Suppose that x is a random variable with the following probability mass function (pmf):
p(x)=P(x=x)={(0.4 if x=1),(0.3 if x=2),(0.2 if x=3),(0.1 if x=4),(0 otherwise ):}
Furthermore, suppose additionally that the random variables Y and Z are defined as follows:
Y=2x-3
Z=45.6-x^(3)
Find the expected values of each of these three random variables. Give your answer as a whole number wherever possible.