The volumes of soda in quart soda bottles are normally distr

The volumes of soda in quart soda bottles are normally distributied with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Solution

The volume V is normally distributed with a mean of 32.3 and a standard deviation of 1.2. A first step is to standardize (express the probability statement about the volume as a probability statement about the standard normal distribution).

P( V < 32 ) = P( z < (32 - 32.3)/1.2 ) = P( z < -0.25 ) = 0.401294

A z-score table can be used to find the desired probability. It should be less than but very close to P(z < 0) = 0.5.

Hence , u should use the Answer 0.401294