I need help with the following statistics problem:

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 the table. at 61 62 63 150:) 0.1 0.6 0.3 Suppose two employees from this work group are selected at random. Find the exact probability distribution for the sample mean. 1?. (Hint - Filling in this rst table will help you complete the answer at the bottom.) Sample E Probability 61 61 61 61 63 62 62 62 62 63 63 61 63 62 _ 53 _ _ (List the values in order, as indicated by the missing variables) 5 x1 x2 x3 x4 x5 PE) M51) 1362) 1:53) M54) .055) (Use decimal notation. Give your answers as exact numbers.) X1 = X2 = X3 = x4 = x5 = P(x]) = p (x2) = P (x3) = P(x4) = P (x5) =