MATH 302 Midterm: MATH 302 2012 Winter Test 1
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Instructions: explain your reasoning thoroughly, and justify all answers (even if the question does not speci cally say so). Put a box around your nal answer: calculators, but no other aides are permitted, if you need more space, additional paper is available. Always note which questions are solved in a separate booklet, or they may not be graded: duration: 150 minutes. Mean variance (cid:0)n k(cid:1)pk(1 p)n k np p(1 p)k. A fair coin is tossed 4 times. (a) what is the probability of getting exactly 3 heads? (b) what is the probability of getting exactly 3 heads conditioned on the event that the. Let a, b be events so that p(a) = 0. 5, p(b) = 0. 4 and p(a b) = 0. 7. 6. (a) precisely state the central limit theorem. (b) suppose the weight of a person has mean 75 (kg) and variance 2 = 100. An airline has 400 passengers on a ight.
