A Level Maths Notes: S1 – More Calculations Involving the Normal Distribution – Finding Probabilities
Suppose
we have a distribution
We
will find
using
the diagram on the left.
This
corresponds to a probability of 0.6915 hence
Now we will find
illustrated by the diagram on the left.
Ignoring the minus sign we go to the normal distribution tables and
look for the probability corresponding to
finding 0.7422. Because we had a negative value of
we
subtract this from 1. We have found
Because the probabilities in the tables are all of the form
We
subtract this value from 1 again to obtain
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Now we use
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