The credit card debt of college seniors follows a normal distribution with mean $3,262 and standard deviation $1100. Show your work or calculator commands to answer the following questions.
What percent of college seniors owe less than $2000 to credit card companies?
Ninety percent of college seniors owe less than what amount of debt to credit card companies?
What is the probability that a randomly selected college senior owes more than $4200 to credit card companies?
For a random sample of 25 college seniors, what is the probability that their sample mean credit card debt is more than $4200?
Determine if any of the probabilities you found in parts C) and D) is an unusual probability. Justify your answer.