Scenario: A certain brand of apple juice is supposed to have 64 ounces of juice. Because the filling machine is not precise, the exact amount of juice varies from bottle to bottle with a standard deviation of 0.06 ounces. However, the average amount of juice should be 64 ounces. The quality control manager occasionally needs to randomly select bottles and measure their contents to see if the machine is under-or over-filling. When you interview the quality control manager, she tells you that historically the probability of randomly selecting a bottle containing less than 63 ounces of juice is approximately 0%. What kind of probability would this be (classical, empirical, or subjective), and why?

She picks a bottle of apple juice off the line, measures the contents, and tells you that the juice content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?