1. In study of people who got sick, subjects were asked whether they tried an herbal remedy or not and their highest education level. The responses are in the following table. Assume one subject is selected at random. Use the table to answer the following. 

Vocational		high school		college degree		graduate degree		total
tired	22		18		8		6		54
not tired	5		10		5		16		36
total	27		28		23		22		100

Round decimal answers to the thousandth’s place where applicable. Make sure that your answers are labeled correctly.

a. Find the probability the subject tried an herbal remedy.

b. Find the probability the subject answered High School.

c. Find the probability the subject tried an herbal remedy and answered college degree.

d. Find the probability the subject had not tried an herbal remedy and answered graduate degree.

e. Find the probability the subject had not tried an herbal remedy or answered graduate degree.

f. Find the probability the subject tried an herbal remedy or answered vocational.

g. Find the probability the subject tried an herbal remedy given the subject answered graduate degree.

h. Find the probability the subject answered high school given they tried an herbal remedy.

i. Find the probability the subject answered college degree given the subject had not tried an herbal remedy.

j. Are answering high school and tried and herbal remedy independent events? Justify.