The manufacturing process for Gummy Falcons has been designed so that the average weight of all Gummy Falcons is 2.50 ounces. The weights of the individual Gummy Falcons vary around the mean due to various random influences. The extent of this variation is inherent in the design of the manufacturing process and is controllable by the selection of the equipment which is used. As would be expected, the level of weight variation is inversely related to the cost of the production equipment. SSCC selected a production process for Gummy Falcons in which the weights of individual Gummy Falcons were normally distributed with a standard deviation of 0.15 ounces.
Suppose Sam Spade inspects 10 Gummy Falcons. What is the probability that the average weight of the ten Gummy Falcons is more than 2.60 ounces?