Question: Gain Communications. Examples 4.16 and 4.17 concern a probabilistic projection of sales and profits by an electronics firm, Gain Communications. The mean and variance of

Gain Communications. Examples 4.16 and 4.17 concern a probabilistic projection of sales and profits by an electronics firm, Gain Communications. The mean and variance of military sales X appear in Example 4.17 (page 252). You found the mean and variance of civilian sales Y in Exercise 4.61

(page 252).

(a) Because the military budget and the civilian economy are not closely linked, Gain is willing to assume that its military and civilian sales vary independently. What is the standard deviation of Gain’s total sales X + Y ?

(b) Find the standard deviation of the estimated profit, Z =

2000X + 3500Y .

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