Normal Distribution - Studytime

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QUESTIONS:
NORMAL DISTRIBUTION
2014; 1a, 1c
2013; 1a, 1b, 1c
x - µ
z =
σ
Used for continuous
random variables with
for instance p(X > 70)
bell shaped distribution
For normal distribution to be applicable the situation
The parameters of normal distribution are:
must meet the following conditions:
µ = mean
σ = standard deviation
Variables must be continuous
Formulae for the expected value and variance
The distribution of values follow a symmetrical, bell
are not given in the formula sheet:
shaped curve centred around the mean or expected
value
The expected value is equal to the mean or
central value, µ = E(X)
The central value must be the most commonly
The variance is equal to the standard
occuring value, or the value with the highest
deviation squared, V(X) = σ
2
probability

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