课程名称︰高等生物统计法(一) 课程性质︰系选修 课程教师︰苏秀媛 开课学院：生农院 开课系所︰农艺系 考试日期（年月日）︰99.11.19 考试时限（分钟）：120分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 请写出详细的演算过程 1. For each the following p.d.f., determine the constant C, and then depict each p.m.f. as a bar graph: (a) f(x) = c(1/4)^x, x = 1,2,3,... (b) f(x) = c(x+1)^2, x = 0,1,2,3 (c) f(x) = x/c, x = 1,2,3,...,n (d) f(x) = c/[(x+1)(x+2)], x = 0,1,2,3,... 2. Find the distribution of r.v. X for each of the following m.g.f. (a) M(t) = e^t/(2-e^t), t < ln2 (b) M(t) = e^[2(e^t-1)] (c) M(t) = [(1/3)e^t + 2/3]^5 10 (d) M(t) = Σ(0.1)e^(tx) x=1 3. Let X equal the number of green peanut M&Ms' in packages of size 22. 45 observations of X are: outcome (x) : 0 1 2 3 4 5 6 7 8 9 frequency : 0 2 4 5 7 9 8 5 3 2 (a) calculate sample mean and sample variance, (b) draw a relative frequency histogram with an appropriate Poisson probability histogram superimposed. 4. Find the mean and the variance (from p.d.f.), (a) Negative binomial distribution (b) hypergeometric distribution 5. Find m.g.f. for (a) Negative binomial distribution (b) Binomial distribution --

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