Sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. if the can's contents follow a normal distribution, what is the probability that the mean contents of a six pack are less than 12 ounces?

The probability that the mean contents of a six pack are less than 12 ounces is 15.87%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

This probability is the pvalue of the zscore of

Z = 1 has a pvalue of .1587.

This means that the probability that the mean contents of a six pack are less than 12 ounces is 15.87%.

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step-by-step explanatio89