In a high school graduating class of 100 students, 54 studied mathematics, 69 studied his- tory, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics.

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A: Given that  n=100, p=55%=0.55 , q=1-p=1-0.55=0.45 μ=np=100*0.55=55 σ=√npq=√(100*0.55*45)=4.9749  

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