LECTURE on left designed to be projected in a lecture hall /classroom -
text in
small black italic letters are reminders
Normal Distribution and Applications
The random variable (r.v.) denoted
simul :
.
Calculations done in exercise sessions:
E(
=
which shows that the parameter μ is the expected value.
Similarly the standard deviation is
=
and therefore
3.
work file
x values: 147.5 etc
Lengths of pointer here :
les deux:
for colored density -
Chaque taille de femme et d'homme:
counts and heights, in cm:
= number of females
In histogram area of each rectangle = relative frquency
=> sum of areas
ii. Normal approximation of empirical distribution
Male parameters
a. Expectation
These estimators are unbiased: as rv's their expectations are equal to the unknown parameters
(3)
could be estimated by:
biased
unbiased
(4)
For calculations we need:
i.
ii.
Exercise:
ladies in lecture calculate