In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows: X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11

a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).