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研究所、轉學考(插大)◆統計學
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105年 - 105 國立臺灣大學_碩士班招生考試：統計學(c)#122755
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題組內容
4. (20 points) The following data are collected in a random experiment.
(c) Construct a two-sided confidence interval on the mean to test the hypotheses in Part (a).
其他申論題
2. (10 points) f(x) = k(1+2x) for 0＜x＜2 is a probability density function. Evaluate the probability of x between 0 and 1.
#522469
3. (20 points) Show that the mean of a geometric distribution (幾何分配) with a probability of success p is 1/p.
#522470
(a) Test the hypothesis H0: μ=11.5 versus H₁: μ≠11.5 using a=0.05.
#522471
(b) Find the P-value (approximation is sufficient).
#522472
(a) Derive the normal equations (正規方程式) for the polynomial regression ŷ=b+bx+b2x².
#522474
(b) Fit the polynomial regression equation in part (a).
#522475
6. (20 points) Severe thunderstorms have been recorded at a given station over a period of 66 years. During this period, the frequencies of severe thunderstorms observed are as follows:Determine if the annual number of severe thunderstorms follow Poisson distribution with λ=1 thunderstorm per year, at 0.05 significance level.
#522476
(1).請計算求得迴歸式ŷ=a+bx?
#522477
二. (15%)假設樣本空間S = S₁ + S₂ + S₃ + S₄, 且假定 P(Sᵢ)=及 P(Sᵢ|Sⱼ) = , i = 1, 2, 3, 4, 請計算求得機率P(S₁|S₂)?
#522478
三. (15%)假設在一個地點抽樣調查結果發現某時段會出現的車輛數為二項分配(Binomial Distribution),此項調查結果的數值資料如下表,請計算求得某時段出現6部車的機率P(6)?
#522479
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