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# Normal Distribution

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?

#### Solution Preview

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 ...

#### Solution Summary

Probability calculations based on normal distribution.

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