We are ordering a supply of wood. Each modular unit requires 81.1 square feet of wood. Standard practice involves ordering an additional 5000 square feet per month (regardless of X) as a contingency (spare wood to compensate for mistakes in carpentry). Consider Depingazt Industries' monthly wood order (MWO).

1) Express the random variable MWO as a simple algebraic function of X (the number of book-case units to be produced) being sure to consider the contingency.

2) Determine the following for the random variable MWO.

(a) Its expected value

(b) Its standard deviation

(c) Its coefficient of variation (let M refer to the variable MWO)