Class Outline
Compare and Contrast with discrete random variable
- From Discrete Uniform DU(K) to Uniform, U(0,1)
- pmf vs pdf
- Relation between the distribution function F(x) and pdf f(x) of a continous random variable
$$F′(x)=f(x).$$ - pdf is not a probability but a funciton/tool for computing probability. Specifically,
$$f(x)\neq P(X=x)$$
and
$$P(a≤X≤b)=\int_a^bf(x)\ dx.$$ - Uniform U(0,1)
- Exponential random variable $Exp(\lambda)$
- Normal random variable $N(\mu, \sigma^2).$ (if time permits)
Homework 4
Textbook Sec 58 (Page 68): 5.1–5.6. To be discussed in class 11/1.