a. The weights of domestic house cats are normally distributed with an average of 9.9 pounds with standard deviation of 2.3 pounds. What is the probability of having a cat that weighs between 14 and 16 pounds? Show your work.
b.An apartment building is being built to fill the need for more low-income housing in a certain city. The average monthly rent for a 2 bedroom apartment in this city is $800 with a standard deviation of $70. The building owner wants to be in the bottom 10% of this price range. Assuming rents are normally distributed, what is the most the building owner can charge for rent and still be in the bottom 10%? Show your work.