A-Level Maths | Normal Distribution

2 min read

Normal Distribution

  • use this to find the probability when you have the range

Question 1

Question 2

Question 3

Inverse Normal

  • use this to find the range when you have the probability

Question 4

Question 5

Question 6

Standard Normal

  • Z = X- M/s
  • use this to find the mean or the standard deviation

Question 7

Question 8

Question 9

Hypothesis Testing

  • If X follows a normal distribution with mean μ and standard deviation σ
  • the n the sample mean X̄ also follows a normal distribution with mean μ and standard deviation σ/√n

Question 10

Question 11

Question 12

Normal Approximations

  • If X is binomially distributed, it can also be approximated using a normal distribution
  • The mean is np
  • The variance is np(1-p)
  • Continuity corrections
    • use the upper bound or lower bound accordingly to round to the required range

Question 13

Question 14

Question 15