Continuous sample spaces and random variables
E.g. speed of a car, amount of alcohol in persons blood,
efficiency of solar collector, etc.
Example: If an accident occurs on a freeway of length 200 miles,
it will happen
Welcome to SEG2430
Department of Systems Engineering & Engineering
What is the fastest you have ever driven a car? _ mph
Received data from 87 males and 102 females
Questions of interest:
What do we mean when we say that the probability of an event is
0.5, 0.02, 0.81?
How do we determine and measure the probabilistic values?
What are the mathematical rules that the probabilities must obey?
Mutually exclusive events do not imply independent
Be careful that P(AB)=P(A)P(B) applies only when A and
B are independent i.e. they are unrelated and there are
no common causes that jointly affect the occurrence of
A frequently used model for counts without a natural
upper bound, Poisson distribution with mean
f ( x; ) =
for x = 0,1,2,3. > 0
If A1 , A2 , A3 ,.is a finite or infinite sequence of mutually exclusive
events in S, then