Use the following and the probability model to answer the questions (a)-(c) Pls show your work clearly:

Choose an adult woman at random. Here is the probability distribution (probability model) for the number of children the woman chosen has had:

Number of children 0 1 2 3 4 5
Probability 0.40 0.30 0.19 0.07 0.03 0.01

What is the expected value of the number of children a randomly chosen woman has had? Show your work