Rotter Partners is planning a major investment. The amount of profitXis uncertain but a probabilistic estimate gives the following distribution (in millions of dollars).

Profit	1	1.5	2	4	10
Probability	0.07	0.18	0.35	0.05	0.35

(a) Find the mean profit_Xand the standard deviation_Xof the profit.

	= $ million
	= $ million

(b) Rotter Partners owes its source of capital a fee of$130,000plus10%of the profitsX. So the firm actually retainsY=0.9X-0.13from the investment. Find the mean and standard deviation ofY.

	= $ million
	= $ million