In filling bags with flour, the automatic filling process dispenses amounts that follow a normal distrubution with a mean of 10.15kg and a standard deviation of .12kg. the label on the bags indicate that the amount of flour in the bags is 10kg.
(0) define a random variable (with a letter and in words) to be used in questions 1-3, and identify its probability distribution
(1) if you buy one bag of this flour, what is the probability that the bag contains at least as much flour as is promised on the label?
(2) what is the probability that the one bag you bough contains between 10.1 and 10.3kg?
(3) bags that are overfilled are prone to bursting. if a study suggests that 2percent of all bags are prone to bursting, what fill in kg do such bags have?