Discrete Random Variables Flashcards

1
Q

What is the formula for the mean of a discrete random variable?

A

Sigma(xipi)

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2
Q

What is the formula for variance?

A

Sigma(xi2pi) - Sigma(xipi)2

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3
Q

How do operations affect expectation?

A

E(aX + b) = aE(X) + b

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4
Q

How do operations affect variance?

A

Var(aX + b) = a2Var(X)

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5
Q

How can the expectations of two random variables be combined?

A

E(X1+ X2) = E(X1) + E(X2)

E(X1- X2) = E(X1) - E(X2)

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6
Q

How can the variance of two random variables be combined?

A

Var(X1+ X2) = Var(X1) + Var(X2)

Var(X1- X2) = Var(X1) + Var(X2)

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7
Q

What is the formula for the mean in discrete uniform distribution?

A

1/2(n+1)

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8
Q

What is the formula for the variance in discrete uniform distribution?

A

1/12(n2-1)

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