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A casino knows that people play the slot machines in hopes of hitting the jackpot but that most of them lose their dollar. Suppose a certain machine pays out an average of $0.92, with a standard deviation of $120.
a) Why is the standard deviation so large?
b) If you play 5 times, what are the mean and standard deviation of the casino’s profit?
c) If gamblers play this machine 1000 times in a day, what are the mean and standard deviation of the casino’s profit?
d) Is the casino likely to be profitable? Explain.
In the chapter, most of the taxes we discussed were equal to a certain dollar amount per unit. In this case, a tax on sellers results in a parallel upward shift of the supply curve; a tax on buyers results in a parallel downward shift of the demand curve. In reality, however, many taxes are expressed as a percentage. Graphically, how would you show a 100% tax on the sellers of a good? How would you show a 100% tax on the buyers of a good? One of the results of this chapter is that it doesn?t matter on whom the tax is levied?the result is the same. Show graphically that this also applies to percentage taxes.