Inspecting Meat Is a Very Important Part of the Process

Essay

Inspecting meat is a very important part of the process of ensuring healthy food. So that meat inspectors do not fall into a pattern of inspection, they use a 4-sided die to decide whether or not to sample the meat from a particular "side" of beef. The meat inspector rolls the die and if it comes up a 4, a sample is taken of that meat. Forty sides of beef are available for possible inspection. Define random variable x = number of sides selected for inspection out of the 40 available.
a) What is the mean of the random variable x?
b) What is the standard deviation of the random variable x?