A bottling company produces bottles of fruit juice that are filled, on average, with 32 ounces of
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A bottling company produces bottles of fruit juice that are filled, on average, with 32 ounces of juice. Due to random fluctuations in the machinery, the actual volume of juice is normally distributed with a standard deviation of 0.4 oz. Let P be the probability of a bottle having less than 31 oz. Express P as an integral of an appropriate density function and compute its value numerically.
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