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AS Further Maths- Edexcel

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
How do you work out E(X) of a discrete random variable?   show
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How do you work out E(X²) of a discrete random variable?   show
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Var(X) =   show
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E(aX+b) =   show
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E(X+Y) =   show
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Var(aX+b) =   show
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X~Po(λ). P(X=x) =   show
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What are the three condition needed for the Poisson distribution to be suitable?   show
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show 11  
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X~Po(λ). E(X)=   show
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show λ  
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show np  
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X~B(n,p). Var(X)=   show
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show X~Po(2) as n is large and p is small  
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What are the hypothesise for a hypothesis test for the mean of a Poisson distribution?   show
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show 1 region 1 value  
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How many critical regions/values does H1: λ ≠ 3 have?   show
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show H0- There is no difference between the observed and the theoretical distribution H1- There is a difference between the observed and the theoretical distribution  
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show How well an observed frequency fits to a known distribution  
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show Σ (Oi² / Ei) - N  
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χ² can approximate X² as long as...   show
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Degrees of freedom=   show
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show 1) A limited sample was used 2) A value was calculated beforehand  
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What dictates which χ² you use?   show
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X² > χ² then...   show
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show accept H0  
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show (row total x column total) / grand total  
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show No. cells remaining after removing last row and column  
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Created by: XanderMoore
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