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In the casino game Roulette, there is a wheel with 38 spots. The spots are labeled 1-36, 0, and 00. The wheel is spun and

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In the casino game Roulette, there is a wheel with 38 spots. The spots are labeled 1-36, 0, and 00. The wheel is spun and one of the spots is randomly chosen, with each spot equally likely to be chosen. One of the offered bets is to bet that an odd number will be chosen. If an odd number is chosen you win $1, and if any other number is chosen then you lose Si. Let X denote the random variable that denotes the money won/lost on one spin of the wheel (from your perspective). What is the expected value of X? Suppose you play the game for 5 spins. Let X, be the random variable that denotes the outcome of the ith roll, and let X denote the outcome over all 5 spins: i.e. X = X-1 + X_2 - X_3 + X-4 + X_5, . Use the linearity of expectation to compute the expected value of X

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