Stats Flashcards

1
Q

Bernoulli random variable - mean

A

E(X)=p

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2
Q

Bernoulli random variable - variance

A

Var(X)=p(1-p)

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3
Q

Binomial distribution - mean

A

=np

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4
Q

Binomial distribution - variance

A

=npq

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5
Q

Binomial distribution - standard deviation

A

=√npq

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6
Q

Sample proportions - p̂

A

p̂=X/n

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7
Q

Sample proportions - mean

A

E(p̂)=p

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8
Q

Sample proportions - variance

A

Var(p̂)= pq/n

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9
Q

Sample proportions - standard deviation

A

√npq / n

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10
Q

PDF

A

∫ f(x) dx = 1 from -∞ to ∞

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11
Q

PDF - mean

A

∫ x f(x) dx = 1 from a to b

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12
Q

PDF median

A

∫ f(x) dx = 0.5

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13
Q

PDF - variance

A

∫ x˄2 f(x) dx - 2μ

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