Answer :
Final answer:
The question is about finding the percentile for a soda with a volume of 11.5 oz in a normal distribution with mean and standard deviation provided.
Explanation:
The question is related to the concept of percentiles in statistics. A percentile represents the percentage of data points that are equal to or below a certain value in a given data set. In this case, we have a normal distribution of soda can volumes with a mean of 12 oz. and a standard deviation of 0.25 oz.
To find the percentile for a soda can with a volume of 11.5 oz., we need to calculate the z-score of 11.5 oz. using the formula: z = (x - mean) / standard deviation. Plugging in the values, z = (11.5 - 12) / 0.25 = -2. Therefore, the percentile for a soda can with 11.5 oz. is approximately the same as the percentile of a z-score of -2, which is the 3rd percentile.
Learn more about percentiles here:
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