Question: jim is analysing dataset for a bottle manufacturing company that...
Jim is analysing dataset for a bottle manufacturing company that consists of the liquid capacity of each bottle. The company informs him that the measured capacities follow a Normal distribution with an average of 750 ml and a standard deviation of 5ml.
a) What is the probability a randomly selected bottle has liquid capacity less than 740ml? Include the most appropriate diagram and indicate the z-score.
b) What is the liquid capacity of a bottle that would exceed the largest 2.5% of bottles?