Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette wheel has 383838 numbered slots — half of the slots from 111 to 363636 are red and the other half are black. Slots 000 and 000000 are both green. Suppose that a player bets \$1$1dollar sign, 1 on the color red. If the ball lands in a red slot, the player gets their initial \$1$1dollar sign, 1 back plus a payout of \$1$1dollar sign, 1. If the ball doesn't land in a red slot, they lose their \$1$1dollar sign, 1 bet. Let X=X=X, equals the player's net gain from a \$1$1dollar sign, 1 bet on a the color red. Here is the probability distribution of XXX: Win Lose X=\text{ net gain}X= net gainX, equals, start text, space, n, e, t, space, g, a, i, n, end text \$1$1dollar sign, 1 -\$1−$1minus, dollar sign, 1 P(X)P(X)P, (, X, )\dfrac{18}{38} 38 18 start fraction, 18, divided by, 38, end fraction \dfrac{20}{38} 38 20 start fraction, 20, divided by, 38, end fraction Calculate the mean of XXX. You may round your answer to the nearest thousandth. E(X)=E(X)=E, (, X, ), equals dollars