The recovery time after a Caesarean section (C-section) is 6 weeks with a standard deviation of 1.5 week. Assume the recovery time is normally distributed. a) [6 pts] What percentage of patients will recover in less than or equal to 4 weeks? Draw and label the probability region described by the z-value. (You may use R or the appendices from the book to support finding the probability.) b) [7 pts] A company has decided it will give 7 weeks of paid maternity leave. What percentage of patients that had a C-section will take 7 or more weeks to recover? Do you think this length maternity leave for patients that underwent a C-section is appropriate? Justify your answer. c) [4 pts] What length maternity leave would be needed for 99.99% of patients to have recovered