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- 1.
A random variable X has the following probability density function:
f (x) = λe−λ (x−a) . Please find the moment generating function of X. (5%)
- 題型：問答題
- 難易度：尚未記錄
- 2.
- 題型：問答題
- 難易度：尚未記錄
- 3.
- 題型：問答題
- 難易度：尚未記錄
- 4.
- 題型：問答題
- 難易度：尚未記錄
- 5.
- 題型：問答題
- 難易度：尚未記錄
- 6.
Peter uses a computer to do simulation. But this computer, in adding
numbers, rounds each number off to the nearest integer. If we know that
all rounding errors are independent and uniformly distributed over (−2, 2) ,
please answer the following questions. (15%)
(a) What is the probability that the magnitude of the total error exceeds 30
if 2000 numbers are added?
(b) How many numbers may be added together in order that the magnitude
of the total error is less than 20, with probability 0.9?
- 題型：問答題
- 難易度：尚未記錄
- 7.
- 題型：問答題
- 難易度：尚未記錄
- 8.
- 題型：問答題
- 難易度：尚未記錄
- 9.
In typical regression, there are several assumptions that we need to make
in order to setup interval estimates and make tests. Please list these
assumptions and some possible ways to evaluate them. (15%)
- 題型：問答題
- 難易度：尚未記錄