Distribution Equations Flashcards

1
Q

Poisson E(X) and V(X)

A

l

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2
Q

Uniform Variance

A

(b-a)^2/12

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3
Q

Binomial PMF

A

(n x) * p^x * q^n-x

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4
Q

Hypergeometric Variance

A

n(N1/N)(N2/N)(N-n/N-1)

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5
Q

Exponential Expected Value

A

O

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6
Q

Exponential PDF

A

(1/O) *e^(-1/O)

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7
Q

Exponential CDF

A

1 - e^(-1/O)

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8
Q

Hypergeometric PMF

A

(N1 x) (N2 n-x)/(N n)

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9
Q

Geometric CDF

A

1 - q^k

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10
Q

Binomial Variance

A

npq

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11
Q

Hypergeometric Expected Value

A

n(N1/N)

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12
Q

Geometric PMF

A

q^x-1 * p

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13
Q

Negative Binomial Variance

A

rq/p^2

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14
Q

Poisson PMF

A

(l^x * e^-l)/x!

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15
Q

Poisson MGF

A

e^(l(e^t - 1))

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16
Q

Negative Binomial Expected Value

A

r/p

17
Q

Geometric Variance

A

q/p^2

18
Q

Exponential Variance

A

O^2

19
Q

Uniform PDF

A

1/b-a

20
Q

Negative Binomial PMF

A

(x-1 r-1) * p^r * q^x-r

21
Q

Uniform CDF

A

(x-a)/(b-a)

22
Q

Uniform Expected Value

A

(a + b)/2

23
Q

Geometric Expected Value

A

1/p

24
Q

Binomial Expected Value

A

np