At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business.
a. One undergraduate student is randomly selected from this university. Find the probability that the student is majoring in Engineering.
b. One undergraduate student majoring in Engineering is randomly selected from this university. Find the probability that the student is of Asian origin.
c. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.