Alarge part of the luggage market is made up of overnight bags. these bags vary by weight, exterior appearance, material, and size. suppose the volume of overnight bags is normally distributed with mean μ = 1700 cubic inches and standard deviation σ = 200 cubic inches. note that if you do not round your z score to two decimal places, your answers may be marked wrong.
a) suppose one bag is selected at random. what is the probability that the volume is greater than 1790 cubic inches? b) suppose 15 bags are selected at random. what is the probability that the average volume is greater than 1790 cubic inches? c) why are the answers to parts a) and b) different? in particular, state which probability greater than 1790 cubic inches? volume is greater than 1790 cubic inches? is smaller and explain the theory for why this probability is smaller (without referencing the calculations).