What is the meaning of the big letter X and the small letter x in the P (X=x)? How to read or state it

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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What is the meaning of the big letter X and the small letter x in the P (X=x)? How to read or state it?

Finding Probabilities of Geometric Random Variable
You have to play the game at least once to win, right. X represent the first win,
so attempt prior to that is a loss. Let W = win and L = loss
X
P(X=x)
1
W
(%)
20.167
Oh yeah, why are we
allowed to multiply the
probabilities, they are
INDEPENDENT events!
2
LW
(5) (%)
0.139
3
4
5
LLLW
(5)³(1)
20.096
LLW
(5)²(1)
20.116
P(X=x)= (1-P)¹.p
LLLLW
(%)^(1)
20.080
6
X
LLLLLW
(5)5(1) (5)x-1(1)
20.067
Notice the
skewed right
distribution!
Transcribed Image Text:Finding Probabilities of Geometric Random Variable You have to play the game at least once to win, right. X represent the first win, so attempt prior to that is a loss. Let W = win and L = loss X P(X=x) 1 W (%) 20.167 Oh yeah, why are we allowed to multiply the probabilities, they are INDEPENDENT events! 2 LW (5) (%) 0.139 3 4 5 LLLW (5)³(1) 20.096 LLW (5)²(1) 20.116 P(X=x)= (1-P)¹.p LLLLW (%)^(1) 20.080 6 X LLLLLW (5)5(1) (5)x-1(1) 20.067 Notice the skewed right distribution!
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