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
Geome@ive
binomial
distri-
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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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