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Normal Approximation

Alex Burden 8 questions

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Questions in this quiz (8)

  1. 1What is the formula for a Normal Approximation to the Binomial?
    1. AX~Bin(n,p)
    2. BX~N(np,npq)
    3. CX~U(a,b)
  2. 2What is the formula for the Normal Approximation to the Poisson?
    1. AX~N(λ,λ)
    2. BX~Po(λ)
    3. CX~N(μ,σ^2)
  3. 3A Continuity Correction must be used with both Binomial and Poisson.
    1. ATrue
    2. BFalse
  4. 4When doing Continuity Corrections, standardising is not important.
    1. ATrue
    2. BFalse
  5. 5For a Continuity Correction for a Normal Approx. to the Binomial, n must be greater than [blank_start]50[blank_end] and p must be between [blank_start]0.1 and 0.9[blank_end]
    1. A50
    2. B30
    3. C100
    4. D0.01 and 0.09
    5. E0.05 and 0.15
    6. F0.1 and 0.9
  6. 6Examples of standardising for Binomial:
    P(7≤X≥9) → P([blank_start]6.5<X>9.5[blank_end])
    P(5<X>8) → P([blank_start]5.5<X>7.5[blank_end])
    1. A6.5<X>9.5
    2. B7.5<X>8.5
    3. C4.5<X>7.5
    4. D5.5<X>7.5
    5. E4.5<X>8.5
    6. F6.5≤X≥9.5
  7. 7What must both values equal for a Continuity Correction for the Normal Approx. to the Poisson?
    1. Aλ
    2. Bn
    3. Cμ
  8. 8Examples of standardising for the Poisson:
    P(X<34) → P(X[blank_start]<33.5[blank_end])
    P(X[blank_start]>40[blank_end]) → P(X>40.5)
    P(X=38) → P([blank_start]37.5<X>38.5[blank_end])
    P(X[blank_start]≤64[blank_end]) → P(X<64.5)
    P(X≥25) → P(X[blank_start]>24.5[blank_end])
    1. A<33.5
    2. B<34.5
    3. C≥40
    4. D>41
    5. E>40
    6. F37.5≤X≥38.5
    7. G37.5<X>38.5
    8. H≤64
    9. I<64
    10. J≤65
    11. K>25.5
    12. L>24.5
    13. M≥24.5
    14. N≤33.5

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Description
A-Levels Further Mathematics Quiz on Normal Approximation, created by Alex Burden on 13/04/2017.
Language
English
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