課程名稱︰微積分乙下 課程性質︰必修 課程教師︰王振男 開課學院：醫學院 開課系所︰醫學系 考試日期（年月日）︰2011／06／14 考試時限（分鐘）：20min 是否需發放獎勵金：是 （如未明確表示，則不予發放） 1. Suppose that the distribution function F(x) is given by ╭ 0 , x＜0 │ x/4 , 0≦x＜1 F(x)＝│ (x－1)/4＋1/2 , 1≦x＜2 │ 11/12 , 2≦x＜3 ╰ 1 , 3≦x (a) Find P(X＝k),k＝1,2,3 ; (b) Find P(1/2＜X＜3/2) (10%) 2. For a certain vaccine, 1 in 500 individuals experience some side effects. Find the probability that in a group of 200 people at least one person experiences side effects. (a) use binomial distribution ; (b) use Poisson approximation. (You only need to write down formulas.) (10%) --

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