# An education finance corporation claims that the average credit card debts carri

**Question description**

An education finance corporation claims that the average credit card debts carried by undergraduates are normally distributed, with a mean of $3173 and a standard deviation of $1020.

(1) What is the probability that a randomly selected undergraduate, who is a credit card holder, has a credit card balance less than $2663?

(2) What is the probability that a randomly selected undergraduate, who is a credit card holder, has a credit card balance between $2153 and $3683?

(3) You randomly select 25 undergraduate who are credit card holders. How many students are
expected that their mean credit card balance is less than $2663?

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