Casino 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 $0.82, with a...

Casino 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 $0.82, 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.