The average credit card debt for college seniors is $3262. The debt has a normal distribution with

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Question:

The average credit card debt for college seniors is $3262. The debt has a normal distribution with a standard deviation of $1100.

a) What is the proportion of college seniors who owe less than $4000?

b) What is the proportion of college seniors who owe more than $4000?

c) What is the proportion of college senior who owe between $4000 and $4500?

d) What is the proportion of college seniors who owe at least $2000?

e) Find the amount which separates the top 4% of credit card debts for college seniors.

d) Find the 65th percentile.

A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam and scores in the lower 2.5%, they are eligible for a free intensive course to help them succeed in their math class. Assume that the exam is normally distributed. What is the score that cuts off the bottom 2.5%?