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Tpdf, Tcdf – Texas Instruments TI-84 User Manual

Page 379

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Chapter 13: Inferential Statistics and Distributions

376

tpdf(

tpdf(

tpdf(

tpdf(

tpdf(

computes the probability density function (

pdf

) for the Student-

t

distribution at a

specified

x

value.

df

(degrees of freedom) must be > 0. To plot the Student-

t

distribution,

paste

tpdf(

to the Y= editor. The probability density function (

pdf

) is:

tpdf(x,df)

tcdf(

tcdf(

tcdf(

tcdf(

tcdf(

computes the Student-

t

distribution probability between

lowerbound

and

upperbound

for

the specified

df

(degrees of freedom), which must be > 0.

tcdf(lowerbound,upperbound,df)

Note: For this example,
Xmin =

L

4.5

Xmax = 4.5
Ymin = 0
Ymax = .4

f x

( )

Γ df 1

+

(

)/2

[

]

Γ df 2

(

)

---------------------------------

=

1

x

2

/df

+

(

)

df

1

+

(

)/2

πdf

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