# Question

Georgia residents spent an average of $470.73 on the lottery in 2010, or 1% of their personal income (http://www.msn.com, May 23, 2012). Suppose the amount spent on the lottery follows a normal distribution with a standard deviation of $50.

a. What is the probability that a randomly selected Georgian spent more than $500 on the lottery?

b. If four Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500?

c. If four Georgians are randomly selected, what is the probability that all of them spent more than $500 on the lottery?

a. What is the probability that a randomly selected Georgian spent more than $500 on the lottery?

b. If four Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500?

c. If four Georgians are randomly selected, what is the probability that all of them spent more than $500 on the lottery?

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