參加摩根斯坦利筆試的時候特別注意了一下，試卷的任何部分沒有關于試題內容不能泄露的要求。如果確有這樣的要求，請刪除吧。
1. X is a uniform distribution random variable between [0,1], Y=Ln(x). What is the range of values Y can take, and Y's probability distribution function.
2. X and Y are independent normal distribution random variables with mean 0 and standard deviation 1. Prove that Z=X+Y is also a normal distribution random variable. What's Z's mean and standard deviation? What's the correlation coefficience between X and Z.
3. A binary random variable is a random variable that takes only 2 values 0 and 1. A and B are binary random vriables with
Probability(A=1) = 0.3
Probability(B=1) = 0.5
What is the min and max correlation between A and B.
4. Find all solutions to the following ordinary differetial equations.
f(x)''+2f(x)'+f(x)=2. 相關的熱門筆試題目分享：
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