For planning purposes, General Electric has determined the probability distribution for the retirement age X of employees in the mortgage work group. The probability distribution for X is given in thetable.

x	6060	6161	6262
()p(x)	0.30.3	0.60.6	0.1

Suppose two employees from this work group are selected at random. Find the exact probability distribution for the sample mean,.X.

x	1x1	2x2	3x3	4x4	5x5
()p(x)	(1)p(x1)	(2)p(x2)	(3)p(x3)	(4)p(x4)	(5)p(x5)

(Use decimal notation. Give your answers as exactnumbers.)

(1)=

(2)=

(3)=

(4)=