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To facilitate solution of equations involving functions UTPN, UTPT, UTPC, and
UTPF, you may want to create a sub-directory UTPEQ were you will store the
equations listed above:
Thus, at this point, you will have the four equations available for solution. You
needs just load one of the equations into the EQ field in the numerical solver
and proceed with solving for one of the variables. Examples of the UTPT,
UTPC, and UPTF are shown below:
Notice that in all the examples shown above, we are working with p = P(X<x).
In many statistical inference problems we will actually try to find the value of x
for which P(X>x) =
α
. Furthermore, for the normal distribution, we most likely
will be working with the standard normal distribution in which
µ
=0, and
σ
2
=
1. The standard normal variable is typically referred to as Z, so that the
problem to solve will be P(Z>z) =
α
. For these cases of statistical inference
problems, we could store the following equations: