Normal Approximation

Description

A-Levels Further Mathematics Quiz on Normal Approximation, created by Alex Burden on 13/04/2017.
Alex Burden
Quiz by Alex Burden, updated more than 1 year ago
Alex Burden
Created by Alex Burden over 7 years ago
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Resource summary

Question 1

Question
What is the formula for a Normal Approximation to the Binomial?
Answer
  • X~Bin(n,p)
  • X~N(np,npq)
  • X~U(a,b)

Question 2

Question
What is the formula for the Normal Approximation to the Poisson?
Answer
  • X~N(λ,λ)
  • X~Po(λ)
  • X~N(μ,σ^2)

Question 3

Question
A Continuity Correction must be used with both Binomial and Poisson.
Answer
  • True
  • False

Question 4

Question
When doing Continuity Corrections, standardising is not important.
Answer
  • True
  • False

Question 5

Question
For 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]
Answer
  • 50
  • 30
  • 100
  • 0.01 and 0.09
  • 0.05 and 0.15
  • 0.1 and 0.9

Question 6

Question
Examples 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])
Answer
  • 6.5<X>9.5
  • 7.5<X>8.5
  • 4.5<X>7.5
  • 5.5<X>7.5
  • 4.5<X>8.5
  • 6.5≤X≥9.5

Question 7

Question
What must both values equal for a Continuity Correction for the Normal Approx. to the Poisson?
Answer
  • λ
  • n
  • μ

Question 8

Question
Examples 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])
Answer
  • <33.5
  • <34.5
  • ≥40
  • >41
  • >40
  • 37.5≤X≥38.5
  • 37.5<X>38.5
  • ≤64
  • <64
  • ≤65
  • >25.5
  • >24.5
  • ≥24.5
  • ≤33.5
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