In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.

Hypertension by Obesity Level

Obesity Level Hypertension Low Average High Yes 34 30 51 No 119 99 82

a) What is the probability of an adult having hypertension?

b) What is the probability of an adult having hypertension and being classified as a low level of obesity?

c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?

d) What is the probability of an adult being classified as a high or average level of obesity?

e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?

f) Are an adult's hypertension status and obesity categorization independent? Explain.