1. A medical research project examined the relationship between the subject's weight and recovery time from surgical procedure, as shown in the table below.
Underweight Normal weight Overweight Totals
Less than 5 days 8 20 6
5 to 9 days 35 85 10
Over 9 days 18 45 37
Totals
a. Use relative frequency to develop a joint probability table to show the marginal probabilities.
b. What is the probability a patient will recover in fewer than 5 days?
c. Given that recovery takes over 9 days, what is the probability the patient is overweight?