the probability that on a day with 300 customers, the total amount of gasoline sold is less than the total amount sold on a day with 290 customers?
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