The volumes of soda in 1 litre cola bottle can be described by a Normal model with a mean of 0.95 L and a standard deviation of 0.04 L.What percentage of bottles can we expect to have a volume less than 0.94 L?
A)40.13%
B)9.87%
C)47.15%
D)38.21%
E)59.87%

Question

Quizplus · Accepted Answer

The z-score for a volume of 0.94 L is (0.94 - 0.95) / 0.04 = -0.25. The percentage of bottles with a volume less than 0.94 L is the area under the standard normal distribution to the left of -0.25, which is 0.4013 or 40.13%.

The Volumes of Soda in 1 Litre Cola Bottle Can