Question 1171152: 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? (Round your answer to 4 decimal places.)
Probability
(b) What is the probability of producing between 232,000 and 239,000 barrels? (Round your answer to 4 decimal places.)
Probability
(c) What is the probability of producing less than 239,000 barrels? (Round your answer to 4 decimal places.)
Probability
(d) What is the probability of producing less than 245,000 barrels? (Round your answer to 4 decimal places.)
Probability
(e) What is the probability of producing more than 225,000 barrels? (Round your answer to 4 decimal places.)
Probability
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sd
a. is simply 0.50
b.is between 0 and +1 sd or 0.3413 probability.
c.is less than z=1 or 0.8413 probability
d.This is z <13/7 or 2ndVARS2normal cdf(-6,13/7)=0.9864 probability. I use -6 but any numbers smaller is fine for the first argument.
e.That is z>-1 sd, which is the same as z < +1 sd or 0.8413 probability. Use symmetry when you can.
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