Question

Find the indicated probability.

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 33 oz?

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Answer 1

Given: = 32.3 oz, = 1.2 oz

To find the probability, we need to find the Z scores first.

Z = (X - )/ [/Sqrt(n)]. Since n = 1, Z = (X - )/

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P(X < 33), Z = (33 - 32.3)/1.2 = 0.58

The required probability from the normal distribution table for P(X < 33) = 0.7090