Question: In the casino game of roulette, a gambler can bet on which of 38 numbers will be the result when the roulette wheel is spun.

In the casino game of roulette, a gambler can bet on which of 38 numbers will be the result when the roulette wheel is spun. On a $2 bet, a gambler gains $70 if he or she picks the right number but loses the $2 otherwise.

a. Let X 5 amount gained or lost on a $2 bet on a roulette number. Write out the probability distribution of X.

b. Calculate E(X), the mean value of X. What does this value indicate about the advantage that a casino has over roulette players?

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