4) consider the game of American roulette. There are total 38 slots. Where the ball can fall in when the roulette wheel stops: 36 winnable slots (number 1to 36) and 2 non - winnable slots (0 and 00). In all American roulette games, when the ball fills in the 0 and 00 slot, the house takes your money or you lose your bet In this question ,we focus on betting $1 on even numbers and define the random variable x as the winning amount. If the ball falls in any of the even number slots ( like 2,4,6....34, and 36 ) , you win $1 (or have a winning amount is +$1,or positive $1). Otherwise,you lose the $1 bet (or have a winning amount of -$1 ,or negative $1). A) construct the probability distribution table for the random variable x . B) calculate the expected value of x . C) provide the interpretation of the expected value from the gamblers point of view briefly explain to a casual gambler why they will always lose money in the long run