Normal Distribution
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Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels. (a) What is the probability of producing at least 232,000 barrels? (b) Between 232,000 and 239,000 barrels? (c) Less than 239,000 barrels? (d) Less than 245,000 barrels? (e) More than 225,000 barrels?
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Probability calculations based on normal distribution.
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Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels. (a) What is the probability of producing at least 232,000 barrels? (b) Between 232,000 and 239,000 barrels? (c) Less than 239,000 barrels? (d) Less than 245,000 barrels? (e) More than 225,000 barrels?
a) probability of producing at least 232,000 barrels?
At least232,000barrels means 232,000or more
Mean=M =232,000barrels
Standard deviation =s=7,000barrels
x=232,000barrels
z=(x-M )/s=0=(232000-232000)/7000
Cumulative Probability ...
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