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Introduction to Econometrics
Chapter 2
Random variables and distributions
Random variable (broken: use https://www.youtube.com/watch?v=LXHYs40tZfo
Distribution functions
Standard normal
Problem: The cdf function
Problem: The cdf function
Problem: The pdf function
Problem: The cdf function
Problem: The pdf function
Problem: Find pdf from cdf
Problem: integrating the pdf function
Problem: Find probabilities from the pdf
Problem: The standard normal
Moments of a random variable
Expected value of a discrete random variable
Expected value of a continuous random variable
The variance of a random variable
The expected value and variance of a linear function of a random variable
The normal distribution
Moments of two or more random variables
Covariance, correlation and independence (intro)
Conditional expectation and conditional variance, introduction
Sample as a sequence of random variables
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Chapter 2
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Problem: The standard normal
Problem
X
follows a standard normal distribution.
Find
P
(
X
>
0
)
Find
P
(
X
=
0
)
Find
P
(
X
>
1.96
)
Find
P
(
|
X
|
>
1.96
)
Show solution
Solution