In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the num
ber 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).
