The engineer at a bottling facility wants to determine the probability that a randomly chosen can of soda has a fill weight that is less than 11.5 ounces, greater than 12.5 ounces, or between 11.5 and 12.5 ounces. The engineer assumes that the fill weights of soda cans follow a normal distribution with a mean of 12 ounces and a standard deviation of 0.25 ounces.
This example uses the normal distribution. However, these steps are similar for any distribution that you select.
 

 
