Stat
400
ttrture
?
Review(2.4)
o
Bernoulli
distribution
and
its
mean, variance.
o
Binomial
distribution
and
its p.m.f.,
properties.
o Cumulative distribution
function
and
its
properties.
Stot
400
Ltrture
7
SprinA
2012
Binomial
v.s.
Hypergeometric
distribution
Example:
A
jar
has
N
marbles,
S
of them
are
orange
and
N

S
are
blue.
Suppose
3
marbles
are
selected.
Find
the
probability
that
there
are 2
orange marbles
in
the
sample,
o
[email protected]
binomial
distri
I
o"'"'
L
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* l*X;X*;
i
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1'*rr;'
btn'sTis
)o
,?
+*.,1
Wl:y".,k,,.c.tbtu4
if
the
selection is
done
...
with
replacement
(a)
N:10,
S:+
(=fu^,t
X
*br
),
r.P)
[email protected]_
os,ta)
(c) N:1000,
5:400
without
replacement
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(w)
?o t
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nt'l",!
,{
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l
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ttr+(
t!+
*
f+ta
*o+++4
t
+
W
qaf*,*!
_
t/.^rl1
t
f+lt
tw(
tg.\)
I^gr.,e
lcnr*
1"'f
".4,
f
114L
ry
P
ol40ta44<^{22
Stat
4m
lrcture
7
Geometric
and
Negative
binomial distribution
Example:
Suppose
that
during
practice,
a
basket
ball
player
can
make
a
free
throw
80%
of
the
time.
Further
more,
assume
that
a
sequence
offree
throw shooting
can
be
thought of
as
independent Bernoulli trials.
o
Let
X1
equal
the
number
of
free throws
that
this
player must
attempt to
make
a
total of
L
shot.
What
is
the
distribution
of
X1.
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 Spring '08
 Kim
 Statistics, Binomial, Probability, Probability theory, Binomial distribution, Discrete probability distribution, Negative binomial distribution, ry P

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