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?
A)0.5987
B)0.0987
C)0.4013
D)0.3821

Question

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? 
A)0.5987
B)0.0987
C)0.4013
D)0.3821

Quizplus · Accepted Answer

To find the probability that the volume is less than 32 oz, calculate the z-score: z = (32 - 32.3) / 1.2 = -0.25. Using a standard normal distribution table, the probability corresponding to z = -0.25 is approximately 0.4013.

Find the Indicated Probability or Percentage for the Normally Distributed