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無年度 - 主題課程_理工學院機率論：機率分配（離散型、連續型）#107979
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Problem 13. (2.5 %) Let X
1
, X
2
, X
3
be independent random variables with the continuous distribution over [0,1]. Then P(X
1
＜X
2
＜X
3
) =
(i) 1/6
(ii) 1/3
(iii) 1/2
(iv) 1/4
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沒有 【段考】國小數學 權限，請先開通．
#462970
沒有 【段考】國小數學 權限，請先開通．
#462971
Problem 12. (2.5 %) Let Xi, 1 ≤ i ≤ 4 be independent Bernoulli random variable each with mean p = 0.1. Let X = That is, X is a Binomial random variable with parameters n = 4 and p = 0.1. Then, (i) E[X1|X=2]=0.1(ii) E[X1| X=2]=0.5(iii) EXi|X=2]=0.25
#462972
Problem 11. (2.5 %) To obtain a driving license, John needs to pass his driving test. Every time John takes a driving test, with probability 1/2, he will clear the test independent of his past. John failed his first test. Given this, let Y be the additional number of tests John takes before obtaining a license. Then, (i) E[Y] =1 (ii) E[Y] =2 (iii) E[Y]=0
#462973
(a) (3%) Find , where the condition B ={ X ≥μx}
#462975
(b) (3%) What is E[X|B]?
#462976
10%(a) Find the moment generating function of X.
#462977
10%(b) What is the distribution of X?
#462978
1. u / u / s / m / e / m ______________________________
#462979
2. t / o / s / p f / i / e / o / c / f ______________ ________________
#462980
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