Miguel buys a large bottle and a small bottle of juice.The amount of juice that the manufacturer puts in the large bottle is a random variable with a mean of 1024 ml and a standard deviation of 12 ml.The amount of juice that the manufacturer puts in the small bottle is a random variable with a mean of 504 ml and a standard deviation of 2 ml.If the total amount of juice in the two bottles can be described by a Normal model,what is the probability that the total amount of juice in the two bottles is more than 1554.8 ml?
A)0.014
B)0.011
C)0.018
D)0.986
E)0.982

Question

Quizplus · Accepted Answer

The total amount of juice in the two bottles is a random variable with a mean of 1024 + 504 = 1528 ml and a standard deviation of sqrt(12^2 + 2^2) = 12.2 ml. The probability that the total amount of juice in the two bottles is more than 1554.8 ml is P(X > 1554.8) = P(Z > (1554.8 - 1528) / 12.2) = P(Z > 2.2) = 0.014.

Miguel Buys a Large Bottle and a Small Bottle of Juice.The