Flashcards in Probability Deck (32)
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1
Relative Frequency Method
Numbers of times E occurs / total number of observations
2
Numbers of times E occurs / total number of observations
Relative Frequency Method
3
Permutation
Order matters- P = n! / (n-r)!
4
Order matters- P = n! / (n-r)!
Permutation
5
Combination
Order does not matter C = n! / r!(n-r)!
6
Order does not matter C = n! / r!(n-r)!
Combination
7
Complement Rule P(E) - P(EnF) =
1 - P(E) =
P(En~F) = P(E) - P(EnF)
P(~E) = 1 - P(E)
8
P(En~F) =
P(~E) =
Complement Rule P(E) - P(EnF)
1 - P(E)
9
Addition Rule P(E) +P(F) - P(EnF) =
P(EuF)
10
P(EuF) =
Addition Rule P(E) +P(F) - P(EnF)
11
Multiplication Rule P(EnF) =
P(E) x P(F|E)
P(F) x P(E|F)
12
P(E) x P(F|E) =
P(F) x P(E|F) =
P(EnF) =
13
Proof Of Independent events
1.) P(A|B) = P(A)
2.) P(AnB) = P(A) x P(B)
14
1.) P(A|B) = P(A)
2.) P(AnB) = P(A) x P(B)
Proof Of Independent events
15
Conditional Probability of A, given B
P(A|B)
16
P(A|B) is a conditional probability for
A, given B
17
P(~A) x P(~B|~A) =
P(~A n ~B)
18
P(~A n ~B) =
P(~A) x P(~B|~A)
19
P(~A) x P(B|~A) =
P(~A n B)
20
P(~A n B) =
P(~A) x P(B|~A)
21
P(A) x P(B|A) =
P(A n B)
22
P(A n B) =
P(A) x P(B|A)
23
P(A) x P(~B|A) =
P(A n~B)
24
P(A n~B) =
P(A) x P(~B|A)
25
coefficient of variation
ratio of standard deviation to mean. SD/MEAN (smaller ratio means less variation)
26
ratio of standard deviation to mean. SD/MEAN (smaller ratio means less variation)
coefficient of variation
27
Calculating Outliers for low
Q1 - 1.5(IQR) =
28
Q1 - 1.5(IQR) =
Calculating Outliers for low
29
Calculating Outliers for high
Q3 + 1.5(IQR) =
30
Q3 + 1.5(IQR) =
Calculating Outliers for high
31
Calculating IQR (Interquartile Range)
Q3 - Q1 =
32