Unformatted text preview: of heads
tossed in the 3 ﬂips. Create a pmf for X
Solution.
From Variables to
Random Variables X
0
1
2
3 pX (x ) Probability Mass
Function 1
8
3
8
3
8
1
8 9.9 Basic Properties of a PMF
0 ≤ pX (x ) ≤ 1, ∀x ∈ R Random
Variables and
Probability Mass
Functions {x ∈ R : pX (x ) = 0} is countable. That is the set of
real numbers for which a pmf is nonzero is countable
pX (x ) = 1. The sum of the values of a pmf
equals 1
x From Variables to
Random Variables
Probability Mass
Function 9.10 Notes Random...
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This note was uploaded on 01/24/2014 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue.
 Spring '08
 MARTIN
 Probability

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