4. According to Sallie Mae surveys and Credit Bureau data, college students carried an average of $3100 credit card debt in 2008. Suppose the probability distribution of the current credit card debts for all college students in the United States is known but its mean is $3100 and the standard deviation is $650. Let ī be the mean credit card debt of a random sample of 300 U.S. college students. (a) What is the probability that the mean of the current credit card debts for this sample is within $75 of the population mean? (b) What is the probability that the mean of the current credit card debts for this sample is lower than the population mean by $60 or more?

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