SOLUTION: A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation o

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Question 1183683: A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20.
normally distributed. a. If the process fills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring?
b. What is the probability of underfilling the bottles by at least 30 milliliters?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
z>50/20 or 2.5
This probability is 0.0062
-
That is the probability of z < -30/20 or -1.5, which is 0.1056