Class summary:
Monday, 4/7
I worked out several examples illustrating
normal approximation to sums of i.i.d.
r.v.'s: (1) the distribution of the sums of digits of a
100 digit random number; (2) the probability that a
plane with 360 passengers is overloaded if one assumes the weights of
passengers are randomly distributed with a given mean and standard
deviation; (3) a proof of the normal approximation formula for the
binomial distribution by representing a binomial(n,p) random variable as a
sum of n indicator random variables and applying normal approximation
to this sum. More examples will be given on Wednesday.
Reading Guide.
The material of today's class (and that of Wednesday's class)
corresponds to Section 3.3 in Pitman's text.
I have added this section to the reading guide under the above link.
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