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摩根斯坦利數(shù)學(xué)類筆試題和面試題答案

更新:2023-09-21 13:36:31 高考升學(xué)網(wǎng)

  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(guān)于試題內(nèi)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(guān)的熱門筆試題目分享:
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