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A real estate agent estimates that the probability function for the number of house sales that will be completed next week is:

$\begin{array}{c|c} \text{Number of sales} & \text{Probability} \\ \hline 0 & \\ 1 & \\ 2 & \\ 3 & \\ \end{array}$

Answer the following questions, rounding your answers to two decimal places where appropriate.

(a) What is the expected number of house sales next week?

(b) What is the variance of the number of house sales next week?

(c) What is the standard deviation of the number of house sales?

You can earn partial credit on this problem.