Most credit card holders pay off their debt promptly, to avoid paying interest. However, sometimes, this is not possible. Interest paid monthly on credit card debt is normally distributed with a mean of $37 and a standard deviation of $3.

a) What is the probability that credit card holders pay less than $44 in debt? SHOW BASIC WORKINGS.

b) What interest payment caps the lowest 0.73% of all credit card holders?

SHOW BASIC WORKINGS.

c) If you are now told that interest paid monthly is negatively skewed, can you trust your answer to part a)? Briefly explain.