The amount to fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 4.0 ml. The mean is adjustable.
(a) Where should the mean be set to ensure a 90% probability that a half-liter bottle will not be underfilled? (round awnser to 2 decimal places.) Mean=____ ml
(b) Where should the mean be set to ensure a 95% probability that a half-liter bottle will not be underfilled?(round your awnser to 2 decimal places) mean=___ml
(c) where shoud the mean be set to ensure a 99.0% probability that a half-liter bottle will not be underfilled? (round awnser to 2 decimal places) mean=____ml