SOLUTION: The weight of food packed in certain containers has a mean of 16 ounces and a standard deviation of 0.6 ounces. There are 36 containers placed in a box for shipping. Find the proba

Question 427216: The weight of food packed in certain containers has a mean of 16 ounces and a standard deviation of 0.6 ounces. There are 36 containers placed in a box for shipping. Find the probability that a randomly picked box will weight over 580 ounces.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let X = r.v. representing the weight of certain containers.
Then the distribution in question is Y = 36X. This is also a normal distribution with mean E(Y) = E(36X) = 36E(X) = 36*16 = 576, and variance Var(Y) = Var(36X) = = 466.56. The standard deviation is thus . You're looking for the probability , or P(Z > 0.185). Now use any table of standard normal probabilities.
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