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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.
(b) Find the P-value (approximation is sufficient).
其他申論題
(b) What is the probability that the total time to locate 10 parts exceeds 600 seconds?
#522468
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
(c) Construct a two-sided confidence interval on the mean to test the hypotheses in Part (a).
#522473
(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
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