The report “Great Jobs, Great Lives. The Relationship Between Student Debt, Experiences and Perceptions of College Worth” (Gallup-Purdue Index 2015 Report) gave information on the percentage of recent college graduates (those graduating between 2006 and 2015, inclusive) who strongly agree with the statement “My college education was worth the cost.” Suppose that a college graduate will be selected at random, and consider the following events:

A = event that the selected graduate strongly agrees that education was worth the cost

N = event that the selected graduate finished college with no student debt

H = event that the selected graduate finished college with high student debt (over $50,000) The following probability estimates were given in the report:

P(A) = 0.38 P(A|N) = 0.49 P(A|H) = 0.18

a. Interpret the value of P(A|N).

b. Interpret the value of P(A|H).

c. Are the events A and H independent? Justify your answer.