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

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Alex Burden
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Normal Approximation

Normal Approximation

Question 1 of 8

1

What is the formula for a Normal Approximation to the Binomial?

Select one of the following:

  • X~Bin(n,p)

  • X~N(np,npq)

  • X~U(a,b)

Explanation

Question 2 of 8

1

What is the formula for the Normal Approximation to the Poisson?

Select one of the following:

  • X~N(λ,λ)

  • X~Po(λ)

  • X~N(μ,σ^2)

Explanation

Question 3 of 8

1

A Continuity Correction must be used with both Binomial and Poisson.

Select one of the following:

  • True
  • False

Explanation

Question 4 of 8

1

When doing Continuity Corrections, standardising is not important.

Select one of the following:

  • True
  • False

Explanation

Question 5 of 8

1

Select from the dropdown lists to complete the text.

For a Continuity Correction for a Normal Approx. to the Binomial, n must be greater than ( 50, 30, 100 ) and p must be between ( 0.01 and 0.09, 0.05 and 0.15, 0.1 and 0.9 )

Explanation

Question 6 of 8

1

Examples of standardising for Binomial:
P(7≤X≥9) → P()
P(5<X>8) → P()

Drag and drop to complete the text.

    6.59.5
    7.58.5
    4.57.5
    5.57.5
    4.58.5
    6.5≤X≥9.5

Explanation

Question 7 of 8

1

What must both values equal for a Continuity Correction for the Normal Approx. to the Poisson?

Select one or more of the following:

  • λ

  • n

  • μ

Explanation

Question 8 of 8

1

Examples of standardising for the Poisson:
P(X<34) → P(X)
P(X) → P(X>40.5)
P(X=38) → P()
P(X) → P(X<64.5)
P(X≥25) → P(X)

Drag and drop to complete the text.

    <33.5
    <34.5
    ≥40
    >41
    >40
    37.5≤X≥38.5
    37.538.5
    ≤64
    <64
    ≤65
    >25.5
    >24.5
    ≥24.5
    ≤33.5

Explanation

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