January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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PðAÞ denotes the probability of event A occurring
PðAÞ5
number of times A occurred
number of times trial was repeated
Computing probability using the complement: PðAÞ5 1 2 PðA
C
Þ
Addition law: PðA , BÞ5 PðAÞ1 PðB Þ2 PðA - BÞ
Conditional probability: PðAjBÞ5
PðA - BÞ
PðBÞ
or PðBjAÞ5
PðA - BÞ
PðAÞ
Multiplication law: PðA - BÞ5 PðBÞPðAjBÞ or PðA - BÞ5 PðAÞPðBjAÞ
Multiplication law for independent events: P ðA - BÞ5 PðAÞPðBÞ
Expected value of a discrete random variable: EðxÞ5 μ 5
P
xf ðxÞ
6.15 Binomial Probability Function
f ðxÞ5
n!
x!ðn 2 xÞ!
p
x
ð12pÞ
ðn2xÞ
6.16 Expected Value and Variance for the Binomial
Distribution
EðxÞ5 μ 5 np VarðxÞ5 σ
2
5 npð1 2 pÞ
6.17 Poisson Probability ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.