# 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?

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