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Continuous distributions for statistical inference
In this section we discuss four continuous probability distributions that are
commonly used for problems related to statistical inference. These distributions
are the normal distribution, the Student’s t distribution, the Chi-square (
χ
2
)
distribution, and the F-distribution. The functions provided by the calculator to
evaluate probabilities for these distributions are contained in the MTH/
PROBABILITY menu introduced earlier in this chapter. The functions are NDIST,
UTPN, UTPT, UTPC, and UTPF. Their application is described in the following
sections. To see these functions activate the MTH menu: „´ and select
the PROBABILITY option:
Normal distribution pdf
The expression for the normal distribution pdf is:
],
2
)(
exp[
2
1
)(
2
2
σ
μ
πσ
−
−=
x
xf