Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed 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?

40.13% of the soda bottles will have a volume less than 32 oz.

First, we need to find the z-score. That is the number of standard deviations below the mean.

(32 - 32.3) / 1.2 = -0.25

A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.