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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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