Suppose the students at the Lebanese University, Beirut, can attend advanced math (precalculus) classes during their final year. Records show that among the students who took precalculus during their final year, 65% of them were at the top of the University’s math class, and 45% were in the middle quarter, and 35% were in the bottom of the math class.
a. What is the probability that a randomly chosen student took the precalculus during the final year?
b. What is the probability that a randomly chosen student who attended the precalculus classes will be a toper of the class?
c. What is the probability that a randomly chosen student who did not attend the precalculus classes will not be a top quarter of the class?