Discrete Probability Distributions (Edexcel A-Level Further Mathematics): Quizzes

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Discrete Random Variables
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What is a discrete value?

A value that can take only certain fixed values

What makes a variable random?

Its value depends on chance

What is a probability distribution?

List/formula of outcomes & probabilities

In probability notation, what does large XX represent?

The actual outcome

What is the formula for expectation E(X)E(X)?

E(X)=ΣxpE(X) = \Sigma xp

What does E(X)E(X) represent?

Mean score per turn

What is the formula for E(X2)E(X^2)?

E(X2)=Σx2pE(X^2) = \Sigma x^2p

What is the formula for variance of XX?

Var(X)=E(X2)[E(X)]2\text{Var}(X) = E(X^2) - [E(X)]^2

When estimating variance from a sample, which symbol is used?

s2s^2

What is the formula for s2s^2 in terms of σ2\sigma^2?

s2=nn1σ2s^2 = \frac{n}{n-1}\sigma^2

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