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Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of...

Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of 3 ounces. Assume the amount of gold found per 1000 tons of dirt is normally distributed.

a) What is the probability the miners find less than 12 ounces of gold in the next 1000 tons of dirt excavated?

b) What is the probability the miners find less than 6 ounces of gold in the next 1000 tons of dirt excavated?

c) What is the probability the miners find less than 16 ounces of gold in the next 1000 tons of dirt excavated?

d) What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

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