#### Answer

Mean =μ = $∑xP(x)$ = 2.48 houses
Standard Deviation
= $\sqrt∑x^{2}P(x) -μ^{2}$
= $\sqrt 7.84-2.48^{2}$
=1.3 houses
It is expected that 2.48 houses are sold per month by a real estate agent, with a standard deviation of 1.3 houses.

#### Work Step by Step

See above.