Problem 8 (Unit 6). Monthly rent for a one-bedroom apartment (X) follows a normal distribution, with a mean value of $700 and a standard deviation of $100.

a. What is the probability that a randomly selected individual pays more than $650 rent? Show your work by drawing a normal distribution that includes your answer.

b. A rental payment in the bottom 10% is considered to be low. What is the cutoff rent for an individual to have a low rental payment? Show your work by drawing a normal distribution that includes your answer.

c. A rental payment in the top 10% is considered to be high. What is the cutoff rent for an individual to have a high rental payment? Show your work by drawing a normal distribution that includes your answer.

d. Find Q1, Q2, and Q3 of the distribution of X. Show your work by drawing a normal distribution that includes your answer.