Expectance and variance Flashcards

Understand expectance and variance

1
Q

What is E(x)?

A

The expected value for the Mean of x

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2
Q

How is E(x) calculated?

A

It is the sum of the value of x times the probability of that value of x occurring

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3
Q

What is Var(x)?

A

The variance across the values of x

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4
Q

How is Var(x) calculated?

A

Either:
-Var(x)=E((x-E(x))^2)
or
-Var(x)=E(x^2)-(E(x^2))^2

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5
Q

What is the expectance of x for the binomial distribution given by?

A

E(X)=np
where:
n-number of trials
p-probability of trials being successful

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6
Q

What is the variance of x for the binomial distribution given by?

A

Var(X)=np(1-p)

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