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110年 - 110 國立中央大學_碩士班招生考試_能源工程研究所/不分組(一般生):基礎熱力學#103858
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8. (15 %) Sketch schematic diagrams and accompanying T-s diagrams of a two-stage cascade refrigeration. What are the advantages of a cascade system over a single stage system?
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9.(15%)台電大潭電廠採用複循環發電機組複循環發電機組有何優點?什麼?
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(a) What is the pdf of X? (5 points)
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(b) Determine E[X] for a ＞ 1. (10 points)
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(c) What is the moment generating function of X, , where t ≤ O? (10 points) Hint: Use incomplete gamma function:
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(d) Let X1 and X2 are independent identically distributed random variables with Pareto distribution with parameter xm and a defined earlier. Show that the two random variables min{X1,x2} and (X1+ X2)/min{X1, X2} are independent. (10 points)
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2.(15 points) Let X and Y be continuous random variables having a joint density. Suppose that Y andφ(X)Y have finite expectation. Show that
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(a) Assume the mean filling volumes of two machines are the same. Please state the hypotheses that should be tested in this experiment. (2 points)
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(b) Test these hypotheses using a = 0.05. What are your conclusions? (10 points)
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(c) Find the p-value for this test. (3 points)
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(a) Please use t-test on the equality of mean filling volumes of two machines at a = 0.1. What are your conclusions? (10 points)
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相關試卷
110年 - 110 國立中山大學碩士暨碩士專班招生考試_部分碩士班:基礎熱力學#104284
110年 · #104284
110年 - 110 國立中央大學_碩士班招生考試_能源工程研究所/不分組(一般生):基礎熱力學#103858
110年 · #103858
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