A die is tossed and corresponding to Ohm = {l, 2, 3, 4, 5, 6} a game is played as follows: a person wins $10 if {1} or {3}, loses $5 if {4} and {6}, wins $5 if {2} and loses $l0 if {5}. Compute the expected value and variance of the "winnings" in this game. A die is tossed and corresponding to Ohm = {1, 2, 3, 4, 5, 6} a random process X(omega, t) is formed as X(l, t) = - 3, X(2, t) = 3, X(3, t) = - (2 - t), X(4, t) = (2 - t), X(5, t) = - (1 + t), X(6, t) = (1 + t) Compute mu_x(t), sigma^2 _x (t) and R_x(t_1, t_2). Could X(t) be stationary?
Show transcribed image text A die is tossed and corresponding to Ohm = {l, 2, 3, 4, 5, 6} a game is played as follows: a person wins $10 if {1} or {3}, loses $5 if {4} and {6}, wins $5 if {2} and loses $l0 if {5}. Compute the expected value and variance of the "winnings" in this game. A die is tossed and corresponding to Ohm = {1, 2, 3, 4, 5, 6} a random process X(omega, t) is formed as X(l, t) = - 3, X(2, t) = 3, X(3, t) = - (2 - t), X(4, t) = (2 - t), X(5, t) = - (1 + t), X(6, t) = (1 + t) Compute mu_x(t), sigma^2 _x (t) and R_x(t_1, t_2). Could X(t) be stationary?