摩根斯坦利数学类笔试题和面试题答案

思而思学 2023-11-08 14:43:36

参加摩根斯坦利笔试的时候特别注意了一下,试卷的任何部分没有关于试题内容不能泄露的要求。如果确有这样的要求,请删除吧。

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. 相关的热门笔试题目分享:
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