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Relative frequency-Patient's weight and surgical recovery

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1. A medical research project examined the relationship between a subject's weight and recovery time from a 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?

Please show all work.

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The relative frequency-patient's weight and surgical recovery is determined. A complete, neat and step-by-step solution is provided in the attached file.

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