Answer :
There is a 2.28% probability that a randomly selected can of soda contains less than 11.5 oz based on the given mean volume of 12 oz and standard deviation of 0.25 oz.
The probability that a randomly selected can of soda contains less than 11.5 oz can be calculated using the standard normal distribution.
First, we need to convert the given value of 11.5 oz into a z-score.
The z-score formula is
(x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
So, the z-score is
(11.5 - 12) / 0.25 = -2.
Next, we can use a z-table or a calculator to find the probability associated with a z-score of -2. The table or calculator will give us the area under the standard normal distribution curve to the left of -2.
Looking up the z-score of -2 in the z-table,
we find that the probability is approximately 0.0228.
Therefore, the probability that a randomly selected can contains less than 11.5 oz of soda is approximately 0.0228 or 2.28%.
In summary, there is a 2.28% probability that a randomly selected can of soda contains less than 11.5 oz based on the given mean volume of 12 oz and standard deviation of 0.25 oz.
Learn more about the Probability from the given link-
https://brainly.com/question/13604758
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